Abstract
Throughout the last decades, collaborative schemes, under an amalgam of different acronyms (ECR, CPFR, VMR, etc.), have been developed to mitigate the problematic Bullwhip effect. Essentially, companies work together by either sharing information, making joint decisions, or sharing benefits to reach potential synergies. This work aims at reviewing these works through a systematic literature review process to investigate the different collaborative models from an operational perspective. A total of 92 articles have been classified into 3 categories: Information Exchange; Vendor Managed Replenishment; and Synchronized Supply Chain. For each category, we have identified the type of research, supply chain structures, forecasting models, demand characteristics, replenishment policies and assumptions employed in the considered articles. This article identifies the main results achieved and the gaps and opportunities to be developed as further research.
1 Introduction
Global competition has forced companies to be everyday best-in-class in all fields they work on. Nowadays, it does not matter whether a company develops and owns the patent of the ultimate product: if it is not part of a well-designed and efficient supply chain, it can end up drowning in costs [1] and, surely, struggling to be profitable since competitive firms will develop a substitute counterpart [2]. According to the American Production and Inventory Control Society (APICS) dictionary [3], a supply chain can be defined as “The global network used to deliver products and services from raw materials to end customers through an engineered flow of information, physical distribution, and cash”. Therefore, Supply Chain Management (SCM) is of paramount importance and companies have been investing large amounts of resources to enhance it in the last decades.
SCM has been broadly studied from the first time it was mentioned in the literature to manage supplies for the US Army during the II World War [4], to recently, when SCM companies analyze the new trends and challenges as Internet of Things (IoT) [5], Big Data [6] or Circular Economy [7]. SCM built upon the Logistics framework [8], seeks to achieve connections and collaboration [9] between the processes of the entities that are part of the same supply chain looking for a common benefit.
Among the SCM challenges, one of the most fascinating problems is the Bullwhip effect, which can be defined as the demand variability amplification as one move upwards in the supply chain. These fluctuations reduce supply chain effectiveness, decrease the service level and raise costs [10–12]. The first time Forrester, the forefather of the debate in the literature for over six decades, mentioned this phenomenon dates back to 1958 [13, 14], but the term Bullwhip effect (BWE) or Forrester effect was not coined until 1997 by [16]. Note that Forrester effect [14] is more related with the Demand Signal Processing called in the past Demand Amplification. For the interested reader, see reference [15]. Sometimes, it is also referred as “the first law of supply chain dynamics” [11]. This effect and its consequences have been subject of numerous studies [16–21].
BWE is very related to the uncertainty that takes place in a company when executes its own processes, keeping in mind only the information they have in their stand-alone Enterprise Resource Planning (ERP) system within the supply chain [22]. It is considered one of the major causes of inefficiency in SCM [23]. BWE has pernicious effects such as: excessive inventory investments along the supply chain, lower customer service, lost revenues due to shortages, and reduced productivity of capital investment, amongst other inefficiencies [24]; and causes losses of up to 30% of manufacturing profits [17]. Surveys of the BWE literature can be found in [22, 23]. Giard and Sali [23] study 53 articles between 1997 and 2011 and explore 13 axes of analysis such as supply chain structure or demand and inventory control models in order to analyze the causes of the BWE in the productive part of the automotive industry supply chain. Wang and Disney [22] cited 150 articles out of 455 papers that were reviewed. In that reference, the methodologies employed in BWE research were categorized into: empirical, experimental, analytical and simulation-based. The influence of demand, type of forecasting technique, time delay and information sharing were explained. Nevertheless, although it is concluded that Supply Chain Collaboration (SCC) is beneficial, none of the previous surveys have analyzed, in detail, different SCC schemes apart from the Information Exchange (IE) type. Disney and Lambrecht [25] report in an 80-page monograph, empirical evidence of the BWE effect in different industries and its causes, focusing on demand signal processing and lead time within the operational causes. They also analyze the costs that are related to the BWE and the methodological alternatives with different levels of coordination between echelons.
This work extends previous surveys by including more complex versions of SCC. According to [26], SCC is possible by sharing knowledge, information, profits, and risk. Collaboration should be a mutual goal that goes beyond a written contract. Essentially, SCC helps reduce the uncertainty generated [12, 16, 27] and the risks associated [28], and contributes to improve performance [29] along the supply chain, as well as, mitigates BWE [30].
Given the importance of SCC, several reviews on the topic have been recently published. De Almeida et al. [31] provided a review about the impact of behavioral aspects such as trust and collaboration in the SCM, and how those aspects help reduce the mitigation of the BWE. Singh et al. [29] advance on understanding the concept of SCC, where driving forces and barriers are identified. Olson and Xie [32] compare different supply chain inventory systems evaluating the use of information technology, the degree of coordination and identifying the decision responsibility. They also focus on Vendor Managed Inventory (VMI) simulation studies by analyzing 13 articles. Nonetheless, they do not look into operational decisions as either the forecasting or inventory control technique employed.
Unlike previous reviews, the aim of this paper is to provide a survey about how the diverse collaborative schemes have been implemented from an operational perspective and its relationship with the BWE. The reason behind the proposed state of the art is to serve as a guide for both researchers/practitioners interested in either reproducing or implementing a SCC. In other words, the present work intends to answer questions such as: which forecasting/inventory control technique is more utilized for each collaboration scheme?, what are the main results of empirical works?, which assumptions employed the different forecasting and inventory control models?, what kind of supply chain structures have been analyzed?, etc. In general terms, this review will be focused on technical aspects that help summarize the efforts that researchers/practitioners have made in the implementation of SCC schemes, as well as, identifying the main gaps and trends found to guide further research.
In order to structure the work, this review is based on a slight modification of previous classifications of SCC types carried out by [33] and [34]. In addition, as previous reviews in [29, 31], this study adopts a systematic literature review methodology [35].
2 Classification of collaborative models
SCC is a relatively new research concept in SCM. First articles date back to mid-1990s when Whang [36] described a VMI model. After that, the Voluntary Inter-industry Commerce Standard Association described a nine steps Collaborative Forecasting and Replenishment model, lately called Collaborative Planning Forecasting and Replenishment (CPFR) model [37].
Essentially, the task of classifying the different collaboration initiatives is a complex one, given the variety of acronyms present in the literature. Authors in [33] assure it is not easy to link external sources of information into vendor production and inventory control when there is more than one partner and they provide information with different level of detail [38]. Holweg et al. [34] also consider that SCC is a superficially simple but deeply complex concept and not as well-defined as it could be expected [39, 40].
There are many business dimensions where two companies could collaborate [29], but forecasting and inventory replenishment are key ones to improve the firms’ performance [41]. In this respect, a simple framework of different collaboration supply chain configurations was defined [33], from no collaboration using customer orders as the only external information sources (Type 0—Traditional supply chain) to sharing the distribution requirements upwards (Type IV—Replenishment, forecasting, customer inventory management and distribution planning). Later, a refinement of that classification was elaborated by [34]. Olson and Xie [32] employed 5 types of coordinated supply chain inventory management systems: traditional supply chains, Efficient Consumer Response (ECR), VMI, Continuous Replenishment (CR) and CPFR.
In this article, we employ the classification proposed by [34] with a slight variation in the representation. Basically, Holweg et al. [34] distinguish 4 different types of collaboration depending on the dimension (forecasting or inventory management) they collaborate, such as: i) The traditional supply chain or the decentralized system with no collaboration; ii) IE, where companies collaborate in terms of improving forecast performance; iii) VMR, where the collaboration is focused on replenishment; and finally, iv) SSC, where forecasting and inventory management is enhanced on the basis of mutual collaboration.
In this work, we propose that the different aforementioned types cannot be seen as isolated processes but as the result of different layers of collaboration, and hence, we reformulate the collaborative mechanism types in a layered hierarchical structure as shown in Fig 1. The reason behind this change is to make the classification more flexible to incorporate some articles that they did not fit well in the original form. In particular, according to the classification in [34], IE collaboration improves forecasting performance on the basis of sharing information, however, articles as [42–44], which were published after initial classification was proposed in [34], share information to improve inventory processes instead. Furthermore, since the inventory policy is decentralized cannot be seen as a VMR type. Theferore, with the novel layer visualization of the Holweg and collaborators [34] classification, we relax the assumption that the IE collaboration type is only intended for planning collaboration and it can be also used for decentralized inventory collaboration. This new visualization also remarks that more advanced collaborative mechanisms comprise the less advanced counterparts. In other words, a VMR collaborative mechanism cannot be adopted unless an IE also exists. Therefore, SCC can be divided in four different levels and lower levels are included in upper levels.
The review of the literature will be based on such a classification, where reviewed articles will be included in one of the four types.
3 Bibliometric analysis
Several previous reviews such as [31] and [29] followed a systematic literature review process. This survey is also addressed by using a systematic literature review [35]. Note that such a type of review adopts a replicable, scientific and transparent process to overcome potential lack thoroughness of traditional narrative reviews [35]. To carry out the systematic review, a content analysis approach is proposed since it has been employed in many review papers within the supply chain management literature ([45–47] and references therein). The review systematically conducted is based on the following four-step iterative process [45]:
Material collection, structured process of searching and delimitation of the articles.
Descriptive analysis, which provides general characteristics of the studied literature.
Category selection, aiming to construct a classification framework based on a set of structural dimensions and analytic categories.
Material evaluation, which analyses articles based on the proposed classification framework and interprets the results
3.1 Material collection
The bibliography collection ranges from 1997 to 2019 on Scopus Database (www.scopus.com) and only considers articles written in English. Although before 1997, there were articles available that dealt with BWE and collaboration models separately, the first time both concepts were jointly investigated was with the seminal paper of [16]. The final database search was done on March, 5th 2019.
To select the main articles, it is crucial to identify an effective set of keywords that capture the synthesis of the existing literature related to supply chain collaborative models and Bullwhip effect. These subjects are widely studied but, unfortunately, under an ample variety of creative names and acronyms. Regarding SCC, the keywords searched in the title, abstract or keywords were: supply chain collaboration, collaborative model, collaborative supply chain, supply chain coordination, information sharing, IE, supply chain integration, VMI, VMR, CPFR, ECR.
In relation to BWE, we proceeded analogously with the following keywords: Bullwhip effect, Forrester effect, bullwhip, bullwhip-effect. See S1 Appendix for the detailed search commands employed. The initial search resulted in a total of 404 papers. A first filter was applied by using an inclusion/exclusion criterion [35]. Such a criterion was based on number of cites: for an article to be considered it would need to be cited at least 20 times in the set of 404 articles. It means that, at least 5% of the articles related with the subject and accomplishing the criterion had considered relevant the article.
This filter was applied by using the VOSviewer tool (version 1.6.10) [48], a software tool that creates connected information maps. A map can be created using items, which are objects of interest. Items may be publications, researchers, or terms. In our work, we have used publications as items. Items can be connected by co-authorship, co-occurrence, citation, bibliographic coupling, or co-citation links. A link is a connection between two items, and each link has a strength that may indicate the number of cited references two publications have in common. Items and links together constitute a network. To construct a network, bibliographic database files (i.e., Web of Science, Scopus, Dimensions, and PubMed files) and reference manager files (i.e., RIS, EndNote, and RefWorks files) can serve as input to VOSviewer. A map also shows clusters that group a set of items. For the interested reader, further information can be found in [48–50].
VOSviewer provides three different visualizations of the map created, referred to as the network, overlay and density visualization. In this work, we have chosen the network visualization, see Fig 2. The relevance of articles in that figure is proportional to the size of the circle and the label that represents it. Note that the seminal work of [16] stands out from the rest. Furthermore, the extent of relatedness between articles is represented by the distance between them. For instance, see how close are [51] and [52]. Finally, the program automatically organizes the articles according to clusters by using different colors. It brings a total number of 95 articles.
3.2 Descriptive analysis
After reading these 95 papers, three of them were excluded because they did not implement any collaborative mechanism [53–55]. Therefore, a total of 92 articles were finally studied and classified. S1 Table shows the selected articles organized by importance according to the number of citations.
They spread across 43 different journals, in which 14 published more than one paper. Fig 3 illustrates the distribution of the articles by publication. The high number of international journals where articles have been published and the variety of fields of these journals, indicates that SCC and BWE are actively studied from different perspectives.
3.3 Category selection
This step aims to find a framework formed by structural dimensions and analytical categories that allows to organize the literature review. Table 1 shows the 10 structural dimensions that have been accounted for and their possible values. The first dimension refers to intercompany integration. Here, we have used the classification of collaborative types described in Section 2.
Table 1. Structure dimensions and analytic categories of the literature review.
Structural Dimension | Analytic categories |
---|---|
Intercompany integration | Traditional Supply Chain |
Information Exchange | |
Vendor Managed Replenishment | |
Synchronized Supply Chain | |
Type of research | Empirical |
Theoretical | |
Descriptive | |
Behavioural | |
Number of echelons | 2, 3, 4+ |
Supply chain structure | Serial |
Convergent | |
Divergent | |
Network | |
Type of demand | Simulated |
Real | |
Forecasting model/method | ARIMA (AutoRegressive Integrated Moving Average) |
Moving Average | |
Exponential Smoothing | |
Linear Regression | |
Machine Learning | |
Inventory control technique | Classical OUT |
Control Engineering | |
Beer Game | |
EOQ | |
JIT | |
Inventory model assumption | Lost sales |
Backordering | |
Collaboration objective | BWE reduction |
Improve communication and reduce uncertainty | |
Improve customer service | |
Reduce inventory level | |
Reduce costs | |
Bullwhip effect | Reduced |
Non reduced | |
Statement of facts |
The type of research describes how the article has addressed the problem. Here, we can distinguish 4 types that are not mutually exclusive: empirical, theoretical, descriptive and behavioral. Empirical works are those whose results are based solely on real data. Theoretical works include both analytical and simulation results. Within theoretical works we have also included articles based on a control engineering perspective. Descriptive articles explain the phenomenon and main characteristics as well as how to solve the described problems from a qualitative point of view. This structural dimension can be seen as a mixed of descriptive and prescriptive articles, [23]. Behavioral category is centered on cognitive limitations of the decision makers, failure to adequately account for feedback effects and time delays, mistrusts and counteracting strategies [56, 57]. Different business games are commonly used under this structural dimension, e.g., the well-known Beer Game.
Number of echelons and supply chain structure dimensions provide an idea of how complex the supply chain under study is. Serial SC consists of echelons only connected to another single echelon upwards and downwards, [23]. In a divergent structure each echelon can be connected to several downstream echelons, although to a unique upstream echelon. Symmetrically, a convergent structure assumes that each echelon can be connected to several upstream echelons and to a unique downstream one. Finally, a network structure considers that an echelon can be connected to any number of upstream and downstream echelons without a cyclic relationship, [23].
Type of demand refers to either the demand has been simulated with random number generators or is based on real data. Note that articles using real demand data that has been fed into simulations are also categorized as theoretical works, in order to distinguish them from fully empirical works.
Forecasting model/method explains how the forecasts are performed. Well-known forecasting models and methods are chosen, but also, Machine Learning approaches, since they are gaining more attention from the SC community.
Inventory control technique dimension classifies the reviewed articles depending on whether the replenishment policy follows a classical Order Up To (OUT) [58]; control engineering approaches; ordering rules typically used in simulated games as the Beer Game; Economic Order Quantity (EOQ); and Just In Time (JIT) ordering types. It is also investigated if the inventory control assume a lost sales case or total backordering.
The two last rows detail the collaboration objectives and whether the collaboration has reduced the BWE, respectively. Although one of the main objectives of the collaboration is to reduce the BWE, such a reduction does not have a direct translation in cost/customer service terms. Therefore, we have complemented the BWE with the following objectives: improve communication and reduce uncertainty (which is associated to an improvement of forecasting accuracy), improve customer service, reduce inventory level, and reduce costs. Note that, statement of facts refers to the case when a straight answer about the reduction of BWE cannot be deduced and other circumstances should also be attended.
To structure the article, next sections analyse the dimensions defined in Table 1 according to the intercompany integration.
As a visual aid to better understand different collaborative models, we retrieve the “water tanks” models utilized by [33, 34] that represent the way two companies collaborate each other in supply chains. Basically, there are two ordering decisions (the “ball-cock valves”) to describe a simple two-level supply chain. Water stored in the tanks represents the inventory level and the water flow indicates product sales.
Fig 4 shows the traditional supply chain that refers to a decentralized system where each member feeds its own Forecasting Support System with incoming orders from direct customers [59]. No company considers the situation either up- or downstream of the supply chain. Nowadays, this configuration is still very common. Thus, no collaboration exists between the retailer and the supplier [34] and the BWE problem is expected upwards in the supply chain. Upper part of Fig 4 shows how the flow variance, which represents the order variance, is amplified when moving from retailer to supplier.
This configuration is usually employed as a benchmark when showing the advantages/disadvantages of any other type of SCC, see for example [43, 60, 61].
4 Type I—Information exchange
Also called information sharing, this collaboration type refers to the extent to which a firm shares a variety of relevant, accurate, complete, and confidential information in a timely manner with its supply chain partners [62], whilst both retailer and supplier order independently looking for improving their forecast for capacity and long-term planning. Fig 5 depicts the water tank analogy for IE, where the supplier is able to “see” the consumers demand in real time, although the ordering decisions are decentralized. The upper plots of flow vs time show that still exists a demand variance amplification, since IE cannot remove completely the BWE.
It is considered the basis of the integration [63], i.e., the essential one required for all further collaboration [62, 64].
Information sharing is the first level of collaboration between companies, see Fig 1, S2 Table summarizes the articles included under the IE scheme. Note that IE is the best documented type of collaboration with 73 out of 92 articles, that is approximately 79% of our sample.
Nowadays, the continuous advancements on Information and Communication Technologies (ICTs)—ranging from the well-known Electronic Data Interchange (EDI) [65] to Big Data [66] and IoT [67] trends—facilitate the information sharing collaboration type from a technological perspective. However, the question of how the internal analytics should be changed, does not have a straightforward answer.
4.1 Type of information exchanged
Regarding the information exchanged, Lee and Whang [63] describe the different types of shared information as inventory level, sales data, order status, sales forecast or others. When analyzing the articles that implement an information sharing collaborative scheme, the most frequent piece of information shared is the customer sales data [59, 68–74]. Essentially, when information sharing is active, upward members of the supply chain have two sources of information available: orders from right downward echelons and the end customer data. The way to deal with both sources of data is not unique. Some articles integrate both, modifying the previous forecasting models [42, 59, 72] while others simply replace orders by the end customer data without changing the forecasting technique [68–70]. The implications of integrating versus replacing still remains as an open question. Note that partial information sharing has also been investigated [69, 74, 75]. Viswanathan et al. [76] analyze the performance of a synchronized ordering scheme that only shares the ordering interval between echelons in a MRP framework. These authors remark the importance of coordination even when the lack of trust may complicate the sharing of sensitive information.
Apart from sharing end customer demand data, Cannella et al. [43] analyze different cases where inventory information was shared, Chen and Lee [77] identify the projected future orders of the downstream member as a key variable for information sharing. Although most of the information shared went from downward to upward members, Lee and Whang [63] explain how sharing order status from upward to downward members can help solve first call problems.
4.2 Type of research
The analysis of how information sharing has reduced the BWE has been carried out under different types of research. The most common approach (51 out of 73, 70%) is the theoretical one. In this type of research, simulations are usually employed, although under many different software systems. Originally, a continuous simulation system called DYNAMO was employed [13, 14], Chatfield et al. [69] created a k-stage serial supply chain simulation model (SISCO “Simulator for Integrated Supply Chain Operations”) that was employed to analyze the impact of information sharing. Fiala [78] suggested STELLA software. SIMULINK/MATLAB was employed by [51, 79]; AweSim 3.0 by [42]; Rockwell Software Arena v5.0 by [75]; Vensim PLE by [43]; SIMUL8 by [74]; iThink® by [80]. An extension of the Beer Distribution Game applied to reverse supply chains is utilized as the Cider Game in [81]. In the rest of theoretical studies, either a general scientific software was employed or it was not clearly specified.
Apart from the theoretical simulations, where Bullwhip causes are analyzed from an operational perspective, the Bullwhip causes can also be studied from a behavioral point of view. The behavioral type of research is the second most investigated with a total of 17 articles (23%). In this case, usually, the forecasting and ordering policies are judgmentally introduced by human agents, although they can also be replaced by automatic decisions [82]. Bullwhip causes are also investigated by means of simulation games. The most well-known simulation game is the Beer Distribution Game [56, 57, 83], although other simulation game versions are employed. For instance, the Québec wood supply game, [61, 84, 85] or the Lean Leap Logistics Game, [86], derived from the Lean Processing Program related to a problem of product conversion in the automotive steel supply chain in the UK.
Empirical works are scarcer than theoretical ones. Trapero et al. [59] analyze the influence of information sharing on the forecasting accuracy using real sales and shipments data between two serially linked companies located in the UK within the personal care industry. Yao and Zhu [87] study empirically the effect of information sharing on the BWE using macroeconomic industrial data in the US. Wong et al. [42] compare the BWE decrease whether retailers share or not certain downstream information in a three-level (divergent) toy supply chain subject to seasonal demand. In this article, forecast updating mechanism and replenishment rules are modified to accommodate shared information. Croson and Donohue [83] examine the influence of point of sales data on the ordering decision and how it can reduce the BWE. McCullen and Towill [88] explain how to reduce BWE using rapid response manufacturing, putting in place a Distribution Requirements Planning (DRP) in precision mechanical engineering sector and supply chain integration. Furthermore, they reduced the material processing lead time from 23 to 2 weeks (time compression of 91%) and the BWE up to 58%.
Finally, 6 out of 73 articles utilize a descriptive approach. In this class of articles, authors describe the reality of the collaboration between companies based on how they are currently working. Among the descriptive articles, references [22, 23, 25, 34] are either surveys or state of the art works that have been mentioned in the introduction. Lee and Whang [63] described the types of information shared in several industry examples, as well as the alternative technological systems to enable information sharing. A case study in the supply chain of The Absolut Company is investigated in [89]. In that reference, the authors demonstrate the relationship between reciprocal and serial interdependence and IE patterns in dyads. They also analyze the barriers of sharing information across multiple tiers given pooled interdependencies.
4.3 Supply chain structure and number of echelons
The supply chain structure in IE is mainly serial (76%), followed by a divergent structure. On this subject, the number of echelons analyzed in those supply chain structures tend to be uniform, where frequently, the articles analyzed supply chains with 4 or more echelons.
4.4 Type of demand and forecasting model
The adequate forecasting model/method depends on the demand that the company is facing. Such a demand can be classified according to how it is generated, i.e., either simulated (artificially generated with random numbers following a statistical distribution) or real (obtained from a company). Most of the articles considered a simulated demand (82% approx.). Among the demand types, we can find stationary demands that follow the independent, identically and distributed (iid) assumption, for example [44, 69, 74, 85]. In these cases, the typical forecasting technique employed was moving average and single exponential smoothing. Several works employ stationary but correlated demands as AR(1) [70, 71, 77]. Non-stationary demands are also analyzed [71–73, 77, 90]. Reference [77] employed a generalized demand model, particularly, the Martingale model of forecast evolution that incorporates particular demand models as the iid normal demand model, the AR(1) model, the IMA(0,1,1) model, the general ARMA model, the linear state-space model and the advance demand information model. In addition, works centered on inventory policies employ a different type of demand typically used in a control engineering setting as step inputs [44] and pulse inputs [43] to excite the system. It is worth noting that more evidence is necessary to see the potential of machine learning forecasting techniques, since only 2 articles referred to them in this literature review, [59, 91]. Furthermore, fast moving consumer goods are the most common items analyzed, while slow moving demand items are very scarce, where only reference [76] analyzed these products by means of Croston method.
Despite the fact that demand forecasting in companies still relies on judgmental adjustments [92, 93], a rigorous analysis of the relationship between judgmental forecasting and IE has not been identified. In other words, would suppliers’ demand planners benefit from accessing end customer sales data to judgmentally adjust demand forecasts? Such a kind of question remains open and it suggests an interesting stream of research.
4.5 Inventory control technique and assumptions
OUT policies are the most frequently used (47% approx). The second most frequent inventory policy is based on a control engineering perspective. For example, the family of smoothing replenishment rules [79] based on a control engineering perspective. Authors in [94] and [77] have proposed generalized versions of OUT policy, where Hosoda and Disney [94] analyze the effect of a proportional controller incorporated into the OUT policy and Chen and Lee [77] is based on the Martingale model of forecast evolution for the demand process. Ouyang and collaborators in [71, 95] analyzed a broad family of ordering policies that are both proper and linear and time-invariant, for instance, OUT policies fulfill those conditions.
Order policies such as EOQ and JIT are also present with a few examples. Viswanathan et al. [76] use a dynamic lot-sizing technique based on the Silver-Meal heuristic [58] to calculate the economic order interval; downstream echelons only were allowed to place orders at fixed interval (or n x economic order interval). Lee and Kumara [96] evaluate and compare different types of replenishment policies among themselves (i) Standard Branch-and-Bound method; (ii) Wagner-Whitin algorithm proposed by [97]; and three initial plans used as benchmarks: (iii) Latest Order Planning; (iv) Earliest Order Planning; and (v) Upstream Planning always satisfying the external demand. The aim was to minimize the cost plan.
Nienhaus et al. [82] allow users to simulate the beer game playing with the computer. In this regard, it is possible to define techniques such as (i) Moving average/standard deviation where the amount ordered is the average orders during the last five periods plus an amount to cover the safety stock based on the standard deviation, (ii) Keep level of stock, which was the best solution, where orders received from a customer are passed on to the supplier; and human-like strategies: (iii) Safe harbour, where more than what is actually necessary is ordered and then safety stock is increased; and (iv) Panic, where stock is emptied before the end customer’s demand increases. Hieber and Hartel [98] use 13 techniques split in different groups: Standard strategies (Re-order quantity and EOQ), Random order strategies (basic, panic and limited), Matching demand and supply strategies (basic, panic and limited), history order strategies (basic, panic and limited) and interactive strategy.
Another stream of ordering rules is the one proposed in [61, 84, 85], which is based on tokens to achieve a decentralized coordination validated by the Wood Supply Game, where companies in the supply chain are considered agents. The idea behind that is to divide the orders in two parts: i) the classical order to manage real demand; ii) a token to manage fluctuations of such orders.
It is interesting to note that most of the inventory control techniques that assume stochastic demand also assume total backordering, where lost sales assumption is only made in 4 articles.
Although the implementation of an IE framework aims to improve the forecasting performance, some articles analyze the impact of information sharing on the replenishment policy used. In this sense, as occurred with the forecasting models, some works modify the replenishment policy to incorporate the shared information efficiently, [42–44].
4.6 Collaboration objectives and Bullwhip effect
The most frequent objective of collaboration is to analyze the BWE, with almost 62% of the articles. The BWE is reduced in most of them. Nonetheless, some articles [99, 100], state an increase of the BWE. Authors in [99] investigate the typical assumption of permitting returns (negative orders) and they show that significantly increases the BWE. Thonemann [100] analyzes the fact of sharing Advance Demand Information (ADI). Customers share both aggregated and detailed ADI with manufacturers. Although such information exchange can reduce the cost of the manufacturer, it may also increase the variability of the production, thus increasing the BWE.
Apart from reducing the BWE, the rest of objectives are also documented in the IE category, where customer service level is the less frequent among the collaboration objectives.
5 Type II—Vendor managed replenishment
According to [34], “Vendor Managed Replenishment means that the task of generating the replenishment order is given to the supplier, who takes the responsibility for maintaining the retailer’s inventory, and subsequently, the retailer’s service levels […] having full visibility of the stock at the customer’s site, the supplier is wholly responsible for managing the inventory.” Fig 6 exemplifies the VMR using the water-tank analogy, where the retailer ordering decision is within a box in a dashed line together with the supplier ordering decision. That represents that the supplier is in charge of the retailer ordering decision. Note that the upper plots of flow vs. time are not identical, because they are not synchronised, but they show the same demand variability. That indicates that VMR can remove completely the BWE. The vendor can be the supplier in a retailer-supplier collaboration, although the analysis is applicable to the wholesaler-distributor or the distributor-manufacturer relationships as well. Vendor and customer create a mutually agreed framework of trust, where vendor monitors and constantly updates the performance targets creating an environment of continuous improvement [101, 102], eliminating one layer of decision-making and information flow time delays [51].
VMR is the second step in the collaboration stairs, see Fig 1, since it cannot take place without information sharing. It is also the second most analyzed with 18 out of 92 articles in our sample, see S3 Table.
One of the problems the authors found was the acronyms puzzle of different initiatives related to VMR. Table 2 shows the different acronyms and the references where they were found. Regarding that table, note that authors do not consider Consignement Stock (CS) a VMR collaboration approach, in line with [34]. Instead, in our view, it is closer to a traditional supply chain, where the differentiating attribute is that stock is stored in the customer’s facilities, although the owner is the supplier and customers only pay when the product is consumed, and thus, decisions are made independently. Furthermore, CPFR is considered as a Synchronized Supply Chain rather than a VMR.
Table 2. List of acronyms that have been used to mention VMR collaboration types.
Name | Acronym | References |
---|---|---|
Advanced Continuous Replenishment | ACR | [103] |
Collaborative Commerce | CC | [104] |
Centralized Inventory Management | CIM | [51, 52, 105] |
Co-managed Inventory | CMI | [104] |
Continuous Partnerships | CP | [103] |
Collaborative Planning, Forecasting and Replenishment | CPFR | [51, 52, 104–106] |
Continuous Replenishment | CR | [32, 51, 52] |
Continuous Replenishment Program | CRP | [11, 105, 107] |
Consignment Stock | CS | [25, 108] |
Collaborative Transport Management | CTM | [104] |
Efficient Consumer Response | ECR | [32, 51, 52, 104–106] |
Efficient Food-service Response | EFR | [104] |
Quick Response | QR | [51, 52, 103] |
Quick Response Manufacturing | QRM | [34] |
Rapid Replenishment | RR | [51, 52, 105] |
Synchronized Consumer Response | SCR | [51, 52, 105] |
Vendor Managed Inventory | VMI | [11, 25, 32, 34, 51, 52, 103–113] |
Vendor Managed Replenishment | VMR | [34] |
5.1 Type of information exchanged
The information usually shared to set the VMR are demand, measured by either orders or sales, and inventory. 72% of the articles have both inputs [25, 32, 51, 52, 103, 105, 106, 108–113]. Holweg et al. [34] consider only the stock information at the customer’s site as information required and Xu et al. [107] consider sufficient the retailer’s actual demand information as the base of collaboration.
Apart from the information shared, how such information is sent to the supplier is also an important matter. In fact, Xu et al. [107] argue that this interface should not be disregarded, since it is one of the critical parts of the forecasting process. New information technologies as internet or RFID have been used to foster such sharing [104]. Unfortunately, just a few articles provide this kind of details. In general, it can be sent via (i) EDI [107, 112]; and (ii) ICTs [32, 103, 104, 106, 110, 113]. Additionally, SAP interface is mentioned in [25].
5.2 Type of research
Most of the articles are theoretical (61%). 4 out of these 11 use MATLAB to carry out the simulations [51, 52, 105, 108], and reference [109] uses GoldSim simulation software.
6 articles out of 18 are descriptive [11, 25, 32, 34, 52, 104]. 2 out of these 6 articles [52, 104] expose mainly the BWE problem and causes. Olson and Xie [32] compare different coordinated supply chain inventory management systems and review several simulation VMI studies. Kouvelis et al. [11] is a survey that indicates the contribution of Productions and Operations Management journal on SCM. One of the topics included is supply chain coordination, where schemes such as VMR are discussed.
2 articles out of 18 are empirical [110, 112]. Kaipia et al. [110] evaluate the performance of a manufacturer planning process within the electronics industry. They give some advice to improve As-Is VMI model when a new product is released. Dong et al. [112] examine benefits to downward members from implementing a VMI with respect to an IE collaboration type. This work uses an item-level data set comprised of 30 distributors and one manufacturer. 20 out of 30 distributors have implemented a VMI in different time periods, whereas 10 had just implemented an IE. Both implementations were based on a third-party information-services provider. Two econometric models were assessed to compare inventory, stock-out levels and inventory variability for items managed with VMI with respect to items managed with IE. The results showed that VMI reduced inventory levels by 7% on average, stock-outs by 31%, and inventory variability by 9%.
Finally, 1 article is behavioral [106] and concludes that BWE is not reduced using a VMI strategy. The conclusion is based on the fact that, although ICTs provide transparency and reduce drastically the uncertainty, they create a much more complex environment with a lot of additional information that the decision-maker can hardly manage.
5.3 Supply chain structure and number of echelons
The most common supply chain structure used in VMR articles is a linear two-echelon supply chain, 7 articles out of 18. Another stream, 3 out of 18, use a divergent two-echelon supply chain [108, 112, 113]. Kaipia et al. [110] use a divergent four-echelon supply chain, a two-echelon network supply chain is used in [103], and a linear four-echelon supply chain in [75, 106].
5.4 Type of demand and forecasting model
Unlike information sharing, decisions about forecasting technique and replenishment policy are less relevant with regards to the subject of the articles. Only 27% of the articles provide information about the forecast technique applied and they all utilized exponential smoothing, the rest of the articles do not provide clear information about the technique used. Note that most of the demand patterns are simulated, where only 3 articles [34, 110, 112] deal with real data.
5.5 Inventory control technique and assumptions
Regarding replenishment policies, 5 works use Automatic Pipeline, Inventory and Order Based Production Control System (APIOBPCS) [51, 52, 105, 106, 111]. Other 4 use OUT [52, 75, 107, 109]. Disney and Towill [52] compare APIOBPCS against OUT in order to evaluate its performance. A complex heuristic algorithm called particle swarm optimization to solve the problem is used by [103]. The rest of the articles, 9, do not provide any relevant specific information.
Due to the long lead time, Chen et al. [113] use a transshipment point to move material among the retailers, based on their sales in the previous period.
The most common inventory assumption was total backordering, where only 3 articles [103, 108, 113] assumed lost sales case. Note that Chen et al. [113] use backlogging during the first period and lost sales only in the second part of the experiment.
5.6 Collaboration objectives and Bullwhip effect
Regarding the objectives pursued in the VMR articles, Sadeghi et al.[103] minimized the total inventory cost along the supply chain. Supplier production cost and inventory and retailer purchase costs are analyzed in [51, 105, 112]. Shortage, holding and order costs are evaluated in [75]. Considering inventory level, Xu et al. [107] focus on reducing safety stocks as an important part on the level of inventories held by a company. Disney et al. [106] aim to reduce the total system inventory level. Kristianto et al. [109] reduce inventory standard levels and the magnification of the order variance. Sadeghi et al. [108] aim to find the optimum order size, the replenishment frequency of the retailers and the shortest route, minimizing total inventory and transportation cost. Kaipia et al. [110] reduce the maximum inventory level target in the retailer when a new product is released.
Focusing on consumer service objective, supplier distribution service level and retailer product fill rate are studied in [34]. Maintaining customer service level reducing inventory investment is also investigated in [111]. Yu et al. [75] also investigate fulfillment rate and customer service level.
Regarding the BWE, 12 out of 18 analyze it either as the main objective [52] or as a secondary one, and confirm that using a VMR strategy reduces the BWE.
6 Type III—Synchronized supply chain
According to reference [34], this type of collaboration eliminates one decision point and merges the replenishment decision with the supplier’s production and materials planning. Supplier not only takes charge of the customer’s inventory replenishment at operations level, but also uses the visibility when planning its own supply operations. The benefit is that downstream requirements are smoother than purchase orders generated based on a reorder role and, the demand variability, stock cover and the costs become lower [114]. Sari [39] argues that SSC, also called CPFR, requires all members of a supply chain to jointly develop demand forecasts, production and purchasing plans, and inventory replenishment. Following the water-tank analogy, Fig 7 represents the SSC, where the main difference with respect to the previous collaboration schemes is that the planning and inventory processes are centralized and that is represented by linking the two tanks together. That means that the two tanks are driven by the retailers demand and they are synchronized by a single ordering decision. This is also represented by the identical upper plots of flow vs. time. S4 Table shows the summary of the SSC typology.
6.1 Type of information exchanged
Unlike VMR, SSC utilizes more information to build the model: (i) Member’s orders [43, 60, 88]; (ii) inventory levels [43, 60, 88, 115–117]; (iii) work in progress levels [43, 60, 116]; (iv) lead times [43, 60, 118]; (v) safety stock factors upstream [60]; (vi) market demand information [43, 60, 88, 115, 117]; (vii) demand forecast [43, 88, 117]; (viii) Master Production Schedule (MPS) [88]; (ix) replenishment orders [43, 88, 117]; (x) promotion information [115, 117]; (xi) capacity information [115]; (xii) sales plan [116]; (xiii) lead time of work orders [116]; (xiv) demand patterns [118]; (xv) replenishment policies [118]; (xvi) parameter settings [118]; (xvii) delivery information [43, 117]; (xviii) supplier item shortage [117]; (xix) competitor information about promotion information or marketing strategy [117]; and (xx) backlog information [43].
6.2 Type of research
Classifying the articles by type of research, 6 out of 11 articles are theoretical [43, 60, 115, 117–119]; 3 articles are classified as empirical [88, 116, 117], where [117] can be classified as both theoretical and empirical works; and finally, references [32, 34] are categorized as descriptive. Note that any behavioural work has been found when dealing with SSC.
6.3 Supply chain structure and number of echelons
The most typical is a linear two-echelon supply chain, with 4 out of 11 articles [34, 115, 117, 118]. The following one is a linear four-echelon supply chain with 3 [43, 60, 120]. McCullen and Towill [88] use a divergent three-echelon supply chain and a network of four-echelons is represented in [116].
6.4 Type of demand and forecasting model
The forecasting techniques employed are entirely univariate based on either moving average [117] or exponential smoothing [43, 117, 120]. The demand types employed are well-balanced with 5 articles working with simulated demand and 4 with real demand.
6.5 Inventory control technique and assumptions
Only 6 articles provide information about the replenishment technique used: (i) smoothing replenishment policies [60]; (ii) Synchronized Base Stock policies (SBS) [116]; (iii) OUT level [115, 118]; (iv) fixed time period policy [117]; and (v) Deziel and Eilon Automatic Pipeline Variable Inventory and Order-Based Production Control System (DE-APVIOBPCS) [43]. All of them assume total backordering and none includes the lost sales situation.
6.6 Collaboration objectives and Bullwhip effect
The collaboration objectives found are: (1) reducing inventory level by either reducing the safety stock (a safety buffer is always required)[34, 88] or the stock and obsolescence [116], (2) increasing the customer service levels improving the fill rate [32, 60, 88, 115, 116], (3) reducing overall cost of the supply chain [32, 43, 117, 118].
Focusing on the BWE, it was the main primary objective in [43] and [60, 88, 115–119] as a secondary. All of them confirmed that SSC helps eliminate BWE.
7 Conclusion
Supply Chain Collaboration as a tool to reduce the Bullwhip effect and associated costs is an attractive work area for practitioners and academics alike. However, novel developments under different acronyms are spread in the literature making very difficult to track potential advancements. This work intends to organize such developments by classifying the published articles according to 3 types of collaboration mechanisms: Information Exchange, Vendor Managed Replenishment and Synchronized Supply Chain. The bibliography was selected following a systematic literature review process, where 92 articles were finally considered. Those articles were analyzed to extract their main operational characteristics as type of research, collaboration objective, supply chain structure, type of demand, forecasting model, inventory control technique and respective assumptions. Those features were summarized in 3 tables.
In general, Information Exchange is the collaborative scheme better studied with 73 articles, followed at some distance by Vendor Managed Replenishment (18) and finally Synchronized Supply Chain (11). The main conclusions/gaps referring to operational decisions that can be drawn across the different types of collaboration are: i) given the complexity of modeling supply chains, the simulation approach is the preferred one. Nonetheless, given the plethora of simulation software available for both theoretical and behavioral experiments, developing a free supply chain toolbox in simulation software would be of great benefit. This toolbox would allow researchers to either reproduce or use previous models, which have been tested, so that they do not have to implement it from scratch and avoid mistakes in the implementation; ii) there exists a serious lack of empirical works at various levels. For example, fully empirical works as [59, 87] and semi-empirical works where real demand data is employed within simulations to verify theoretical developments as [68, 121]; iii) the integration versus substitution issue of end demand as well as other demand drivers in relation to the forecasting model still remains an open question and further research is needed about the adequacy of each option; iv) the influence of shared information on the accuracy of judgmental forecasting is completely overlooked; v) more comparisons between machine learning and traditional statistical forecasting methods is also required; and finally, vi) despite the fact that lost sales case is frequent in some sectors as retailing [122], most of the simulations are based on the total backordering assumption and more research is needed assuming the lost sales case.
Although the previous conclusions apply to the 3 types of collaboration, as we move forward to more sophisticated extents of collaboration, some of the aforementioned weaknesses become more exacerbated. For instance, since suppliers have access to enriched information (end customer sales data, retailer inventory level, etc.), they must consider using more complex forecast techniques. As authors have disclosed, most of the theoretical articles use exponential smoothing as forecasting technique. The same conclusion can be extended to inventory policies. The inclusion of machine learning approaches in complex collaborative mechanisms is a potential research opportunity. Additionally, most of the articles use serial dyads, this approach is really distant from practitioners #x2019; reality, widening the gap between real practice and theory.
In relation to Synchronized Supply Chain, it should be noted the scarce number of works. In fact, no behavioral research was found and inventory assumptions are only based in total backordering assumption without exploring the lost sales case. Generally speaking, companies that tried, are trying or will try to implement such a collaboration need to understand the complexity and potential problems that they need to cope with: (i) difficulty to properly incorporate customer information into the supplier systems and not only as an input into the judgmental decision process [32, 34, 116–118], (ii) distance between supplier and customer becomes important because the lead time [34], (iii) lack of “real-time” information in the processes causing higher level of stock [88, 115].
Apart from the aforementioned operational difficulties associated to collaborative mechanisms, it is also important to consider behavioural issues such as the lack of trust between supply chain partners and the risk of information leakage [123].
It is also important to get a deeper insight about implementation issues, since it is a cumbersome task for suppliers to handle clients with and without collaborative mechanisms at the same time. Despite the implementation difficulties, achieving a collaborative program as vendor managed replenishment seems to be a win-win strategy to pursue. In the short/mid-term, supplier looks like the main beneficiary since the benefits in safety stock and resource waste reduction are more tangible, but retailer does not incur in costs related to demand forecasting, order placement and excessive inventory held, providing strong incentives to join supplier in such initiative. Long-term, supplier can retain customers building loyalty and reducing costs using the information shared and the retailer can ensure an interrupted supply of the product to keep operations going, whilst inventory level is reduced and, therefore, labor costs. Nevertheless, the way benefits should be shared among the members of the collaboration is also a promising further research.
It is the first author’s view that, as a practitioner in several projects related to implement collaborative mechanisms between companies, nowadays, for many organizations, Synchronized Supply Chain implementation is still assessed as a pilot project that needs to be further developed in order to convince managers to invest on it. Hopefully, the present literature review will guide researchers and practitioners to develop further insights in this exciting discipline.
Supporting information
Data Availability
All relevant data are within the paper and its Supporting Information files.
Funding Statement
This work was supported by the Spanish Government (MINECO/FEDER, UE) under the project with reference DPI2015-64133-R and by the Vicerrectorado de Investigaci\’on y Pol\’itica Cient\’ifica from UCLM through the research group fund program (PREDILAB; DOCM 24/01/2019 [2019/536]) and by the European Regional Development Fund. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
References
- 1. Hu J, Hu Q, Xia Y. Who should invest in cost reduction in supply chains? International Journal of Production Economics. 2019;207(February 2018):1–18. 10.1016/j.ijpe.2018.10.002 [DOI] [Google Scholar]
- 2. Cai J, Tadikamalla PR, Shang J, Huang G. Optimal inventory decisions under vendor managed inventory: Substitution effects and replenishment tactics. Applied Mathematical Modelling. 2017;43(43):611–629. 10.1016/j.apm.2016.11.027 [DOI] [Google Scholar]
- 3.Doufherty JR, Wallace TF. APICS Dictionary; 2013.
- 4. Ritchie SB. Science in national security. Journal of the Franklin Institute. 1948;246(3):223–231. 10.1016/0016-0032(48)90068-4 [DOI] [Google Scholar]
- 5. Lezzi M, Lazoi M, Corallo A. Cybersecurity for Industry 4.0 in the current literature: A reference framework. Computers in Industry. 2018;103:97–110. 10.1016/j.compind.2018.09.004 [DOI] [Google Scholar]
- 6. Frank AG, Dalenogare LS, Ayala NF. Industry 4.0 technologies: implementation patterns in manufacturing companies. International Journal of Production Economics. 2019;210(September 2018):15–26. 10.1016/j.ijpe.2019.01.004 [DOI] [Google Scholar]
- 7. Singh SP, Singh RK, Gunasekaran A, Ghadimi P. Supply Chain Management,Industry 4.0,and the Circular Economy. Resources, Conservation and Recycling. 2019;142:281–282. 10.1016/j.resconrec.2018.11.027 [DOI] [Google Scholar]
- 8. Martin C. Logistics and Supply Chain Management. 4th ed Prentice Hall; 2011. [Google Scholar]
- 9. Byrnes J, Shapiro R. Intercompany Operating Ties: Unlocking the Value in Channel Restructuing; 1992. [Google Scholar]
- 10. Zotteri G. An empirical investigation on causes and effects of the Bullwhip-effect: Evidence from the personal care sector. International Journal of Production Economics. 2013;143(2):489–498. 10.1016/j.ijpe.2012.06.006 [DOI] [Google Scholar]
- 11. Kouvelis P, Chambers C, Wang H. Supply Chain Management Research and Product and Operations Management: Review, Trends, and Opportunities. Production and Operations Management. 2006;15(3):449–469. [Google Scholar]
- 12. Pastore E, Alfieri A, Zotteri G. An empirical investigation on the antecedents of the bullwhip effect: Evidence from the spare parts industry. International Journal of Production Economics. 2017;209(November 2016):1–13. [Google Scholar]
- 13. Forrester JW. Industrial Dynamics—A major breakthrought for decision makers. Harvard Business Review. 1958;36(4):37–66. [Google Scholar]
- 14. Forrester JW. Industrial Dynamics. Science. 1961;135(3502):426–427. [Google Scholar]
- 15. Sterman JD. Modeling Managerial Behavior: Misperceptions of Feedback in a Dynamic Decision Making Experiment. Management Science. 1989;35(3):321–339. 10.1287/mnsc.35.3.321 [DOI] [Google Scholar]
- 16. Lee HL, Padmanabhan V, Whang S. Information Distortion in a Supply Chain: The Bullwhip Effect. Management Science. 1997;43(4):546–558. 10.1287/mnsc.43.4.546 [DOI] [Google Scholar]
- 17. Metters R. Quantifying the bullwhip effect in supply chains. Journal of Operations Management. 1997;15(2):89–100. [Google Scholar]
- 18. Fransoo JC, Wouters MJF. Measuring the bullwhip effect in the supply chain. Supply Chain Management: An International Journal. 2000;5(2):78–89. 10.1108/13598540010319993 [DOI] [Google Scholar]
- 19. Zhang X. The impact of forecasting methods on the bullwhip effect. International Journal of Production Economics. 2004;88(1):15–27. 10.1016/S0925-5273(03)00128-2 [DOI] [Google Scholar]
- 20. Dai J, Peng S, Li S. Mitigation of Bullwhip Effect in Supply Chain Inventory Management Model. Procedia Engineering. 2017;174:1229–1234. 10.1016/j.proeng.2017.01.291 [DOI] [Google Scholar]
- 21. Naim MM, Spiegler VL, Wikner J, Towill DR. Identifying the causes of the bullwhip effect by exploiting control block diagram manipulation with analogical reasoning. European Journal of Operational Research. 2017;263(1):240–246. 10.1016/j.ejor.2017.05.014 [DOI] [Google Scholar]
- 22. Wang X, Disney SM. The bullwhip effect: Progress, trends and directions. European Journal of Operational Research. 2016;250(3):691–701. 10.1016/j.ejor.2015.07.022 [DOI] [Google Scholar]
- 23. Giard V, Sali M. The bullwhip effect in supply chains: A study of contingent and incomplete literature. International Journal of Production Research. 2013;51(13):3880–3893. 10.1080/00207543.2012.754552 [DOI] [Google Scholar]
- 24. Carlsson C, Fullér R. A Fuzzy Approach to Taming the Bullwhip Effect. Cybernetics and Systems. 2000;233:228–233. [Google Scholar]
- 25. Disney SM, Lambrecht MR. On replenishment rules, forecasting, and the bullwhip effect in supply chains. Foundations and Trends in Technology, Information and Operations Management. 2007;2(1):1–80. 10.1561/0200000010 [DOI] [Google Scholar]
- 26. Mentzer JT, DeWitt W, Keebler JS, Min S, Nix NW, Smith CD, et al. Defining supply chain management. Journal of Business Logistics. 2001;22(2):1–25. [Google Scholar]
- 27. Sreedevi R, Saranga H. Uncertainty and supply chain risk: The moderating role of supply chain flexibility in risk mitigation. International Journal of Production Economics. 2017;193(July):332–342. 10.1016/j.ijpe.2017.07.024 [DOI] [Google Scholar]
- 28. Heckmann I, Comes T, Nickel S. A critical review on supply chain risk—Definition, measure and modeling. Omega (United Kingdom). 2015;52:119–132. [Google Scholar]
- 29. Singh H, Garg RK, Sachdeva A. Supply chain collaboration: A state-of-the-art literature review. Uncertain Supply Chain Management. 2018;6:149–180. 10.5267/j.uscm.2017.8.002 [DOI] [Google Scholar]
- 30. De Almeida MMK, Silva Marins FA, Salgado AMP, Almada Santos FC, da Silva SL. Mitigation of the bullwhip effect considering trust and collaboration in supply chain management: a literature review. International Journal of Advanced Manufacturing Technology. 2015;77(1-4):495–513. 10.1007/s00170-014-6444-9 [DOI] [Google Scholar]
- 31. De Almeida MMK, Marins FAS, Salgado AMP, Santos FCA, Da Silva SL. The importance of trust and collaboration between companies to mitigate the bullwhip effect in supply chain management. Acta Scientiarum—Technology. 2017;39(2):201–210. 10.4025/actascitechnol.v39i2.29648 [DOI] [Google Scholar]
- 32. Olson DL, Xie M. A comparison of coordinated supply chain inventory management systems. International Journal of Services and Operations Management. 2010;6(1):73–88. 10.1504/IJSOM.2010.029494 [DOI] [Google Scholar]
- 33. Holmstrom J, Småros J, Disney SM, Towill DR. Collaborative Supply Chain Configurations: The Implications for Supplier Performance in Production and Inventory Control; 2003. [Google Scholar]
- 34. Holweg M, Disney S, Holmström J, Småros J. Supply chain collaboration: Making sense of the strategy continuum. European Management Journal. 2005;23(2):170–181. 10.1016/j.emj.2005.02.008 [DOI] [Google Scholar]
- 35. Tranfield D, Denyer D, Smart P. Towards a Methodology for Developing Evidence Informed Management Knowledge by Means of Systematic Review. British Journal of Management. 2003;14(3):207–222. [Google Scholar]
- 36. Whang S. Coordination in operations: A taxonomy. Journal of Operations Management. 1995;12(3-4):413–422. [Google Scholar]
- 37. VICS. CPFR Technical Specification Roadmap to CPFR: The Case Studies. 1999; p. 79–104. [Google Scholar]
- 38. Stank TP, Keller SB, Daugherty PJ. Supply chain collaboration and logisitcal service performance. Journal of Business Logistics. 2001;22(1):29–48. [Google Scholar]
- 39. Sari K. On the benefits of CPFR and VMI: A comparative simulation study. International Journal of Production Economics. 2008;113(2):575–586. 10.1016/j.ijpe.2007.10.021 [DOI] [Google Scholar]
- 40. Benavides L, De Eskinazis V, Swan D. Six steps to successful supply chain collaboration. CSCMP’s Supply Chain Quarterly. 2012;2012(2):23–27. [Google Scholar]
- 41. Cao M, Zhang Q. Supply chain collaboration: Impact on collaborative advantage and firm performance. Journal of Operations Management. 2011;29(3):163–180. [Google Scholar]
- 42. Wong CY, Beheiry MME, Johansen J, Hvolby HHH. The implications of information sharing on bullwhip effects in a toy supply chain. International Journal of Risk Assessment and Management. 2006;7(1):4–18. 10.1504/IJRAM.2007.011407 [DOI] [Google Scholar]
- 43. Cannella S, Ciancimino E, Framiñan JM. Inventory policies and information sharing in multi-echelon supply chains. Production Planning and Control. 2011;22(7):649–659. 10.1080/09537287.2010.512276 [DOI] [Google Scholar]
- 44. Costantino F, Di Gravio G, Shaban A, Tronci M. Replenishment policy based on information sharing to mitigate the severity of supply chain disruption. International Journal of Logistics Systems and Management. 2014;18(1):3–23. 10.1504/IJLSM.2014.062119 [DOI] [Google Scholar]
- 45. Nguyen T, Zhou L, Spiegler V, Ieromonachou P, Lin Y. Big data analytics in supply chain management: A state-of-the-art literature review. Computers and Operations Research. 2017;0:1–11. [Google Scholar]
- 46. Seuring S. A review of modeling approaches for sustainable supply chain management. Decision Support Systems. 2013;54(4):1513–1520. 10.1016/j.dss.2012.05.053 [DOI] [Google Scholar]
- 47. Govindan K, Soleimani H, Kannan D. Reverse logistics and closed-loop supply chain: A comprehensive review to explore the future. European Journal of Operational Research. 2015;240(3):603–626. 10.1016/j.ejor.2014.07.012 [DOI] [Google Scholar]
- 48.van Eck NJ, Waltman L. VOSviewer Manual. Manual. 2016;-(version 1.6.4):1–28.
- 49. van Eck NJ, Waltman L. Software survey: VOSviewer, a computer program for bibliometric mapping. Scientometrics. 2010;84(2):523–538. 10.1007/s11192-009-0146-3 [DOI] [PMC free article] [PubMed] [Google Scholar]
- 50. van Eck NJ, Waltman L. Visualizing Bibliometric Networks In: Ding Y, Rousseau R, Wolfram D, editors. Measuring Scholarly Impact. Cham: Springer International Publishing; 2014. p. 285–320. Available from: 10.1007/978-3-319-10377-8_13. [DOI] [Google Scholar]
- 51. Disney SM, Towill DR. The effect of vendor managed inventory (VMI) dynamics on the Bullwhip Effect in supply chains. International Journal of Production Economics. 2003;85:199–215. 10.1016/S0925-5273(03)00110-5 [DOI] [Google Scholar]
- 52. Disney SM, Towill DR. Vendor-managed inventory and bullwhip reduction in a two-level supply chain. International Journal of Operations and Production Management. 2003;23(5-6):625–651. 10.1108/01443570310476654 [DOI] [Google Scholar]
- 53. Stonebraker PW, Liao J. Supply chain integration: Exploring product and environmental contingencies. Supply Chain Management. 2006;11(1):34–43. 10.1108/13598540610642457 [DOI] [Google Scholar]
- 54. Dhahri I, Chabchoub H. Nonlinear goal programming models quantifying the bullwhip effect in supply chain based on ARIMA parameters. European Journal of Operational Research. 2007;177(3):1800–1810. 10.1016/j.ejor.2005.10.065 [DOI] [Google Scholar]
- 55. Lee HT, Wu JC. A study on inventory replenishment policies in a two-echelon supply chain system. Computers and Industrial Engineering. 2006;51(2):257–263. 10.1016/j.cie.2006.01.005 [DOI] [Google Scholar]
- 56. Croson R, Donohue K. Upstream versus downstream information and its impact on the bullwhip effect. System Dynamics Review. 2005;21(3):249–260. [Google Scholar]
- 57. Croson R, Donohue K, Katok E, Sterman J. Order stability in supply chains: Coordination risk and the role of coordination stock. Production and Operations Management. 2014;23(2):176–196. [Google Scholar]
- 58. Silver EA, Pyke DF, Peterson R. Inventory and Production Management in Supply Chains. CRC Press; 2017. [Google Scholar]
- 59. Trapero JR, Kourentzes N, Fildes R. Impact of information exchange on supplier forecasting performance. Omega. 2012;40(6):738–747. 10.1016/j.omega.2011.08.009 [DOI] [Google Scholar]
- 60. Cannella S, Ciancimino E. On the bullwhip avoidance phase: Supply chain collaboration and order smoothing. International Journal of Production Research. 2010;48(22):6739–6776. 10.1080/00207540903252308 [DOI] [Google Scholar]
- 61.Moyaux T, Chaib-Draa B, D’Amours S. Multi-agent simulation of collaborative strategies in a supply chain. In: Proceedings of the Third International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS 2004. vol. 1. New York, NY; 2004. p. 52–59.
- 62. Manthou V, Vlachopoulou M, Folinas D. Virtual e-Chain (VeC) model for supply chain collaboration. International Journal of Production Economics. 2004;87(3):241–250. 10.1016/S0925-5273(03)00218-4 [DOI] [Google Scholar]
- 63. Lee HL, Whang S. Information sharing in a supply chain. International Journal of Manufacturing Technology and Management. 2000;1(1):79 10.1504/IJMTM.2000.001329 [DOI] [Google Scholar]
- 64. Raweewan M, Ferrell WG. Information sharing in supply chain collaboration. Computers and Industrial Engineering. 2018;126(September):269–281. 10.1016/j.cie.2018.09.042 [DOI] [Google Scholar]
- 65. Machuca JAD, Barajas RP. The impact of electronic data interchange on reducing bullwhip effect and supply chain inventory costs. Transportation Research Part E: Logistics and Transportation Review. 2004;40(3):209–228. 10.1016/j.tre.2003.08.001 [DOI] [Google Scholar]
- 66. Gunasekaran A, Papadopoulos T, Dubey R, Wamba SF, Childe SJ, Hazen B, et al. Big data and predictive analytics for supply chain and organizational performance. Journal of Business Research. 2017;70:308–317. 10.1016/j.jbusres.2016.08.004 [DOI] [Google Scholar]
- 67. Addo-Tenkorang R, Helo PT. Big data applications in operations/supply-chain management: A literature review. Computers and Industrial Engineering. 2016;101:528–543. 10.1016/j.cie.2016.09.023 [DOI] [Google Scholar]
- 68. Kelepouris T, Miliotis P, Pramatari K. The impact of replenishment parameters and information sharing on the bullwhip effect: A computational study. Computers and Operations Research. 2008;35(11):3657–3670. 10.1016/j.cor.2007.04.004 [DOI] [Google Scholar]
- 69. Chatfield DC, Kim JG, Harrison TP, Hayya JC. The Bullwhip Effect-Impact of Stochastic Lead Time, Information Quality, and Information Sharing: A Simulation Study. Production and Operations Management. 2004;13(4):340–353. [Google Scholar]
- 70. Agrawal S, Sengupta RN, Shanker K. Impact of information sharing and lead time on bullwhip effect and on-hand inventory. European Journal of Operational Research. 2009;192(2):576–593. 10.1016/j.ejor.2007.09.015 [DOI] [Google Scholar]
- 71. Ouyang Y. The effect of information sharing on supply chain stability and the bullwhip effect. European Journal of Operational Research. 2007;182(3):1107–1121. 10.1016/j.ejor.2006.09.037 [DOI] [Google Scholar]
- 72. Sohn SY, Lim M. The effect of forecasting and information sharing in SCM for multi-generation products. European Journal of Operational Research. 2008;186(1):276–287. 10.1016/j.ejor.2007.01.034 [DOI] [Google Scholar]
- 73. Cho DW, Lee YH. The value of information sharing in a supply chain with a seasonal demand process. Computers and Industrial Engineering. 2013;65(1):97–108. 10.1016/j.cie.2011.12.004 [DOI] [Google Scholar]
- 74. Costantino F, Di Gravio G, Shaban A, Tronci M. The impact of information sharing and inventory control coordination on supply chain performances. Computers and Industrial Engineering. 2014;76:292–306. 10.1016/j.cie.2014.08.006 [DOI] [Google Scholar]
- 75. Yu MM, Ting SC, Chen MC. Evaluating the cross-efficiency of information sharing in supply chains. Expert Systems with Applications. 2010;37(4):2891–2897. 10.1016/j.eswa.2009.09.048 [DOI] [Google Scholar]
- 76. Viswanathan S, Widiarta H, Piplani R. Value of information exchange and synchronization in a multi-tier supply chain. International Journal of Production Research. 2007;45(21):5057–5074. 10.1080/00207540600930057 [DOI] [Google Scholar]
- 77. Chen L, Lee HL. Information sharing and order variability control Under a generalized demand model. Management Science. 2009;55(5):781–797. 10.1287/mnsc.1080.0983 [DOI] [Google Scholar]
- 78. Fiala P. Information sharing in supply chains. Omega. 2005;33(5):419–423. 10.1016/j.omega.2004.07.006 [DOI] [Google Scholar]
- 79. Dejonckheere J, Disney SM, Lambrecht MR, Towill DR. Measuring and avoiding the bullwhip effect: A control theoretic approach. European Journal of Operational Research. 2003;147(3):567–590. 10.1016/S0377-2217(02)00369-7 [DOI] [Google Scholar]
- 80. Hussain M, Drake PR. Analysis of the bullwhip effect with order batching in multi-echelon supply chains. International Journal of Physical Distribution and Logistics Management. 2011;41(8):797–814. 10.1108/09600031111166438 [DOI] [Google Scholar]
- 81. Adenso-Díaz B, Moreno P, Gutiérrez E, Lozano S. An analysis of the main factors affecting bullwhip in reverse supply chains. International Journal of Production Economics. 2012;135(2):917–928. 10.1016/j.ijpe.2011.11.007 [DOI] [Google Scholar]
- 82. Nienhaus J, Ziegenbein A, Duijts C. How human behaviour amplifies the bullwhip effect. A study based on the beer distribution game online. Production Planning and Control. 2006;17(6):547–557. 10.1080/09537280600866587 [DOI] [Google Scholar]
- 83. Croson R, Donohue K. Impact of POS data sharing on supply chain management: An experimental study. Production and operations management. 2003;12(1):1–11. [Google Scholar]
- 84. Moyaux T, Chaib-Draa B, D’Amours S. Multi-Agent coordination based on tokens: reduction of the bullwhip effect in a forest supply chain; 2003. [Google Scholar]
- 85. Moyaux T, Chaib-Draa B, D’Amours S. Information sharing as a coordination mechanism for reducing the bullwhip effect in a supply chain. IEEE Transactions on Systems, Man and Cybernetics Part C: Applications and Reviews. 2007;37(3):396–409. 10.1109/TSMCC.2006.887014 [DOI] [Google Scholar]
- 86. Holweg M, Bicheno J. Supply chain simulation—A tool for education, enhancement and endeavour. International Journal of Production Economics. 2002;78(2):163–175. 10.1016/S0925-5273(00)00171-7 [DOI] [Google Scholar]
- 87. Yao Y, Zhu KX. Do Electronic Linkages Reduce the Bullwhip Effect? An Empirical Analysis of the U.S. Manufacturing Supply Chains. Information Systems Research. 2011; p. 1–14. [Google Scholar]
- 88. Mccullen P, Towill D. Achieving lean supply through agile manufacturing. Integrated Manufacturing Systems. 2001;12(6-7):524–533. 10.1108/EUM0000000006232 [DOI] [Google Scholar]
- 89. Kembro J, Selviaridis K. Exploring information sharing in the extended supply chain: An interdependence perspective. Supply Chain Management. 2015;20(4):455–470. 10.1108/SCM-07-2014-0252 [DOI] [Google Scholar]
- 90. Hsiao JM, Shieh CJ. Evaluating the value of information sharing in a supply chain using an ARIMA model. International Journal of Advanced Manufacturing Technology. 2006;27(5-6):604–609. 10.1007/s00170-004-2214-4 [DOI] [Google Scholar]
- 91. Carbonneau R, Laframboise K, Vahidov R. Application of machine learning techniques for supply chain demand forecasting. European Journal of Operational Research. 2008;184(3):1140–1154. 10.1016/j.ejor.2006.12.004 [DOI] [Google Scholar]
- 92. Fildes R, Goodwin P, Lawrence M, Nikolopoulos K. Effective forecasting and judgmental adjustments: an empirical evaluation and strategies for improvement in supply-chain planning. International Journal of Forecasting. 2009;25(1):3–23. 10.1016/j.ijforecast.2008.11.010 [DOI] [Google Scholar]
- 93. Trapero JR, Pedregal DJ, Fildes R, Kourentzes N. Analysis of judgmental adjustments in the presence of promotions. International Journal of Forecasting. 2013;29(2):234–243. 10.1016/j.ijforecast.2012.10.002 [DOI] [Google Scholar]
- 94. Hosoda T, Disney SM. The governing dynamics of supply chains: The impact of altruistic behaviour. Automatica. 2006;42(8):1301–1309. 10.1016/j.automatica.2006.03.013 [DOI] [Google Scholar]
- 95. Ouyang Y, Li X. The bullwhip effect in supply chain networks. European Journal of Operational Research. 2010;201(3):799–810. 10.1016/j.ejor.2009.03.051 [DOI] [Google Scholar]
- 96. Lee S, Kumara S. Decentralized supply chain coordination through auction markets: Dynamic lot-sizing in distribution networks. International Journal of Production Research. 2007;45(20):4715–4733. 10.1080/00207540600844050 [DOI] [Google Scholar]
- 97. Dellaert NP, Jeunet J. Randomized multi-level lot-sizing heuristics for general product structures. European Journal of Operational Research. 2003;148(1):211–228. 10.1016/S0377-2217(02)00403-4 [DOI] [Google Scholar]
- 98. Hieber R, Hartel I. Impacts of SCM order strategies evaluated by simulation-based’Beer Game’ Approach: The model, concept, and initial experiences. Production Planning and Control. 2003;14(2):122–134. 10.1080/0953728031000107680 [DOI] [Google Scholar]
- 99. Chatfield DC, Pritchard AM. Returns and the bullwhip effect. Transportation Research Part E: Logistics and Transportation Review. 2013;49(1):159–175. 10.1016/j.tre.2012.08.004 [DOI] [Google Scholar]
- 100. Thonemann UW. Improving supply-chain performance by sharing advance demand information. European Journal of Operational Research. 2002;142(1):81–107. 10.1016/S0377-2217(01)00281-8 [DOI] [Google Scholar]
- 101. Owuor OJ, Mwangi MW. Effect of ICT on Successful Implementation of Vendor Managed Inventory among Manufacturing Firms in Nakuru County, Kenya. International Journal of Science and Research. 2014;3(5):1508–1513. [Google Scholar]
- 102. Hines P, Lamming R, Jones D, Cousins P, Rich N. Value stream management: strategy and excellence in the supply chain. Financial Times Prentice Hall; 2000. [Google Scholar]
- 103. Sadeghi J, Mousavi SM, Niaki STA, Sadeghi S. Optimizing a multi-vendor multi-retailer vendor managed inventory problem: Two tuned meta-heuristic algorithms. Knowledge-Based Systems. 2013;50:159–170. 10.1016/j.knosys.2013.06.006 [DOI] [Google Scholar]
- 104. Lee HL, Padmanabhan V, Whang S. Comments on “Information distortion in a supply chain: The bullwhip effect” the bullwhip effect: Reflections. Management Science. 2004;50(12 SUPPL.):1887–1893. [Google Scholar]
- 105. Disney SM, Towill DR. A procedure for the optimization of the dynamic response of a Vendor Managed Inventory system. Computers and Industrial Engineering. 2002;43(1-2):27–58. 10.1016/S0360-8352(02)00061-X [DOI] [Google Scholar]
- 106. Disney SM, Naim MM, Potter A. Assessing the impact of e-business on supply chain dynamics. International Journal of Production Economics. 2004;89(2):109–118. 10.1016/S0925-5273(02)00464-4 [DOI] [Google Scholar]
- 107. Xu K, Dong Y, Evers PT. Towards better coordination of the supply chain, Transportation Research Part E. Transportation Research Part E: Logistics and Transportation Review. 2001;37(1):35–54. 10.1016/S1366-5545(00)00010-7 [DOI] [Google Scholar]
- 108. Sadeghi J, Sadeghi S, Niaki STA. Optimizing a hybrid vendor-managed inventory and transportation problem with fuzzy demand: An improved particle swarm optimization algorithm. Information Sciences. 2014;272:126–144. 10.1016/j.ins.2014.02.075 [DOI] [Google Scholar]
- 109. Kristianto Y, Helo P, Jiao J, Sandhu M. Adaptive fuzzy vendor managed inventory control for mitigating the Bullwhip effect in supply chains. European Journal of Operational Research. 2012;216(2):346–355. 10.1016/j.ejor.2011.07.051 [DOI] [Google Scholar]
- 110. Kaipia R, Korhonen H, Hartiala H. Planning nervousness in a demand supply network: An empirical study. The International Journal of Logistics Management. 2006;17(1):95–113. 10.1108/09574090610663455 [DOI] [Google Scholar]
- 111. Lin KP, Chang PT, Hung KC, Pai PF. A simulation of vendor managed inventory dynamics using fuzzy arithmetic operations with genetic algorithms. Expert Systems with Applications. 2010;37(3):2571–2579. 10.1016/j.eswa.2009.08.020 [DOI] [Google Scholar]
- 112. Dong Y, Dresner M, Yao Y. Beyond information sharing: An empirical analysis of vendor-managed inventory. Production and Operations Management. 2014;23(5):817–828. [Google Scholar]
- 113. Chen X, Hao G, Li X, Yiu KFC. The impact of demand variability and transshipment on vendor’s distribution policies under vendor managed inventory strategy. International Journal of Production Economics. 2012;139(1):42–48. 10.1016/j.ijpe.2011.05.005 [DOI] [Google Scholar]
- 114. Holmstrom J. Business process innovation in the supply chain—A case study of implementing vendor managed inventory. European Journal of Purchasing and Supply Management. 1998;4(2-3):127–131. 10.1016/S0969-7012(97)00028-2 [DOI] [Google Scholar]
- 115. Chen MC, Yang T, Li HC. Evaluating the supply chain performance of IT-based inter-enterprise collaboration. Information and Management. 2007;44(6):524–534. 10.1016/j.im.2007.02.005 [DOI] [Google Scholar]
- 116. Janssen F, Doremalen JV, De Kok T, Van Wachem E, Clerkx M, Peeters W. Philips electronics synchronizes its supply chain to end the bullwhip effect. Interfaces. 2005;35(1):37–48. 10.1287/inte.1040.0116 [DOI] [Google Scholar]
- 117. Chang TH, Fu HP, Lee WI, Lin Y, Hsueh HC. A study of an augmented CPFR model for the 3C retail industry. Supply Chain Management. 2007;12(3):200–209. 10.1108/13598540710742518 [DOI] [Google Scholar]
- 118. Disney SM, Lambrecht M, Towill DR, Van de Velde W. The value of coordination in a two-echelon supply chain. IIE Transactions (Institute of Industrial Engineers). 2008;40(3):341–355. [Google Scholar]
- 119. Ciancimino E, Cannella S, Bruccoleri M, Framiñan JM. On the Bullwhip Avoidance Phase: The Synchronised Supply Chain. European Journal of Operational Research. 2012;221(1):49–63. 10.1016/j.ejor.2012.02.039 [DOI] [Google Scholar]
- 120. Ciancimino E, Cannella S. Avoiding demand amplification phenomenon via hi-tech application: A what-if supply chain analysis; 2010. [Google Scholar]
- 121. Bottani E, Montanari R. Supply chain design and cost analysis through simulation. International Journal of Production Research. 2010;48(10):2859–2886. 10.1080/00207540902960299 [DOI] [Google Scholar]
- 122. Bijvank M, Vis IFA. Lost-sales inventory theory: A review. European Journal of Operational Research. 2011;215(1):1–13. 10.1016/j.ejor.2011.02.004 [DOI] [Google Scholar]
- 123. McCarter MW, Northcraft GB. Happy together?: Insights and implications of viewing managed supply chains as a social dilemma. Journal of Operations Management. 2007;25(2):498–511. [Google Scholar]
- 124. Dejonckheere J, Disney SM, Lambrecht MR, Towill DR. The impact of information enrichment on the Bullwhip effect in supply chains: A control engineering perspective. European Journal of Operational Research. 2003;153(1):727–750. [Google Scholar]
- 125. Lee HL, Padmanabhan V, Whang S. Information Distortion in a Supply Chain: The Bullwhip Effect. Management Science. 2004;50(12_supplement):1875–1886. 10.1287/mnsc.1040.0305 [DOI] [Google Scholar]
- 126. Croson R, Donohue K. Behavioral causes of the bullwhip effect and the observed value of inventory information. Management Science. 2006;52(3):323–336. 10.1287/mnsc.1050.0436 [DOI] [Google Scholar]
- 127. Cannella S, Ciancimino E, Marquez AC. Capacity constrained supply chains: A simulation study. International Journal of Simulation and Process Modelling. 2008;4(2):139–147. 10.1504/IJSPM.2008.022075 [DOI] [Google Scholar]
- 128. Zhang X. Evolution of ARMA demand in supply chains. Manufacturing and Service Operations Management. 2004;6(2):195–198. 10.1287/msom.1040.0042 [DOI] [Google Scholar]
- 129. Costantino F, Di Gravio G, Shaban A, Tronci M. The impact of information sharing on ordering policies to improve supply chain performances. Computers and Industrial Engineering. 2015;82:127–142. 10.1016/j.cie.2015.01.024 [DOI] [Google Scholar]
- 130. Ma Y, Wang N, Che A, Huang Y, Xu J. The bullwhip effect under different information-sharing settings: A perspective on price-sensitive demand that incorporates price dynamics. International Journal of Production Research. 2013;51(10):3085–3116. 10.1080/00207543.2012.754551 [DOI] [Google Scholar]
- 131. Barlas Y, Gunduz B. Demand forecasting and sharing strategies to reduce fluctuations and the bullwhip effect in supply chains. Journal of the Operational Research Society. 2011;62(3):458–473. 10.1057/jors.2010.188 [DOI] [Google Scholar]
- 132. Niranjan TT, Wagner SM, Aggarwal V. Measuring information distortion in real-world supply chains. International Journal of Production Research. 2011;49(11):3343–3362. 10.1080/00207541003796814 [DOI] [Google Scholar]
- 133. Paik SK, Bagchi PK. Understanding the causes of the bullwhip effect in a supply chain. International Journal of Retail and Distribution Management. 2007;35(4):308–324. 10.1108/09590550710736229 [DOI] [Google Scholar]
- 134. Sheu JB. A multi-layer demand-responsive logistics control methodology for alleviating the bullwhip effect of supply chains. European Journal of Operational Research. 2005;161(3):797–811. 10.1016/j.ejor.2003.08.051 [DOI] [Google Scholar]
- 135. Li C. Controlling the bullwhip effect in a supply chain system with constrained information flows. Applied Mathematical Modelling. 2013;37(4):1897–1909. 10.1016/j.apm.2012.04.020 [DOI] [Google Scholar]
- 136. Sodhi MS, Tang CS. The incremental bullwhip effect of operational deviations in an arborescent supply chain with requirements planning. European Journal of Operational Research. 2011;215(2):374–382. 10.1016/j.ejor.2011.06.019 [DOI] [Google Scholar]
- 137. Steckel JH, Gupta S, Banerji A. Supply chain decision making: Will shorter cycle times and shared point-of-sale information necessarily help? Management Science. 2004;50(4):458–464. 10.1287/mnsc.1030.0169 [DOI] [Google Scholar]
- 138. Wu DY, Katok E. Learning, communication, and the bullwhip effect. Journal of Operations Management. 2006;24(6):839–850. [Google Scholar]
- 139. Costantino F, Gravio GD, Shaban A, Tronci M. Information sharing policies based on tokens to improve supply chain performances. International Journal of Logistics Systems and Management. 2013;14(2):133 10.1504/IJLSM.2013.051336 [DOI] [Google Scholar]
- 140. Kim JG, Chatfield D, Harrison TP, Hayya JC. Quantifying the bullwhip effect in a supply chain with stochastic lead time. European Journal of Operational Research. 2006;173(2):617–636. 10.1016/j.ejor.2005.01.043 [DOI] [Google Scholar]
- 141. Wang J, Jia J, Takahashi K. A study on the impact of uncertain factors on information distortion in supply chains. Production Planning and Control. 2005;16(1):2–11. 10.1080/09537280412331309235 [DOI] [Google Scholar]
- 142. Hwarng HB, Xie N. Understanding supply chain dynamics: A chaos perspective. European Journal of Operational Research. 2008;184(3):1163–1178. 10.1016/j.ejor.2006.12.014 [DOI] [Google Scholar]
- 143. Cannella S. Order-Up-To policies in Information Exchange supply chains. Applied Mathematical Modelling. 2014;38(23):5553–5561. 10.1016/j.apm.2014.04.029 [DOI] [Google Scholar]
- 144. Dominguez R, Cannella S, Framinan JM, Framiñan JM. On bullwhip-limiting strategies in divergent supply chain networks. Computers and Industrial Engineering. 2014;73(1):85–95. 10.1016/j.cie.2014.04.008 [DOI] [Google Scholar]
- 145. Costantino F, Di Gravio G, Shaban A, Tronci M. Exploring the bullwhip effect and inventory stability in a seasonal supply chain. International Journal of Engineering Business Management. 2013;5(1):1–12. [Google Scholar]
- 146. Warburton RDH. An analytical investigation of the Bullwhip Effect. Production and Operations Management. 2004;13(2):150–160. [Google Scholar]
- 147. Sarkar S, Kumar S. A behavioral experiment on inventory management with supply chain disruption. International Journal of Production Economics. 2015;169:169–178. 10.1016/j.ijpe.2015.07.032 [DOI] [Google Scholar]
- 148. Ge Y, Yang JB, Proudlove N, Spring M. System dynamics modelling for supply-chain management: A case study on a supermarket chain in the UK. International Transactions in Operational Research. 2004;11(5):495–509. [Google Scholar]
- 149. Cannella S, Framinan JM, Bruccoleri M, Barbosa-Póvoa AP, Relvas S. The effect of inventory record inaccuracy in information exchange supply chains. European Journal of Operational Research. 2015;243(1):120–129. 10.1016/j.ejor.2014.11.021 [DOI] [Google Scholar]
- 150. Samuel C, Gonapa K, Chaudhary PK, Mishra A. Supply chain dynamics in healthcare services. International Journal of Health Care Quality Assurance. 2010;23(7):631–642. 10.1108/09526861011071562 [DOI] [PubMed] [Google Scholar]
Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data Availability Statement
All relevant data are within the paper and its Supporting Information files.