Table. 1.

A survey on relevant references from 2006 to 2021

Reference	Product flow	Decision variables			Sustainability dimensions			Modeling
		L&A	PT	MTS	ECO	ENV	SOC
Altiparmak et al. (2006)	F	√			√
Alshamsi and Diabat (2015)	R	√		√	√	√	√
Sahebjamnia et al. (2018)	F&R	√			√	√	√
Pishvaee et al. (2012)	F	√			√		√	RP
Devika et al. (2014)	F&R	√	√		√	√	√
Jamshidi et al. (2012)	F	√		√	√	√
Nurjanni et al. (2017)	F&R	√		√	√	√
Mardan et al. (2019)	F&R	√			√	√
Chalmardi and Camacho-Vallejo (2019)	F	√			√	√	√
Paksoy et al. (2012)	F&R	√			√	√		FP
Tsao et al. (2018)	F	√	√		√	√	√	FP
Fathollahi-Fard and Hajiaghaei-Keshteli (2018)	F&R	√	√		√	√		SP
Fathollahi-Fard et al. (2018)	F&R	√	√		√		√	SP
Keyvanshokooh et al. (2016)	F&R	√			√	√	√	RSP
Rezaei et al. (2020)	F	√			√	√		RO
Baptista et al. (2019)	F	√			√			SP
Gonela et al. (2019)	F	√			√	√	√	SP
Fathollahi-Fard et al. (2020a)	F&R	√	√		√			SP
Mohammadi et al. (2020)	F&R	√			√	√	√	SP
Mehrotra et al. (2020)	F	√			√			SO
Fathollahi-Fard et al. (2020b)	F&R	√	√		√	√	√	SP
Fathollahi-Fard et al. (2021a)	F	√		√	√
Theophilus et al. (2021)	F	√	√		√
Fallahpour et al. (2021a)	F	√			√	√	√	FP
Pasha et al. (2021)	F	√		√	√	√
Salehi-Amiri et al. (2021)	F&R	√			√	√	√
Zahedi et al. (2021)	F&R	√			√	√	√
Mojtahedi et al. (2021)	R	√	√		√	√	√
This study	F&R	√	√	√	√	√	√	HCC&CF

Note: F, forward; R, reverse; F&R, forward and reverse; L&A, location and allocation; PT, production technology; MTS, multiple transportation system; ECO, economic; ENV, environmental; SOC: social; RO, robust optimization; SP, stochastic programming; RP, robust programming; RSP, robust-stochastic programming; FP, fuzzy programming; SO, simulation and optimization; HCC&CF, hybrid chance constraint and cost function method