Table 5.

An overview of biodiesel supply chain studies

Feedstock	Decision variable	Uncertainty	Objective function	Optimization approach	Year-region	Refs.
Corn	Allocation decisions Capacity of facility Location of facility	–	Minimize total cost	MILP	2011-Brazil	[95]
Microalgae	Allocation decisions Capacity of facilities Technology selection	–	Minimize total cost	MILP	2015-South Korea	[96]
Sawmill waste Agricultural residues Forest residues	Allocation decisions Selection of technology Facility location Technology selection Allocation decisions Amount of production	–	Maximize net present value	MILP	2016-Germany	[97]
Soybean Sunflower Jatropha	Capacity of facilities Location of facilities Allocation decisions Technology selection Amount of production Transportation mode	–	Maximize net present value	MILP	2012-Argentina	[92]
Soybean	Selection of technology Facility location Allocation decisions Capacity of facility Inventory holding	Biodiesel demand Biomass availability	Total profit maximization	MILP	2016-	[102]
Microalgae	Location of facilities Capacity of facilities Allocation decisions	Resources supply Biodiesel demand Technical factors Cost parameters	Minimize total costs	MILP	2016-Iran	[100]
Jatropha, used cooking oil	Transportation mode Production capacity Facility location Capacity of facilities Inventory holding Allocation decisions	Environmental and cost parameters	Minimize environmental impact Minimize total costs	MINLP MODM	2017-Iran	[93]