Table 1 Summary of the literature... | Emerald Publishing

Table 1

Summary of the literature related to relief distribution and network optimizations

Author/year	Research method	Objective(s)	Mathematical modeling	Optimization type	Coordination perspective (inventory management)	Transportation modes	Stakeholder perspective	Solution approach
Zokaee et al. (2016)	Applied	Minimizing total cost, maximizing people's satisfaction level	MILP	Robust	Decentralized	Not considered	Single type supplier	Exact (lingo)
Tavana et al. (2018)	Analytical	Minimizing total cost and time	MILP	Deterministic	Centralized	Not considered	Single type supplier	Epsilon-constraint method and a modified NSGA-II
Ben-tal et al. (2011)	Analytical	Minimizing total travel cost	MILP	Robust	Decentralized	Not considered	Only flow of good in the network	Simulation
Li et al. (2018)	Analytical	Maximizing the total expected appeal coverage	ILP	Stochastic	Decentralized	Not considered	Only distribution centers are considered	Exact scenario generating
Noham and Tzur (2018)	Analytical	Maximizing the ratio of number of units to total response time as an equity criterion	MINLP	Deterministic	Decentralized	Not considered	Single type supplier	Tabu search
Özdamar et al. (2004)	Applied	Minimizing the amount of unsatisfied demand	ILP	Deterministic	Decentralized	Considered	Single type supplier	Exact (gams)-scenario generating
Liu and Jiang (2015)	Applied	Minimizing the total (weighted) unsatisfied demands, the total cost	ILP	Robust	Decentralized	Only helicopters	Only considering temporary facilities	Exact (CPLEX)
Chong et al. (2019)	Applied	Minimizing the number of open warehouses, demand, safety stock fulfillment, and total cost	Goal programming	Deterministic	Centralized	Not considered	Single type supplier	Exact (lingo)
Sheu (2010)	Conceptual	Quickly responding	Dynamic programming	Stochastic	Centralized	Not considered	Single type supplier	Simulation
Zhang et al. (2012)	Applied	Minimizing the total cost of allocating resources to a primary and secondary disaster	MILP	Deterministic	Decentralized	Not considered	Single type supplier	Heuristic
Current research	Analytical	Minimizing total transportation costs, equity cost, and deprivation cost	MINLP	Deterministic	Centralized	Considered	Multiple suppliers	Exact (GAMS)

Author/year	Research method	Objective(s)	Mathematical modeling	Optimization type	Coordination perspective (inventory management)	Transportation modes	Stakeholder perspective	Solution approach
Zokaee et al. (2016)	Applied	Minimizing total cost, maximizing people's satisfaction level	MILP	Robust	Decentralized	Not considered	Single type supplier	Exact (lingo)
Tavana et al. (2018)	Analytical	Minimizing total cost and time	MILP	Deterministic	Centralized	Not considered	Single type supplier	Epsilon-constraint method and a modified NSGA-II
Ben-tal et al. (2011)	Analytical	Minimizing total travel cost	MILP	Robust	Decentralized	Not considered	Only flow of good in the network	Simulation
Li et al. (2018)	Analytical	Maximizing the total expected appeal coverage	ILP	Stochastic	Decentralized	Not considered	Only distribution centers are considered	Exact scenario generating
Noham and Tzur (2018)	Analytical	Maximizing the ratio of number of units to total response time as an equity criterion	MINLP	Deterministic	Decentralized	Not considered	Single type supplier	Tabu search
Özdamar et al. (2004)	Applied	Minimizing the amount of unsatisfied demand	ILP	Deterministic	Decentralized	Considered	Single type supplier	Exact (gams)-scenario generating
Liu and Jiang (2015)	Applied	Minimizing the total (weighted) unsatisfied demands, the total cost	ILP	Robust	Decentralized	Only helicopters	Only considering temporary facilities	Exact (CPLEX)
Chong et al. (2019)	Applied	Minimizing the number of open warehouses, demand, safety stock fulfillment, and total cost	Goal programming	Deterministic	Centralized	Not considered	Single type supplier	Exact (lingo)
Sheu (2010)	Conceptual	Quickly responding	Dynamic programming	Stochastic	Centralized	Not considered	Single type supplier	Simulation
Zhang et al. (2012)	Applied	Minimizing the total cost of allocating resources to a primary and secondary disaster	MILP	Deterministic	Decentralized	Not considered	Single type supplier	Heuristic
Current research	Analytical	Minimizing total transportation costs, equity cost, and deprivation cost	MINLP	Deterministic	Centralized	Considered	Multiple suppliers	Exact (GAMS)