Table 1 Review study of the optimization...

Table 1

Review study of the optimization model for humanitarian logistic in disaster management

Authors	Objective function			Otherobjective	Fs	E	RT	D/S	Multi /singleobjective	Constraint						Mathmodel	Exactapproach	Solution algorithm
Authors	Cost	Time	Evacuation ofdistance	Otherobjective	Fs	E	RT	D/S	Multi /singleobjective	Capacity	Budget	Limitsite	Transportationmode	Items	Demand	Mathmodel	Exactapproach	Solution algorithm
(Caglayan and Satoglu, 2021)		✓				✓	✓	S	Multi	✓		✓			✓	MILP	CPLEX	Augmencon epsilon-constraint
(Jamali et al., 2021)	✓			✓	✓	✓		S	Multi	✓	✓	✓	✓		✓	MILP	GAMS	GP
(Cavdur et al., 2021)	✓				✓			S	Single		✓	✓				MILP	–	Heuristic
(Gan, 2024)	✓	✓				✓		D	Multi	✓	✓	✓			✓	MILP	MATLAB	HFHA
(Ghasemi et al., 2022)	✓		✓		✓	✓	✓	S	Multi		✓				✓	Nonlinear	MATLAB	Metaheuristic/epsilon-constraint
(Haghi et al., 2017)	✓				✓		✓	S	Multi		✓					MILP	ILOG CPLEX	Exact method
(Manopiniwes and Irohara, 2016)	✓	✓			✓	✓	✓	S	Multi	✓	✓	✓	✓			Nonlinear	GUROBI	Exact method
(Meng et al., 2023)	✓	✓				✓	✓	S	Multi	✓	✓		✓		✓	Nonlinear	CPLEX	Heuristic/evolutionary
(Pouraliakbari-Mamaghani et al., 2023)		✓			✓			S	Single	✓					✓	Nonlinear	GUROBI	Heuristic
(Seraji et al., 2021)	✓	✓	✓		✓	✓	✓	D	Multi		✓	✓	✓		✓	MILP	GAM / CPLEX	GA
Wang et al. (2021)	✓				✓			S	Single	✓	✓				✓	MILP	CPLEX	Exact method
(Turkeš et al., 2021)		✓			✓			S	Single	✓	✓	✓			✓	MILP	CPLEX	Metaheuristic/heuristic
(Wang et al., 2022)	✓				✓			S	Single	✓		✓				Nonlinear	CPLEX	PSO
This work	✓	✓	✓		✓	✓		S	Multi	✓	✓	✓	✓	✓	✓	MILP	LINGO	Exact method

Authors	Objective function			Otherobjective	Fs	E	RT	D/S	Multi /singleobjective	Constraint						Mathmodel	Exactapproach	Solution algorithm
Authors	Cost	Time	Evacuation ofdistance	Otherobjective	Fs	E	RT	D/S	Multi /singleobjective	Capacity	Budget	Limitsite	Transportationmode	Items	Demand	Mathmodel	Exactapproach	Solution algorithm
(Caglayan and Satoglu, 2021)		✓				✓	✓	S	Multi	✓		✓			✓	MILP	CPLEX	Augmencon epsilon-constraint
(Jamali et al., 2021)	✓			✓	✓	✓		S	Multi	✓	✓	✓	✓		✓	MILP	GAMS	GP
(Cavdur et al., 2021)	✓				✓			S	Single		✓	✓				MILP	–	Heuristic
(Gan, 2024)	✓	✓				✓		D	Multi	✓	✓	✓			✓	MILP	MATLAB	HFHA
(Ghasemi et al., 2022)	✓		✓		✓	✓	✓	S	Multi		✓				✓	Nonlinear	MATLAB	Metaheuristic/epsilon-constraint
(Haghi et al., 2017)	✓				✓		✓	S	Multi		✓					MILP	ILOG CPLEX	Exact method
(Manopiniwes and Irohara, 2016)	✓	✓			✓	✓	✓	S	Multi	✓	✓	✓	✓			Nonlinear	GUROBI	Exact method
(Meng et al., 2023)	✓	✓				✓	✓	S	Multi	✓	✓		✓		✓	Nonlinear	CPLEX	Heuristic/evolutionary
(Pouraliakbari-Mamaghani et al., 2023)		✓			✓			S	Single	✓					✓	Nonlinear	GUROBI	Heuristic
(Seraji et al., 2021)	✓	✓	✓		✓	✓	✓	D	Multi		✓	✓	✓		✓	MILP	GAM / CPLEX	GA
Wang et al. (2021)	✓				✓			S	Single	✓	✓				✓	MILP	CPLEX	Exact method
(Turkeš et al., 2021)		✓			✓			S	Single	✓	✓	✓			✓	MILP	CPLEX	Metaheuristic/heuristic
(Wang et al., 2022)	✓				✓			S	Single	✓		✓				Nonlinear	CPLEX	PSO
This work	✓	✓	✓		✓	✓		S	Multi	✓	✓	✓	✓	✓	✓	MILP	LINGO	Exact method

Note(s):

Fs = facility & stock location; E = evacuation; RT = relief transportation; D = deterministic problem; S = stochastic problem; LP = linear programming; MILP = mixed integer linear programming; GA = genetic algorithm; GP = goal programming; PSO = particle swarm optimization; HFHA = hybrid frog hopping algorithm

Source(s): Authors’ own work

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