Review Article

Mathematical Models in Humanitarian Supply Chain Management: A Systematic Literature Review

Table 5

Network design and relief distribution models in HSC.

AuthorDisaster phaseUncertain componentModel formulationSolution technique

Sheu et al. [95]Response phase
(resource allocation model)
Fuzziness of demand and supplyInteger programming and fuzzy linear programmingHybrid fuzzy-optimization

Ahmadi et al. [31]Preparation and response phase
(location-routing model)
Road destruction location due to earthquakeMixed-integer nonlinear programmingMetaheuristic
(variable neighborhood search) coded in MATLAB

Yi and Kumar [78]Response phase
(multicommodity network flow model)
Route reliabilityMixed-integer multicommodity network flow modelMetaheuristic
(ant colony optimization)

Vitoriano et al. [96]Response phase
(relief distribution model)
Ransack probability of the linkMixed-integer linear programmingGoal programming

Tzeng et al. [37]Response phase
(relief distribution model)
DemandFuzzy multiobjective programmingFuzzy programming

Chen et al. [42]Response phase
(vehicle routing model)
Mixed-integer nonlinear programmingGIS based simulation

Wang et al. [72]Response phase
(location-routing model)
Route reliability after earthquakeMixed-integer nonlinear programmingComparison of NSGA and NGDA algorithms using MATLAB

Jabbarzadeh et al. [33]Response phase
(aid distribution model)
Blood demandMixed-integer nonlinear programmingRobust optimization

Liberatore et al. [43]Recovery phase
(relief distribution model)
Route reliability and complete distribution without any lossMixed-integer nonlinear programmingRecHADS algorithm

Campbell et al. [32]Response phase
(vehicle routing model)
Mixed-integer programmingHeuristic
(insertion and local search)

Sheu [38]Response phase
(relief distribution model)
Effect of emotional contagion on the attitude of survivorMixed-integer linear programmingStructural equation modelling

Afshar and Haghani [39]Response phase
(integrated supply chain model)
Mixed-integer programmingCPLEX

Huang et al. [79]Response phase
(assessment routing model)
Integer programmingTabu search heuristic coded in C++

Bozorgi-Amiri et al. [36]Preparation and response phase
(relief distribution model)
Demand and location of demandMixed-integer nonlinear programmingRobust stochastic optimization approach, compromise programming

Özdamar and Demir [64]Preparation phase
(vehicle routing model)
Mixed-integer nonlinear programmingHierarchical cluster and route heuristic

Lin et al. [40]Response phase
(vehicle routing model)
Mixed-integer programmingDecomposition and assignment heuristic

Wohlgemuth et al. [34]Response phase
(pickup and delivery model)
DemandMixed-integer linear programmingTabu search heuristic

Vitoriano et al. [41]Response phase
(relief distribution model)
Route reliabilityMixed-integer nonlinear programmingGoal programming

Shen et al. [35]Response phase
(vehicle routing model)
Mixed-integer programmingTabu search heuristic

Chiou and Lai [51]Response phase
(shortest path, traffic assignment, and traffic control model)
Route reliabilityMixed-integer nonlinear programmingFuzzy set theory and genetic algorithm

Berkoune et al. [71]Response phase
(relief distribution model)
Mixed-integer programmingGenetic algorithm
(greedy heuristic, set enumeration heuristic)

Adıvar and Mert [52]Response phase
(international disaster relief distribution model)
Meeting the needs on timeMixed-integer linear programmingFuzzy programming