Review Article

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

Table 6

Mass evacuation models in HSC.

AuthorDisaster phaseUncertain componentModel formulationSolution technique

Sheu and Pan [55]Response phase
(centralized emergency supply network model)
Mixed-integer linear programmingNumerical case study on LINGO

Bish [97]Preparation phase
(bus-based evacuation model)
Mixed-integer linear programmingHeuristic algorithm

Bretschneider and Kimms [68]Response phase
(evacuation model)
Mixed-integer programmingLP-based heuristic

Sayyady and Eksioglu [67]Response phase
(no-notice urban evacuation model)
Mixed-integer linear programmingSimulation package, Dynasmart-P, Tabu search algorithm

Chiu and Zheng [58]Response phase
(dynamic traffic evacuation model)
Linear programmingAlgorithm

Naghawi and Wolshon [57]Response phase
(citizen-assisted evacuation model)
TRANSIMS agent based simulationGIS and TRANSIMS based simulation

Hsu and Peeta [60]Preparation and response phase
(stage-based
evacuation model)
Mixed-integer nonlinear programmingBranch-and-bound algorithm

Özdamar and Yi [61]Response phase
(evacuation and logistics support model)
Mixed-integer programming(Greedy neighborhood search, Path-Builder heuristic)
Implemented in C++

Yi and Özdamar [65]Response phase
(location-distribution model for logistics support and evacuation operations)
Occurrence of disasterMixed-integer linear programmingRouting algorithm

Najafi et al. [63]Response phase
(integrated HSC model)
Number of injured people, demandMixed-integer linear programmingExact methodology

Kongsomsaksakul et al. [62]Response phase
(location-allocation model for flood evacuation planning)
Mixed-integer nonlinear programming, bilevel programmingGenetic algorithm

Özdamar and Demir [64]Preparation phase
(aid distribution and evacuation model)
Mixed-integer nonlinear programmingMultilevel clustering algorithm

Hsu and Peeta [59]Response phase
(information based control evacuation model)
DemandMixed-integer nonlinear programmingFuzzy programming