Review Article

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

Table 3

Mass evacuation models in HSC.

AuthorsObjective functionConstraints/decisionProblem type

Sheu and Pan [55]Minimize (travel distance, operational cost, psychological cost)Number of evacuees, number of affected people, evacuee flow in shelter, distance travelled by the evacueeCentralized supply network model

Bish [97]Minimize (total duration of the evacuation)Flow balance at demand nodes, vehicle capacity, shelter capacity, evacuees delivery to shelter, multidepot, multitripBus-based evacuation planning model

Bretschneider and Kimms [68]Minimize (weighted sum of flow during evacuation)Flow conservation, inflow capacity, street capacity, lane consistencyUrban areas evacuation model

Sayyady and Eksioglu [67]Minimize (total evacuation time, number of casualties)Vehicle capacity, flow conservation for citizens, number of vehicles, citizens pickup locationUrban areas evacuation model

Chiu and Zheng [58]Minimize (total prioritized travel time of all mobilization priority groups)Flow conservation at the source cells, maximum service flow rate, shelter capacityCell transmission model for evacuation

Naghawi and Wolshon [57]Maximize (total number of evacuees)Evacuation routes, flowsBus-based evacuation model

Hsu and Peeta [60]Maximize (total number of evacuees)Number of vehicles, resource availabilityStage-based evacuation model

Özdamar and Yi [61]Minimize (total service delay)Demand and supply balance, flow of evacuees, number of injured people served, number of vehicles, vehicle capacityDisaster relief distribution and evacuation model

Yi and Özdamar [65]Minimize (weighted sum of unsatisfied demand, weighted sum of wounded people waiting)Vehicle capacity, type of vehicle, number of vehicles, number of wounded people waiting, number of injured people servedLocation-distribution model

Najafi et al. [63]Minimize (total unserved injured people, unsatisfied demands, vehicles utilized)Transportation of commodities, vehicle type, hospital capacityPostdisaster distribution and evacuation model

Morgul et al. [56]Minimize (cost for the unsatisfied demand, costs for the hired extra board staff)Quality of serviceBus-based evacuation planning model

Kongsomsaksakul et al. [62]Minimize (travel time)Flow conservation, production constraint, flow and demandDistribution and assignment model

Hsu and Peeta [59]Minimize (absolute difference between the desired proportions and the predicted proportions of evacuees taking evacuation routes)Linguistic message, demand conservation, evacuee route choiceBehavior-consistent information based network traffic control model

Özdamar and Demir [64]Minimize (total travel time, efficient vehicle utilization)Material flow balance, unsatisfied demand, inventory level at warehouse, vehicle capacityPostdisaster distribution and evacuation model