Optimization Modeling Of Humanitarian Emergency Relief Material Supply And Medical Rescue For The Casualty

The sudden and frequent natural disasters have brought a series of damages to both the economy and society of all countries in the world and made people to suffer a double loss of life and property,showing a trend of increasing number year by year,increasing intensity and expanding impact range of disasters.There is growing concern about humanitarian aid.Based on the current research achievements in the field,this paper deeply explored the key problems produced in the supply of humanitarian emergency relief materials and medical assistance to the casualty by adopting literature research,optimization theory and experimental analysis.This paper selects two important links in the chain of disaster emergency response activities,such as the deployment of post-disaster emergency materials and the distribution of emergency evacuation and medical services during and after the disaster,and carries out research respectively.In view of the problem of optimal allocation and supply of emergency materials under the background of epidemic prevention and control in China,this paper combined with the characteristics of district management of communities in China to explore the optimal allocation strategy of emergency material supply for residents during the epidemic period from the perspective of overall optimization.It’s a service chain from emergency material supply center and community temporary distribution center to residents.The modeling framework integrated multiple key decisions,such as the locations of critical service facilities,service allocation relationships between different levels,emergency resource reserves and terminal allocation strategies.Especially,it targeted at the characteristics of residential district management and established a mixed integer nonlinear program to deliver the residents’ grouping decisions.The system achieved the optimal deployment and allocation with the objective of minimizing the total economic and social costs.Secondly,aiming at minimizing the total social cost,this paper directly integrates the psychological cost function into the modeling framework and constructs a mixed integer multi-mode multi-stage dynamic evacuation optimization model to describe the humanitarian evacuation of the casualty after the disaster.The optimization results give the decision results,such as the location of pick-up node and temporary medical facility,the distribution of rescue vehicles,the number of evacuees at each moment,the number of remaining beds and the number of casualties not evacuated at each moment,so as to realize the efficient and rapid evacuation and rescue of the casualty.In addition,the impact of medical assistance to the casualty on the evacuation process was considered comprehensively.The temporary medical facilities were divided into medical tents and designated medical centers according to their different functions.The location of the designated medical centers and the dynamic movement of medical tents,the distribution of medical services among the facilities were studied.In this process,the focus is on the size of the psychological cost of the casualty,including the psychological cost of the casualty waiting for rescue in the disaster area,the psychological cost of the casualty waiting in the medical rescue tent and the psychological cost in the rescue process,in order to minimize the total social cost of the system and better ensure the personal interests of the casualty.The proposed model was programmed in GAMS and solved by KNITRO and CPLEX solvers.A series of sensitivity analyses were carried out to test the influence of some key parameters on the final optimal decisions.