Abstract
This paper aims to decide on the number of facilities and their locations, procurement for pre and post-disaster, and allocation to mitigate the effects of large-scale emergencies. A two-stage stochastic mixed integer programming model is proposed that combines facility location- prepositioning, decisions on pre-stocking levels for emergency supplies, and allocation of located distribution centers (DCs) to affected locations and distribution of those supplies to several demand locations after large-scale emergencies with uncertainty in demand. Also, the use of the model is demonstrated through a case study for prepositioning of supplies in probable large-scale emergencies in the eastern and southeastern Anatolian sides of Turkey. The results provide a framework for relief organizations to determine the location and number of DCs in different settings, by using the proposed model considering the main parameters, as; capacity of facilities, probability of being affected for each demand points, severity of events, maximum distance between a demand point and distribution center.
Highlights
Large-scale emergency incidents, both natural, such as flood, earthquake, etc., and human made, such as terror attacks, can cause a big increment in demand for food, water, medical supplies or protective materials
We present a literature review of the humanitarian relief logistics management taking into account disaster operations, as the facility location, prepositioning, and allocation problems, using deterministic and stochastic programming models
We aim to preposition distribution centers (DCs) at the eastern and southeastern Anatolian sides of Turkey to response to any large-scale emergency
Summary
Large-scale emergency incidents, both natural, such as flood, earthquake, etc., and human made, such as terror (or bio-terror) attacks, can cause a big increment in demand for food, water, medical supplies or protective materials. A mathematical model is proposed that combines facility location- prepositioning, decisions on pre-stocking levels for emergency supplies, and allocation of located DCs to affected locations and distribution of those supplies to several demand locations after large-scale emergencies; with uncertainty in demand and number of affected locations where high demand requirements occur. The first-stage decisions in the SP model involve the DCs’ locations and allocation of the located DCs to affected regions, as well as the amount of stocking for multiple types of supplies (medical and protective). In the second-stage, recourse decisions are made including the distribution of available stocked and projected to be bought supplies, after large-scale emergencies occur, to reply particular scenario events. The literature on related topics is reviewed as emergency management, facility location and allocation, and prepositioning.
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More From: An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
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