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Development of Mathematical Model for Locating Distribution Centers and Inventory Management in Crisis Time

Disaster Relief Logistics is one of the main activities in the field of disaster management. In this paper, preparedness and response phases of disaster management cycle has been modeled by using multi-purposed mathematical planning models under uncertainty condition.


By: Ali Haji Bozorgi Amiri
Supervisor: Dr. Mohammad Saeed Jabal Ameli
Advisor: Dr. Mehdi Heydari
University: Elm-o-Sanaat (Science and Industry) University
Level: Ph.D.
Field of Study: Industries


Abstract
Disaster Relief Logistics is one of the main activities in the field of disaster management. In this paper, preparedness and response phases of disaster management cycle has been modeled by using multi-purposed mathematical planning models under uncertainty condition. The applicable approaches include two steps: In the first step (preparation phase), locations for distribution of relief, extent of relief commodity available for saving and appropriate suppliers would be determined. In the next step (response phase), in connection with appropriate suppliers at the time of crisis, decisions would be made on the rate of transportation of relief commodities from supply point to centers for distribution of relief supplies and from this point to the affected areas.
Models presented in this study follow the targets mentioned below:
1. Minimizing total costs prior to the crisis (including operation expenses, acquisition and transportation) and minimizing total costs in the aftermath of the crisis (including acquisition costs, transportation all along the network, maintenance and lack of supplies);
2. Maximizing customer satisfaction (affected areas) through minimizing the highest shortage in affected areas.
3.Maximizing the maximum coverage. Models include the following uncertainty: Uncertainty in the level of demand and locations where demands may occur, in supply and in costs parameters.
Moreover, the possibility of damage to facilities (such as relief distribution centers or supply points) as a result of crisis has been considered in which case it is possible that parts or the entire commodities available would be diminished.
For the solution of the proposed models, methods such as adaptive planning, epsilon constraints and optimization of colony of particles have been developed. To prove the efficiency of the proposed models, numerical examples and case studies of Tehran metropolis have been presented. Results show that the proposed models could be used for making decision on the location of centers for distribution of relief supplies and allocation of resources in critical conditions under uncertainty situation.
Keywords: Logistics of Disaster Relief, preparedness and response phase, saving in advance, multi-purposed optimization, stochastic sustainable planning



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