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Grey-Theory-Based Optimization Model of Emergency Logistics Considering Time Uncertainty

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  • Bao-Jian Qiu
  • Jiang-Hua Zhang
  • Yuan-Tao Qi
  • Yang Liu

Abstract

Natural disasters occur frequently in recent years, causing huge casualties and property losses. Nowadays, people pay more and more attention to the emergency logistics problems. This paper studies the emergency logistics problem with multi-center, multi-commodity, and single-affected-point. Considering that the path near the disaster point may be damaged, the information of the state of the paths is not complete, and the travel time is uncertainty, we establish the nonlinear programming model that objective function is the maximization of time-satisfaction degree. To overcome these drawbacks: the incomplete information and uncertain time, this paper firstly evaluates the multiple roads of transportation network based on grey theory and selects the reliable and optimal path. Then simplify the original model under the scenario that the vehicle only follows the optimal path from the emergency logistics center to the affected point, and use Lingo software to solve it. The numerical experiments are presented to show the feasibility and effectiveness of the proposed method.

Suggested Citation

  • Bao-Jian Qiu & Jiang-Hua Zhang & Yuan-Tao Qi & Yang Liu, 2015. "Grey-Theory-Based Optimization Model of Emergency Logistics Considering Time Uncertainty," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-13, September.
    • Handle: RePEc:plo:pone00:0139132
    DOI: 10.1371/journal.pone.0139132
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    References listed on IDEAS

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    1. Linet Özdamar & Ediz Ekinci & Beste Küçükyazici, 2004. "Emergency Logistics Planning in Natural Disasters," Annals of Operations Research, Springer, vol. 129(1), pages 217-245, July.
    2. G Barbarosoǧlu & Y Arda, 2004. "A two-stage stochastic programming framework for transportation planning in disaster response," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(1), pages 43-53, January.
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