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A Two-Stage Scenario-Based Stochastic Programming Approach To Pre-Positioning Emergency Supplies

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초록

A two-stage stochastic programming model with recourse for pre-positioning hurricane supples is presented in this paper. Companies face the difficult decision of where to strategically preposition emergency supplies in preparation for a variety of possible disasters. Uncertainty caused by factors, such as the path of a hurricane, is a major influence on demand for emergency supplies. The first stage of the model relates to finding th optimal allocation of supplies from one warehouse to a variety of geographically dispersed locations that will potentially be affected by an observed storm. The second stage (or recourse) problem is concerned with deriving the re-allocation of supplies among the locations once demands have been realized after the storm has passed. The result of the study provides a means for determining what inventory levels should be stocked at each location, and how re-distribution strategies should be carried out. Also, the result of the study indicates that the expected cost of the pre-positioning strategy is lower that the expected costs without a pre-positioning strategy.

Abstract

A two-stage stochastic programming model with recourse for pre-positioning hurricane supples is presented in this paper. Companies face the difficult decision of where to strategically preposition emergency supplies in preparation for a variety of possible disasters. Uncertainty caused by factors, such as the path of a hurricane, is a major influence on demand for emergency supplies. The first stage of the model relates to finding th optimal allocation of supplies from one warehouse to a variety of geographically dispersed locations that will potentially be affected by an observed storm. The second stage (or recourse) problem is concerned with deriving the re-allocation of supplies among the locations once demands have been realized after the storm has passed. The result of the study provides a means for determining what inventory levels should be stocked at each location, and how re-distribution strategies should be carried out. Also, the result of the study indicates that the expected cost of the pre-positioning strategy is lower that the expected costs without a pre-positioning strategy.

참고문헌 (10)

  1. Leonard, D., "The only Lifeline Was the Wal-Mart", Fortune, 152(7), pp.74~80 (2005)
  2. Beamon, B., "Inventory modeling for complex emergencies in humanitarian reliefoperations", International Journal of Logistics: Research and Applications, 9(1), pp.1~18 (2006)
  3. Beamon, B., "Inventory management support systems for emergency humanitarian reliefoperations in South Sudan", The International Journal of Logistics Management, 17(2), pp.187~212 (2006)
  4. Birge, J., "Introduction to Stochastic Programming", Springer,Inc (1997)
  5. Belgasmi, B, "Evolutionary Multiobjective Optimization Of TheMulti-Location Transhipment Problem", Operational Research, 4(1,), pp.5~8 (2004)
  6. Rawls, C., "Pre-positioning of Emergency Supplies for Disaster Response", IEEE 2006 International symposium on Technology and Society (2006)
  7. Tagaras, G., "Effects of Pooling on the Optimization and Service Levels of Two-Location Inventory Systems", IIET ransactions, 21(3), pp.250~257 (1989)

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