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A logistics model for emergency supply of critical items in the aftermath of a disaster

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  • Lin, Yen-Hung
  • Batta, Rajan
  • Rogerson, Peter A.
  • Blatt, Alan
  • Flanigan, Marie

Abstract

This paper proposes a logistics model for delivery of prioritized items in disaster relief operations. It considers multi-items, multi-vehicles, multi-periods, soft time windows, and a split delivery strategy scenario, and is formulated as a multi-objective integer programming model. To effectively solve this model we limit the number of available tours. Two heuristic approaches are introduced for this purpose. The first approach is based on a genetic algorithm, while the second approach is developed by decomposing the original problem. We compare these two approaches via a computational study. The multi-objective problem is converted to a single-objective problem by the weighted sum method. A case study is presented to illustrate the potential applicability of our model. Also, presented is a comparison of our model with that proposed in a recent paper by Balcik et al. [6]. The results show that our proposed model outperforms theirs in terms of delivering prioritized items over several time periods.

Suggested Citation

  • Lin, Yen-Hung & Batta, Rajan & Rogerson, Peter A. & Blatt, Alan & Flanigan, Marie, 2011. "A logistics model for emergency supply of critical items in the aftermath of a disaster," Socio-Economic Planning Sciences, Elsevier, vol. 45(4), pages 132-145, December.
    • Handle: RePEc:eee:soceps:v:45:y:2011:i:4:p:132-145
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    References listed on IDEAS

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    1. Éric Taillard & Philippe Badeau & Michel Gendreau & François Guertin & Jean-Yves Potvin, 1997. "A Tabu Search Heuristic for the Vehicle Routing Problem with Soft Time Windows," Transportation Science, INFORMS, vol. 31(2), pages 170-186, May.
    2. Jin, Mingzhou & Liu, Kai & Bowden, Royce O., 2007. "A two-stage algorithm with valid inequalities for the split delivery vehicle routing problem," International Journal of Production Economics, Elsevier, vol. 105(1), pages 228-242, January.
    3. Robert F. Love & James G. Morris, 1979. "Mathematical Models of Road Travel Distances," Management Science, INFORMS, vol. 25(2), pages 130-139, February.
    4. Mourgaya, M. & Vanderbeck, F., 2007. "Column generation based heuristic for tactical planning in multi-period vehicle routing," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1028-1041, December.
    5. Gilbert Laporte, 2009. "Fifty Years of Vehicle Routing," Transportation Science, INFORMS, vol. 43(4), pages 408-416, November.
    6. C. Archetti & M. G. Speranza & A. Hertz, 2006. "A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 40(1), pages 64-73, February.
    7. Moshe Dror & Pierre Trudeau, 1989. "Savings by Split Delivery Routing," Transportation Science, INFORMS, vol. 23(2), pages 141-145, May.
    8. J. M. Belenguer & M. C. Martinez & E. Mota, 2000. "A Lower Bound for the Split Delivery Vehicle Routing Problem," Operations Research, INFORMS, vol. 48(5), pages 801-810, October.
    9. Ioannou, George & Kritikos, Manolis & Prastacos, Gregory, 2003. "A problem generator-solver heuristic for vehicle routing with soft time windows," Omega, Elsevier, vol. 31(1), pages 41-53, February.
    10. Jotshi, Arun & Gong, Qiang & Batta, Rajan, 2009. "Dispatching and routing of emergency vehicles in disaster mitigation using data fusion," Socio-Economic Planning Sciences, Elsevier, vol. 43(1), pages 1-24, March.
    11. Angelelli, Enrico & Grazia Speranza, Maria, 2002. "The periodic vehicle routing problem with intermediate facilities," European Journal of Operational Research, Elsevier, vol. 137(2), pages 233-247, March.
    12. Archetti, Claudia & Savelsbergh, Martin W.P. & Grazia Speranza, M., 2008. "To split or not to split: That is the question," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(1), pages 114-123, January.
    13. Claudia Archetti & Martin W. P. Savelsbergh & M. Grazia Speranza, 2006. "Worst-Case Analysis for Split Delivery Vehicle Routing Problems," Transportation Science, INFORMS, vol. 40(2), pages 226-234, May.
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