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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
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    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Socio-Economic Planning Sciences.

    Volume (Year): 45 (2011)
    Issue (Month): 4 (December)
    Pages: 132-145

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    Handle: RePEc:eee:soceps:v:45:y:2011:i:4:p:132-145

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    Keywords: Vehicle routing problem Humanitarian logistics Prioritizing delivery Disaster relief;


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    1. 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.
    2. 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.
    3. 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.
    4. Robert F. Love & James G. Morris, 1979. "Mathematical Models of Road Travel Distances," Management Science, INFORMS, vol. 25(2), pages 130-139, February.
    5. 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.
    6. 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.
    7. 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.
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    Cited by:
    1. Wilson, Duncan T. & Hawe, Glenn I. & Coates, Graham & Crouch, Roger S., 2013. "A multi-objective combinatorial model of casualty processing in major incident response," European Journal of Operational Research, Elsevier, vol. 230(3), pages 643-655.
    2. de la Torre, Luis E. & Dolinskaya, Irina S. & Smilowitz, Karen R., 2012. "Disaster relief routing: Integrating research and practice," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 88-97.
    3. Najafi, Mehdi & Eshghi, Kourosh & Dullaert, Wout, 2013. "A multi-objective robust optimization model for logistics planning in the earthquake response phase," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 49(1), pages 217-249.
    4. Galindo, Gina & Batta, Rajan, 2013. "Prepositioning of supplies in preparation for a hurricane under potential destruction of prepositioned supplies," Socio-Economic Planning Sciences, Elsevier, vol. 47(1), pages 20-37.
    5. Lin, Yen-Hung & Batta, Rajan & Rogerson, Peter A. & Blatt, Alan & Flanigan, Marie, 2012. "Location of temporary depots to facilitate relief operations after an earthquake," Socio-Economic Planning Sciences, Elsevier, vol. 46(2), pages 112-123.
    6. Özdamar, Linet & Demir, Onur, 2012. "A hierarchical clustering and routing procedure for large scale disaster relief logistics planning," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 591-602.
    7. Dillenburger, Steven P. & Cochran, Jeffery K. & Cammarano, Vincent R., 2013. "Minimizing supply airdrop collateral damage risk," Socio-Economic Planning Sciences, Elsevier, vol. 47(1), pages 9-19.


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