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The Stochastic Vehicle Routing Problem for Minimum Unmet Demand

In: Optimization and Logistics Challenges in the Enterprise

Author

Listed:
  • Zhihong Shen

    (University of Southern California)

  • Fernando Ordòñez

    (University of Southern California)

  • Maged M. Dessouky

    (University of Southern California)

Abstract

Summary In this chapter, we are interested in routing vehicles to minimize unmet demand with uncertain demand and travel time parameters. Such a problem arises in situations with large demand or tight deadlines so that routes that satisfy all demand points are difficult or impossible to obtain. An important application is the distribution of medical supplies to respond to large-scale emergencies, such as natural disasters or terrorist attacks. We present a chance constrained formulation of the problem that is equivalent to a deterministic problem with modified demand and travel time parameters under mild assumptions on the distribution of stochastic parameters and relate it to a robust optimization approach. A tabu heuristic is proposed to solve this MIP and simulations are conducted to evaluate the quality of routes generated from both deterministic and chance constrained formulations. We observe that chance constrained routes can reduce the unmet demand by around 2%-6% for moderately tight deadline and total supply constraints.

Suggested Citation

  • Zhihong Shen & Fernando Ordòñez & Maged M. Dessouky, 2009. "The Stochastic Vehicle Routing Problem for Minimum Unmet Demand," Springer Optimization and Its Applications, in: Wanpracha Chaovalitwongse & Kevin C. Furman & Panos M. Pardalos (ed.), Optimization and Logistics Challenges in the Enterprise, pages 349-371, Springer.
    • Handle: RePEc:spr:spochp:978-0-387-88617-6_13
    DOI: 10.1007/978-0-387-88617-6_13
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    Cited by:

    1. Keyong Lin & S. Nurmaya Musa & Hwa Jen Yap, 2022. "Vehicle Routing Optimization for Pandemic Containment: A Systematic Review on Applications and Solution Approaches," Sustainability, MDPI, vol. 14(4), pages 1-27, February.

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