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Application Of Queuing Theory To Dynamic Vehicle Routing Problem

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  • Wei-Ning Chen

Abstract

In this paper, we developed and analyzed a dynamic model of the vehicle routing problem. In the stated model, a vehicle with adequate volume travels at a constant velocity in a bounded plane to provide services to independent and uniformly distributed demands. The dynamic demands arrive according to a Poisson process and on-site service times are generally distributed, independent of their location. A median repositioning policy for the dynamic model is proposed to reduce system time of the First Come First Served policy. The improvement of performance is verified by simulation results.

Suggested Citation

  • Wei-Ning Chen, 2009. "Application Of Queuing Theory To Dynamic Vehicle Routing Problem," Global Journal of Business Research, The Institute for Business and Finance Research, vol. 3(2), pages 85-91.
    • Handle: RePEc:ibf:gjbres:v:3:y:2009:i:2:p:85-91
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    References listed on IDEAS

    as
    1. Bertsimas, Dimitris & Van Ryzin, Garrett., 1991. "A stochastic and dynamic vehicle routing problem in the Euclidean plane," Working papers 3286-91., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    2. Dimitris J. Bertsimas & David Simchi-Levi, 1996. "A New Generation of Vehicle Routing Research: Robust Algorithms, Addressing Uncertainty," Operations Research, INFORMS, vol. 44(2), pages 286-304, April.
    3. Dimitris J. Bertsimas & Garrett van Ryzin, 1991. "A Stochastic and Dynamic Vehicle Routing Problem in the Euclidean Plane," Operations Research, INFORMS, vol. 39(4), pages 601-615, August.
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    More about this item

    Keywords

    Queuing Theory; Dynamic Vehicle Routing Problem;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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