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A Column Generation Approach to the Capacitated Vehicle Routing Problem with Stochastic Demands

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Abstract

In this article we introduce a new exact solution approach to the Capacitated Vehicle Routing Problem with Stochastic Demands (CVRPSD). In particular, we consider the case where all customer demands are distributed independently and where each customer’s demand follows a Poisson distribution. The CVRPSD can be formulated as a Set Partitioning Problem. We show that, under the above assumptions on demands, the associated column generation subproblem can be solved using a dynamic programming scheme which is similar to that used in the case of deterministic demands. To evaluate the potential of our approach we have embedded this column generation scheme in a branch-and-price algorithm. Computational experiments on a large set of test instances show promising results

Suggested Citation

  • Christiansen, Christian H. & Lysgaard, Jens, 2006. "A Column Generation Approach to the Capacitated Vehicle Routing Problem with Stochastic Demands," CORAL Working Papers L-2006-04, University of Aarhus, Aarhus School of Business, Department of Business Studies.
  • Handle: RePEc:hhb:aarbls:2006-004
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    1. Melchiors, Philip, 2003. "Restricted time-remembering policies for the inventory rationing problem," International Journal of Production Economics, Elsevier, vol. 81(1), pages 461-468, January.
    2. repec:pal:jorsoc:v:51:y:2000:i:1:d:10.1057_palgrave.jors.2600844 is not listed on IDEAS
    3. P Melchiors & R Dekker & M J Kleijn, 2000. "Inventory rationing in an (s, Q) inventory model with lost sales and two demand classes," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(1), pages 111-122, January.
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