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Solving a Truck Dispatching Scheduling Problem Using Branch-and-Cut

Author

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  • Robert E. Bixby

    (Rice University, Houston, Texas)

  • Eva K. Lee

    (Georgia Institute of Technology, Atlanta, Georgia)

Abstract

A branch-and-cut IP solver is developed for a class of structured 0/1 integer programs arising from a truck dispatching scheduling problem. This problem involves a special class of knapsack equality constraints. Families of facets for the polytopes associated with individual knapsack constraints are identified. In addition, a notion of “conflict graph” is utilized to obtain an approximating node-packing polytope for the convex hull of all 0/1 solutions. The branch-and-cut solver generates cuts based on both the knapsack equality constraints and the approximating node-packing polytope, and incorporates these cuts into a tree-search algorithm that uses problem reformulation and linear programming-based heuristics at each node in the search tree to assist in the solution process. Numerical experiments are performed on large-scale real instances supplied by Texaco Trading & Transportation, Inc. The optimal schedules correspond to cost savings for the company and greater job satisfaction for drivers due to more balanced work schedules and income distribution.

Suggested Citation

  • Robert E. Bixby & Eva K. Lee, 1998. "Solving a Truck Dispatching Scheduling Problem Using Branch-and-Cut," Operations Research, INFORMS, vol. 46(3), pages 355-367, June.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:3:p:355-367
    DOI: 10.1287/opre.46.3.355
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    References listed on IDEAS

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    Cited by:

    1. Escudero, L. F. & Munoz, S., 2003. "On identifying dominant cliques," European Journal of Operational Research, Elsevier, vol. 149(1), pages 65-76, August.

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