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An Optimization-Based Heuristic for Vehicle Routing and Scheduling with Soft Time Window Constraints

Author

Listed:
  • Yiannis A. Koskosidis

    (The City College of CUNY, New York, New York, 10031)

  • Warren B. Powell

    (Princeton University, Princeton, New Jersey 08544)

  • Marius M. Solomon

    (College of Business Administration, Northeastern University, Boston, Massachusetts 02155)

Abstract

The Vehicle Routing and Scheduling Problem with Time Window constraints is formulated as a mixed integer program, and optimization-based heuristics which extend the cluster-first, route-second algorithm of Fisher and Jaikumar are developed for its solution. We present a new formulation based on the treatment of the time window constraints as soft constraints that can be violated at a cost and we heuristically decompose the problem into an assignment/clustering component and a series of routing and scheduling components. Numerical results based on randomly generated and benchmark problem sets indicate that the algorithm compares favorably to state-of-the-art local insertion and improvement heuristics.

Suggested Citation

  • Yiannis A. Koskosidis & Warren B. Powell & Marius M. Solomon, 1992. "An Optimization-Based Heuristic for Vehicle Routing and Scheduling with Soft Time Window Constraints," Transportation Science, INFORMS, vol. 26(2), pages 69-85, May.
  • Handle: RePEc:inm:ortrsc:v:26:y:1992:i:2:p:69-85
    DOI: 10.1287/trsc.26.2.69
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