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An Improved Branch-and-Bound Algorithm for the One-Machine Scheduling Problem with Delayed Precedence Constraints

Author

Listed:
  • Wenda Zhang

    (Department of Industrial and Systems Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801)

  • Jason J. Sauppe

    (Department of Computer Science, University of Wisconsin–La Crosse, La Crosse, Wisconsin 54601)

  • Sheldon H. Jacobson

    (Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801)

Abstract

In this paper, we discuss the one-machine scheduling problem with release and delivery times with the minimum makespan objective. Both heuristics and branch-and-bound algorithms have been formulated for the problem. One such branch-and-bound algorithm solves the problem and a variation that requires a delay between the completion of one job and the start of another (delayed precedence constraints). This paper analyzes key components of this branch-and-bound algorithm and proposes an improved heuristic to be used in conjunction with a different search strategy. Computational experiments demonstrate that the modifications lead to substantial improvements in running time and number of iterations on the one-machine problem instances both with and without delayed precedence constraints.

Suggested Citation

  • Wenda Zhang & Jason J. Sauppe & Sheldon H. Jacobson, 2021. "An Improved Branch-and-Bound Algorithm for the One-Machine Scheduling Problem with Delayed Precedence Constraints," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 1091-1102, July.
    • Handle: RePEc:inm:orijoc:v:33:y:2021:i:3:p:1091-1102
    DOI: 10.1287/ijoc.2020.0988
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    References listed on IDEAS

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