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A Branch-and-Bound Algorithm for Two-Stage Production-Sequencing Problems

Author

Listed:
  • Ergin Uskup

    (Clow Corporation, Oak Brook, Illinois)

  • Spencer B. Smith

    (Illinois Institute of Technology, Chicago, Illinois)

Abstract

This paper presents an algorithm for determining an optimum solution to a two-stage production sequencing problem with these characteristics: There are n jobs to be sequenced in a two-stage production environment; each production stage is equipped with a single facility; jobs to be sequenced are subject to due-date constraints; facilities in both stages require setup prior to processing each job; setup times in both stages are sequence dependent, and setup cost is assumed to be directly proportional to setup time; and the optimal solution is one that minimizes the total setup cost (of stages I and II) without violating job-due dates. The algorithm employs controlled enumeration through branch-and-bound procedures, together with feasibility tests.

Suggested Citation

  • Ergin Uskup & Spencer B. Smith, 1975. "A Branch-and-Bound Algorithm for Two-Stage Production-Sequencing Problems," Operations Research, INFORMS, vol. 23(1), pages 118-136, February.
  • Handle: RePEc:inm:oropre:v:23:y:1975:i:1:p:118-136
    DOI: 10.1287/opre.23.1.118
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    Cited by:

    1. Ashayeri, J. & van Esch, W.H.L. & Heuts, R.M.J., 1992. "Amendment of Heuts-Selen's lotsizing and sequencing heuristic for single stage process manufacturing systems," Other publications TiSEM 0cf065b7-4836-4cdd-9317-0, Tilburg University, School of Economics and Management.
    2. Liao, C. J. & Yu, W. C., 1996. "Sequencing heuristics for dependent setups in a continuous process industry," Omega, Elsevier, vol. 24(6), pages 649-659, December.
    3. Ashayeri, J. & van Esch, W.H.L. & Heuts, R.M.J., 1992. "Amendment of Heuts-Selen's lotsizing and sequencing heuristic for single stage process manufacturing systems," Research Memorandum FEW 579, Tilburg University, School of Economics and Management.

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