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Two machine flow shop scheduling problems with sequence dependent setup times: A dynamic programming approach

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  • Burton D. Corwin
  • Augustine O. Esogbue

Abstract

This paper considers the two different flow shop scheduling problems that arise when, in a two machine problem, one machine is characterized by sequence dependent setup times. The objective is to determine a schedule that minimizes makespan. After establishing the optimally of permutation schedules for both of these problems, an efficient dynamic programming formulation is developed for each of them. Each of these formulations is shown to be comparable, from a computational standpoint, to the corresponding formulation of the traveling salesman problem. Then, the relative merits of the dynamic programming and branch and bound approaches to these two scheduling problems are discussed.

Suggested Citation

  • Burton D. Corwin & Augustine O. Esogbue, 1974. "Two machine flow shop scheduling problems with sequence dependent setup times: A dynamic programming approach," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 21(3), pages 515-524, September.
    • Handle: RePEc:wly:navlog:v:21:y:1974:i:3:p:515-524
    DOI: 10.1002/nav.3800210311
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    Cited by:

    1. Gregory H. Graves & Chung‐Yee Lee, 1999. "Scheduling maintenance and semiresumable jobs on a single machine," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(7), pages 845-863, October.
    2. Roger Z. Ríos-Mercado & Jonathan F. Bard, 2003. "The Flow Shop Scheduling Polyhedron with Setup Times," Journal of Combinatorial Optimization, Springer, vol. 7(3), pages 291-318, September.

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