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A Probabilistic Analysis of Two-Machine Flowshops

Author

Listed:
  • Amar Ramudhin

    (Université Laval, Quebec, Canada)

  • John J. Bartholdi

    (Georgia Institute of Technology, Atlanta, Georgia)

  • James M. Calvin

    (Georgia Institute of Technology, Atlanta, Georgia)

  • John H. Vande Vate

    (Georgia Institute of Technology, Atlanta, Georgia)

  • Gideon Weiss

    (Georgia Institute of Technology, Atlanta, Georgia)

Abstract

We study a two-machine flowshop in which all processing times are independently and identically distributed, with values known to the scheduler. We are able to describe in detail the expected behavior of the flowshop under optimal and heuristic schedules. Our results suggest that minimizing makespan might be a superfluous objective: random schedules are easier to construct and require significantly less intermediate storage between the machines; moreover, they are known to be asymptotically optimal.

Suggested Citation

  • Amar Ramudhin & John J. Bartholdi & James M. Calvin & John H. Vande Vate & Gideon Weiss, 1996. "A Probabilistic Analysis of Two-Machine Flowshops," Operations Research, INFORMS, vol. 44(6), pages 899-908, December.
    • Handle: RePEc:inm:oropre:v:44:y:1996:i:6:p:899-908
    DOI: 10.1287/opre.44.6.899
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    Cited by:

    1. D Bai & L Tang, 2010. "New heuristics for flow shop problem to minimize makespan," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(6), pages 1032-1040, June.

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