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Stochastic Flow Shops

In: Flow Shop Scheduling

Author

Listed:
  • Hamilton Emmons

    (Case Western Reserve University)

  • George Vairaktarakis

    (Case Western Reserve University)

Abstract

When job parameters are uncertain or unpredictable, new types of policies become possible. Besides static policies, we now should consider dynamic policies, with or without preemption. Objectives too have more variety. The makespan, for example, is now random; we usually choose to minimize its expectation. We present new conditions under which permutation schedule are optimal for two or three machines. If these do not hold, then to minimize expected makespan on two machines: A simple optimum exists when task times are exponential; for arbitrary distributions, Johnson’s Rule is asymptotically optimal; three simple heuristics have been tested using log normal distributions, and give good results in combination. For more than two machines, we report the very limited results that have been published.

Suggested Citation

  • Hamilton Emmons & George Vairaktarakis, 2013. "Stochastic Flow Shops," International Series in Operations Research & Management Science, in: Flow Shop Scheduling, edition 127, chapter 0, pages 303-317, Springer.
    • Handle: RePEc:spr:isochp:978-1-4614-5152-5_11
    DOI: 10.1007/978-1-4614-5152-5_11
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