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Ready-Time Scheduling with Stochastic Service Times

Author

Listed:
  • Thom J. Hodgson

    (North Carolina State University, Raleigh, North Carolina)

  • Russell E. King

    (North Carolina State University, Raleigh, North Carolina)

  • Paul M. Stanfield

    (North Carolina State University, Raleigh, North Carolina)

Abstract

A frequently encountered scheduling problem is to determine simultaneously a material and job ready time and production sequence based on customer-specified due dates. Each job has a stochastic production time and a deterministic due date. The ready time is constrained in that the probability that each job will be complete by its due date must meet some minimum level of confidence. The objective in such an instance is to postpone the ready time as late as possible without violating these constraints. The steps and effort necessary to determine the maximum ready time and optimal production sequence, and cases in which this effort may be significantly reduced are presented. The resulting model is applied directly to single-facility and flow-shop production environments. Methods are shown for scheduling in a dynamic environment.

Suggested Citation

  • Thom J. Hodgson & Russell E. King & Paul M. Stanfield, 1997. "Ready-Time Scheduling with Stochastic Service Times," Operations Research, INFORMS, vol. 45(5), pages 779-783, October.
    • Handle: RePEc:inm:oropre:v:45:y:1997:i:5:p:779-783
    DOI: 10.1287/opre.45.5.779
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    Cited by:

    1. Marlin W. Ulmer & Barrett W. Thomas, 2019. "Enough Waiting for the Cable Guy—Estimating Arrival Times for Service Vehicle Routing," Transportation Science, INFORMS, vol. 53(3), pages 897-916, May.
    2. Song, Dong-Ping, 2006. "Raw material release time control for complex make-to-order products with stochastic processing times," International Journal of Production Economics, Elsevier, vol. 103(1), pages 371-385, September.
    3. Yenisey, Mehmet Mutlu & Yagmahan, Betul, 2014. "Multi-objective permutation flow shop scheduling problem: Literature review, classification and current trends," Omega, Elsevier, vol. 45(C), pages 119-135.
    4. Elmaghraby, S. E. & Ferreira, A. A. & Tavares, L. V., 2000. "Optimal start times under stochastic activity durations," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 153-164, March.
    5. Elmaghraby, Salah E., 2001. "On the optimal release time of jobs with random processing times, with extensions to other criteria," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 103-113, December.

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