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A generalized Johnson's rule for stochastic assembly systems

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  • Rhonda Righter

Abstract

Johnson's rule gives the optimal order to schedule a set of jobs through a two‐machine flow shop with deterministic processing times. We extend Johnson's rule to fork‐join systems with random processing times. Most of the system may be an arbitrary network. We give conditions under which Johnson's rule is optimal in the stochastic sense, in the increasing convex sense, and in expected value. © 1997 John Wiley & Sons, Inc. Naval Research Logistics 44: 211–220, 1997

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  • Rhonda Righter, 1997. "A generalized Johnson's rule for stochastic assembly systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(2), pages 211-220, March.
    • Handle: RePEc:wly:navres:v:44:y:1997:i:2:p:211-220
    DOI: 10.1002/(SICI)1520-6750(199703)44:23.0.CO;2-C
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    References listed on IDEAS

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    1. James R. Jackson, 1956. "An extension of Johnson's results on job IDT scheduling," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 3(3), pages 201-203, September.
    2. Allahverdi, Ali & Mittenthal, John, 1995. "Scheduling on a two-machine flowshop subject to random breakdowns with a makespan objective function," European Journal of Operational Research, Elsevier, vol. 81(2), pages 376-387, March.
    3. S. M. Johnson, 1954. "Optimal two‐ and three‐stage production schedules with setup times included," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 1(1), pages 61-68, March.
    4. Andrew A. Cunningham & Sujit K. Dutta, 1973. "Scheduling jobs, with exponentially distributed processing times, on two machines of a flow shop," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(1), pages 69-81, March.
    5. Michael Pinedo, 1981. "A note on the two machine job shop with exponential processing times," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(4), pages 693-696, December.
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