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A single‐machine scheduling problem with random processing times

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  • S. Chakravarthy

Abstract

We consider the problem of scheduling n jobs with random processing times on a single machine in order to minimize the expected variance of the completion times. We prove a number of results, including one to the effect that the optimal schedule must be V shaped when the jobs have identical means or variances or have exponential processing times.

Suggested Citation

  • S. Chakravarthy, 1986. "A single‐machine scheduling problem with random processing times," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(3), pages 391-397, August.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:3:p:391-397
    DOI: 10.1002/nav.3800330305
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    Cited by:

    1. V. Rajendra Prasad & D. K. Manna, 1997. "Minimization of expected variance of completion times on single machine for stochastic jobs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 97-108, February.
    2. X. Cai & F. S. Tu, 1996. "Scheduling jobs with random processing times on a single machine subject to stochastic breakdowns to minimize early‐tardy penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(8), pages 1127-1146, December.
    3. X. Cai & S. Zhou, 1997. "Scheduling stochastic jobs with asymmetric earliness and tardiness penalties," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(6), pages 531-557, September.

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