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Sequencing independent jobs with a single resource

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  • Kenneth R. Baker
  • Henry L. W. Nuttle

Abstract

This paper examines problems of sequencing n jobs for processing by a single resource to minimize a function of job completion times, when the availability of the resource varies over time. A number of well‐known results for single‐machine problems which can be applied with little or no modification to the corresponding variable‐resource problems are given. However, it is shown that the problem of minimizing the weighted sum of completion times provides an exception.

Suggested Citation

  • Kenneth R. Baker & Henry L. W. Nuttle, 1980. "Sequencing independent jobs with a single resource," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(3), pages 499-510, September.
    • Handle: RePEc:wly:navlog:v:27:y:1980:i:3:p:499-510
    DOI: 10.1002/nav.3800270313
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    Cited by:

    1. V. Jorge Leon & S. David Wu, 1992. "On scheduling with ready‐times, due‐dates and vacations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(1), pages 53-65, February.
    2. I. Adiri & O. Hamberg, 1998. "Openshop scheduling under linear resources constraints," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(1), pages 51-66, February.
    3. Bahram Alidaee & Haibo Wang & R. Bryan Kethley & Frank Landram, 2019. "A unified view of parallel machine scheduling with interdependent processing rates," Journal of Scheduling, Springer, vol. 22(5), pages 499-515, October.
    4. Julius Surkis & Ali Dogramaci, 1988. "Minimizing the sum of weighted completion times of n‐independent jobs when resource availability varies over time: Performance of a simple priority rule," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 35-47, February.

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