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Weighted flow time bounds for scheduling identical processors

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  • Webster, Scott

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  • Webster, Scott, 1995. "Weighted flow time bounds for scheduling identical processors," European Journal of Operational Research, Elsevier, vol. 80(1), pages 103-111, January.
    • Handle: RePEc:eee:ejores:v:80:y:1995:i:1:p:103-111
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    References listed on IDEAS

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    1. W. L. Eastman & S. Even & I. M. Isaacs, 1964. "Bounds for the Optimal Scheduling of n Jobs on m Processors," Management Science, INFORMS, vol. 11(2), pages 268-279, November.
    2. Webster, S. T., 1993. "A priority rule for minimizing weighted flow time in a class of parallel machine scheduling problems," European Journal of Operational Research, Elsevier, vol. 70(3), pages 327-334, November.
    3. Scott Webster, 1992. "New Bounds for the Identical Parallel Processor Weighted Flow Time Problem," Management Science, INFORMS, vol. 38(1), pages 124-136, January.
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    Cited by:

    1. J. M. van den Akker & J. A. Hoogeveen & S. L. van de Velde, 1999. "Parallel Machine Scheduling by Column Generation," Operations Research, INFORMS, vol. 47(6), pages 862-872, December.
    2. Imed Kacem, 2009. "Approximation algorithms for the makespan minimization with positive tails on a single machine with a fixed non-availability interval," Journal of Combinatorial Optimization, Springer, vol. 17(2), pages 117-133, February.
    3. Zhi-Long Chen & Warren B. Powell, 1999. "Solving Parallel Machine Scheduling Problems by Column Generation," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 78-94, February.
    4. Rabia Nessah & Chengbin Chu, 2010. "Infinite split scheduling: a new lower bound of total weighted completion time on parallel machines with job release dates and unavailability periods," Annals of Operations Research, Springer, vol. 181(1), pages 359-375, December.
    5. Kacem, Imed & Chu, Chengbin, 2008. "Efficient branch-and-bound algorithm for minimizing the weighted sum of completion times on a single machine with one availability constraint," International Journal of Production Economics, Elsevier, vol. 112(1), pages 138-150, March.
    6. Xiangtong Qi, 2005. "A logistics scheduling model: Inventory cost reduction by batching," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(4), pages 312-320, June.
    7. Arthur Kramer & Anand Subramanian, 2019. "A unified heuristic and an annotated bibliography for a large class of earliness–tardiness scheduling problems," Journal of Scheduling, Springer, vol. 22(1), pages 21-57, February.
    8. Dunstall, Simon & Wirth, Andrew, 2005. "A comparison of branch-and-bound algorithms for a family scheduling problem with identical parallel machines," European Journal of Operational Research, Elsevier, vol. 167(2), pages 283-296, December.
    9. Kramer, Arthur & Dell’Amico, Mauro & Iori, Manuel, 2019. "Enhanced arc-flow formulations to minimize weighted completion time on identical parallel machines," European Journal of Operational Research, Elsevier, vol. 275(1), pages 67-79.

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