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Minimizing Weighted Completion Times with Deadlines

Author

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  • Marc E. Posner

    (New York University, New York, New York)

Abstract

We examine a one-machine scheduling problem whose objective is to minimize the weighted sum of completion times, subject to deadline constraints. We synthesize and extend current known theory, and derive precedence relations between jobs. These relationships, along with tight new bounding criteria, are incorporated in a branch and bound solution procedure.

Suggested Citation

  • Marc E. Posner, 1985. "Minimizing Weighted Completion Times with Deadlines," Operations Research, INFORMS, vol. 33(3), pages 562-574, June.
    • Handle: RePEc:inm:oropre:v:33:y:1985:i:3:p:562-574
    DOI: 10.1287/opre.33.3.562
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    Citations

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    Cited by:

    1. Guner, Ertan & Erol, Serpil & Tani, Kazuo, 1998. "One machine scheduling to minimize the maximum earliness with minimum number of tardy jobs," International Journal of Production Economics, Elsevier, vol. 55(2), pages 213-219, July.
    2. Rubing Chen & Jinjiang Yuan & C.T. Ng & T.C.E. Cheng, 2019. "Single‐machine scheduling with deadlines to minimize the total weighted late work," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(7), pages 582-595, October.
    3. Martin W. P. Savelsbergh & R. N. Uma & Joel Wein, 2005. "An Experimental Study of LP-Based Approximation Algorithms for Scheduling Problems," INFORMS Journal on Computing, INFORMS, vol. 17(1), pages 123-136, February.
    4. Nicholas G. Hall & Marc E. Posner & Chris N. Potts, 2009. "Online Scheduling with Known Arrival Times," Mathematics of Operations Research, INFORMS, vol. 34(1), pages 92-102, February.
    5. Wang, Chengen & Chu, Chengbin & Proth, Jean-Marie, 1996. "Efficient heuristic and optimal approaches for n/2/F/[sigma]Ci scheduling problems," International Journal of Production Economics, Elsevier, vol. 44(3), pages 225-237, July.
    6. Reza H. Ahmadi & Uttarayan Bagchi, 1990. "Lower bounds for single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 967-979, December.
    7. Nicholas G. Hall & Zhixin Liu & Chris N. Potts, 2007. "Rescheduling for Multiple New Orders," INFORMS Journal on Computing, INFORMS, vol. 19(4), pages 633-645, November.
    8. Kerem Bülbül & Halil Şen, 2017. "An exact extended formulation for the unrelated parallel machine total weighted completion time problem," Journal of Scheduling, Springer, vol. 20(4), pages 373-389, August.

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