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Preemptive scheduling of two uniform parallel machines to minimize total tardiness

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  • Lushchakova, Irina N.

Abstract

We consider the problem of preemptive scheduling n jobs on two uniform parallel machines. All jobs have equal processing requirements. For each job we are given its due date. The objective is to find a schedule minimizing total tardiness ∑Ti. We suggest an O(nlogn) algorithm to solve this problem.

Suggested Citation

  • Lushchakova, Irina N., 2012. "Preemptive scheduling of two uniform parallel machines to minimize total tardiness," European Journal of Operational Research, Elsevier, vol. 219(1), pages 27-33.
    • Handle: RePEc:eee:ejores:v:219:y:2012:i:1:p:27-33
    DOI: 10.1016/j.ejor.2011.11.023
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    References listed on IDEAS

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    1. E. L. Lawler & C. U. Martel, 1989. "Preemptive Scheduling of Two Uniform Machines to Minimize the Number of Late Jobs," Operations Research, INFORMS, vol. 37(2), pages 314-318, April.
    2. Pandelis, Dimitrios G., 2007. "Optimal preemptive scheduling on uniform machines with discounted flowtime objectives," European Journal of Operational Research, Elsevier, vol. 177(1), pages 630-637, February.
    3. Lee A. Herrbach & Joseph Y.-T. Leung, 1990. "Preemptive Scheduling of Equal Length Jobs on Two Machines to Minimize Mean Flow Time," Operations Research, INFORMS, vol. 38(3), pages 487-494, June.
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