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On Scheduling Problems with Deferral Costs

Author

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  • Eugene L. Lawler

    (The University of Michigan, Ann Arbor)

Abstract

A class of scheduling problems involving deferral costs has been formulated by McNaughton, who has described a simple method of solution for the linear, single-processor case. In this report dynamic programming and linear programming techniques are applied to nonlinear and multiple-processor problems. A dynamic programming solution of the nonlinear, single processor problem is possible, provided the number of jobs is small. Transportation methods of linear programming can be used to solve large nonlinear, multiple-processor problems, provided the processing times for the jobs are equal. Approximate and/or partial solutions are possible for other cases.

Suggested Citation

  • Eugene L. Lawler, 1964. "On Scheduling Problems with Deferral Costs," Management Science, INFORMS, vol. 11(2), pages 280-288, November.
    • Handle: RePEc:inm:ormnsc:v:11:y:1964:i:2:p:280-288
    DOI: 10.1287/mnsc.11.2.280
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    Cited by:

    1. Chen, Jeng-Fung & Wu, Tai-Hsi, 2006. "Total tardiness minimization on unrelated parallel machine scheduling with auxiliary equipment constraints," Omega, Elsevier, vol. 34(1), pages 81-89, January.
    2. Szmerekovsky, Joseph G., 2007. "Single machine scheduling under market uncertainty," European Journal of Operational Research, Elsevier, vol. 177(1), pages 163-175, February.
    3. Christos Koulamas, 1997. "Decomposition and hybrid simulated annealing heuristics for the parallel‐machine total tardiness problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 109-125, February.
    4. Sen, Tapan & Sulek, Joanne M. & Dileepan, Parthasarati, 2003. "Static scheduling research to minimize weighted and unweighted tardiness: A state-of-the-art survey," International Journal of Production Economics, Elsevier, vol. 83(1), pages 1-12, January.
    5. Biskup, Dirk & Herrmann, Jan & Gupta, Jatinder N.D., 2008. "Scheduling identical parallel machines to minimize total tardiness," International Journal of Production Economics, Elsevier, vol. 115(1), pages 134-142, September.
    6. Yalaoui, Farouk & Chu, Chengbin, 2002. "Parallel machine scheduling to minimize total tardiness," International Journal of Production Economics, Elsevier, vol. 76(3), pages 265-279, April.
    7. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.
    8. Johnny C. Ho & Yih‐Long Chang, 1991. "Heuristics for minimizing mean tardiness for m parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 367-381, June.

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