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Single Machine Scheduling with Learning Effect Considerations

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  • T.C. Cheng
  • Guoqing Wang

Abstract

In this paper we study a single machine scheduling problem in which the job processing times will decrease as a result of learning. A volume-dependent piecewise linear processing time function is used to model the learning effects. The objective is to minimize the maximum lateness. We first show that the problem is NP-hard in the strong sense and then identify two special cases which are polynomially solvable. We also propose two heuristics and analyse their worst-case performance. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • T.C. Cheng & Guoqing Wang, 2000. "Single Machine Scheduling with Learning Effect Considerations," Annals of Operations Research, Springer, vol. 98(1), pages 273-290, December.
  • Handle: RePEc:spr:annopr:v:98:y:2000:i:1:p:273-290:10.1023/a:1019216726076
    DOI: 10.1023/A:1019216726076
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    Keywords

    scheduling; sequencing; learning;
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