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Single Machine Scheduling With A Learning Effect And A Rate-Modifying Activity

Author

Listed:
  • CHUANLI ZHAO

    (School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning, 110034, People's Republic of China)

  • HENGYONG TANG

    (School of Mathematics and Systems Science, Shenyang Normal University, Shenyang, Liaoning, 110034, People's Republic of China)

Abstract

In the paper, single machine scheduling problems with a learning effect and a rate-modifying activity are considered. Under the learning effect, the processing time of a job is a decreasing function of its position in the sequence. The rate-modifying activity is an event that can change the speed of the machine, and hence the processing time of jobs after the activity. The following objective functions are considered: the makespan, the total earliness, tardiness and completion time penalty, and the total earliness, tardiness, due-window starting time and due-window size penalty. Polynomial time algorithms are proposed to optimally solve the problems.

Suggested Citation

  • Chuanli Zhao & Hengyong Tang, 2011. "Single Machine Scheduling With A Learning Effect And A Rate-Modifying Activity," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 28(04), pages 511-521.
  • Handle: RePEc:wsi:apjorx:v:28:y:2011:i:04:n:s0217595911003211
    DOI: 10.1142/S0217595911003211
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