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Single-machine scheduling problems with past-sequence-dependent delivery times and position-dependent processing times

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  • S-J Yang

    (Nan Kai University of Technology, Tsao Tun, Taiwan)

  • D-L Yang

    (National Formosa University, Yun Lin, Taiwan)

Abstract

This paper considers single-machine scheduling problems with job delivery times where the actual job processing time of a job is defined by a function dependent on its position in a schedule. We assume that the job delivery time is proportional to the job waiting time. We investigate the minimization problems of the sum of earliness, tardiness, and due-window-related cost, the total absolute differences in completion times, and the total absolute differences in waiting times on a single-machine setting. The polynomial time algorithms are proposed to optimally solve the above objective functions. We also investigate some special cases of the problem under study and show that they can be optimally solved by lower order algorithms.

Suggested Citation

  • S-J Yang & D-L Yang, 2012. "Single-machine scheduling problems with past-sequence-dependent delivery times and position-dependent processing times," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(11), pages 1508-1515, November.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:11:p:1508-1515
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    Citations

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    Cited by:

    1. Jin Qian & Yu Zhan, 2021. "The Due Date Assignment Scheduling Problem with Delivery Times and Truncated Sum-of-Processing-Times-Based Learning Effect," Mathematics, MDPI, vol. 9(23), pages 1-14, November.
    2. Ji-Bo Wang & Bo Cui & Ping Ji & Wei-Wei Liu, 2021. "Research on single-machine scheduling with position-dependent weights and past-sequence-dependent delivery times," Journal of Combinatorial Optimization, Springer, vol. 41(2), pages 290-303, February.

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