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Due date assignment and convex resource allocation scheduling with variable job processing times

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  • Lin-Hui Sun
  • Kai Cui
  • Ju-hong Chen
  • Jun Wang

Abstract

This is a study of a earliness and tardiness sequencing and scheduling problem on a single machine. The processing time for job depends on its position in a sequence, its starting time, and its allocation of non-renewable resource. For three due date assignment methods i.e. the common due date, the slack due date and the unrestricted due date our goal is to find the optimal schedule, due dates, and resource allocations of jobs. We prove that three versions of the problem can be solved in polynomial time, respectively.

Suggested Citation

  • Lin-Hui Sun & Kai Cui & Ju-hong Chen & Jun Wang, 2016. "Due date assignment and convex resource allocation scheduling with variable job processing times," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3551-3560, June.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:12:p:3551-3560
    DOI: 10.1080/00207543.2015.1083628
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    References listed on IDEAS

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    1. S. S. Panwalkar & M. L. Smith & A. Seidmann, 1982. "Common Due Date Assignment to Minimize Total Penalty for the One Machine Scheduling Problem," Operations Research, INFORMS, vol. 30(2), pages 391-399, April.
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    3. Ji-Bo Wang & Ming-Zheng Wang, 2014. "Single-Machine Due-Window Assignment and Scheduling with Learning Effect and Resource-Dependent Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-15.
    4. D Oron, 2014. "Scheduling controllable processing time jobs in a deteriorating environment," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(1), pages 49-56, January.
    5. Xin-Jun Li & Jian-Jun Wang & Xue-Ru Wang, 2015. "Single-Machine Scheduling with Learning Effect, Deteriorating Jobs and Convex Resource Dependent Processing Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(05), pages 1-12.
    6. Wu, Yu-Bin & Wan, Long & Wang, Xiao-Yuan, 2015. "Study on due-window assignment scheduling based on common flow allowance," International Journal of Production Economics, Elsevier, vol. 165(C), pages 155-157.
    7. Biskup, Dirk, 2008. "A state-of-the-art review on scheduling with learning effects," European Journal of Operational Research, Elsevier, vol. 188(2), pages 315-329, July.
    8. Yunqiang Yin & Shuenn-Ren Cheng & Chin-Chia Wu, 2014. "Parallel-Machine Scheduling to Minimize Flowtime, Holding, and Batch Delivery Costs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(06), pages 1-17.
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    Cited by:

    1. Baruch Mor, 2022. "Minmax common flow-allowance problems with convex resource allocation and position-dependent workloads," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 79-97, January.
    2. 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.
    3. Zhenyou Wang & Cai-Min Wei & Yu-Bin Wu, 2016. "Single Machine Two-Agent Scheduling with Deteriorating Jobs," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(05), pages 1-17, October.

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