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Scheduling with Rejection and a Deteriorating Maintenance Activity on a Single Machine

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  • Shi-Sheng Li

    (Department of Information and Computation Science, Zhongyuan University of Technology, Zhengzhou 450007, P. R. China)

  • Ren-Xia Chen

    (Department of Information and Computation Science, Zhongyuan University of Technology, Zhengzhou 450007, P. R. China)

Abstract

We study single-machine scheduling problems with job rejection and a deteriorating maintenance activity, where the impact of performing this activity is reflected in a reduction of the job processing times. The duration of the maintenance activity is a linear increasing function of its starting time. The aim is to determine the location of the maintenance activity and the job sequence of the accepted jobs so as to minimize scheduling cost of the accepted jobs plus total penalty of the rejected jobs. When the scheduling measures are the makespan, total completion time and combination of earliness, tardiness and due date cost, we provide polynomial time algorithms to solve these problems, respectively. When the scheduling measures are the maximum tardiness and total weighted completion time under the agreeable ratio assumption, we introduce pseudo-polynomial time algorithms to solve these š¯’©š¯’«-hard problems, respectively.

Suggested Citation

  • Shi-Sheng Li & Ren-Xia Chen, 2017. "Scheduling with Rejection and a Deteriorating Maintenance Activity on a Single Machine," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(02), pages 1-17, April.
    • Handle: RePEc:wsi:apjorx:v:34:y:2017:i:02:n:s0217595917500105
    DOI: 10.1142/S0217595917500105
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    References listed on IDEAS

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    2. Wenzhu Liao & Tong Wang, 2018. "Promoting Green and Sustainability: A Multi-Objective Optimization Method for the Job-Shop Scheduling Problem," Sustainability, MDPI, vol. 10(11), pages 1-19, November.

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