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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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    1. Guiyi Wei & Yong Qiu & Min Ji, 2014. "Scheduling With Position-Based Deteriorating Jobs And Multiple Deteriorating Rate-Modifying Activities," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(01), pages 1-12.
    2. Chuanli Zhao & Hengyong Tang, 2014. "Single Machine Scheduling with an Availability Constraint and Rejection," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-15.
    3. J-J Wang & J-B Wang & F Liu, 2011. "Parallel machines scheduling with a deteriorating maintenance activity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1898-1902, October.
    4. 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.
    5. Lee, Chung-Yee & Lin, Chen-Sin, 2001. "Single-machine scheduling with maintenance and repair rate-modifying activities," European Journal of Operational Research, Elsevier, vol. 135(3), pages 493-513, December.
    6. J-J Wang & J-B Wang & F Liu, 2011. "Parallel machines scheduling with a deteriorating maintenance activity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(10), pages 1898-1902, October.
    7. George Steiner & Rui Zhang, 2011. "Revised Delivery-Time Quotation in Scheduling with Tardiness Penalties," Operations Research, INFORMS, vol. 59(6), pages 1504-1511, December.
    8. Ke Chen & Min Ji & Jiaojiao Ge & Guiyi Wei, 2014. "Scheduling Position-Based Deteriorating Jobs With Multiple Rate-Modifying Activities And Past-Sequence-Dependent Delivery Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(03), pages 1-15.
    9. M. A. Kubzin & V. A. Strusevich, 2006. "Planning Machine Maintenance in Two-Machine Shop Scheduling," Operations Research, INFORMS, vol. 54(4), pages 789-800, August.
    10. Lee, C. -Y. & Leon, V. J., 2001. "Machine scheduling with a rate-modifying activity," European Journal of Operational Research, Elsevier, vol. 128(1), pages 119-128, January.
    11. Zhang, Liqi & Lu, Lingfa & Yuan, Jinjiang, 2009. "Single machine scheduling with release dates and rejection," European Journal of Operational Research, Elsevier, vol. 198(3), pages 975-978, November.
    12. Kabir Rustogi & Vitaly A Strusevich, 2015. "Single machine scheduling with time-dependent linear deterioration and rate-modifying maintenance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(3), pages 500-515, March.
    13. Zhong, Xueling & Ou, Jinwen & Wang, Guoqing, 2014. "Order acceptance and scheduling with machine availability constraints," European Journal of Operational Research, Elsevier, vol. 232(3), pages 435-441.
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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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