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An optimal single-machine scheduling with linear deterioration rate and rate-modifying activities

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  • Sheng Yu

    (Zhongnan University of Economics and Law)

Abstract

This paper considers a single-machine scheduling with linear deterioration rate of processing speed and multiple rate-modifying activities simultaneously. A rate-modifying activity can change the processing rate of machine under consideration, which means after each rate-modifying activity the speed of the machine is fully recovered. The integration of these two concept is motivated by human operators and semi-automatic systems that experience performance degradation over time and require rate-modifying activities for recovery. The objective is to minimize the makespan. We need to decide the sequence of jobs and when to schedule the rate-modifying activities. An optimal schedule is proposed, which can solve the problem in $$O(n\log n)$$ O ( n log n ) time where $$n$$ n is the number of jobs.

Suggested Citation

  • Sheng Yu, 2015. "An optimal single-machine scheduling with linear deterioration rate and rate-modifying activities," Journal of Combinatorial Optimization, Springer, vol. 30(2), pages 242-252, August.
    • Handle: RePEc:spr:jcomop:v:30:y:2015:i:2:d:10.1007_s10878-014-9739-8
    DOI: 10.1007/s10878-014-9739-8
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    References listed on IDEAS

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    1. Cheng, T. C. E. & Ding, Q. & Lin, B. M. T., 2004. "A concise survey of scheduling with time-dependent processing times," European Journal of Operational Research, Elsevier, vol. 152(1), pages 1-13, January.
    2. B Alidaee & N K Womer, 1999. "Scheduling with time dependent processing times: Review and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 711-720, July.
    3. Gentzler, GL & Khalil, TM & Sivazlian, BD, 1977. "Quantitative models for optimal rest period scheduling," Omega, Elsevier, vol. 5(2), pages 215-220.
    4. Min Ji & Chou-Jung Hsu & Dar-Li Yang, 2013. "Single-machine scheduling with deteriorating jobs and aging effects under an optional maintenance activity consideration," Journal of Combinatorial Optimization, Springer, vol. 26(3), pages 437-447, October.
    5. Stephen E. Bechtold & Ralph E. Janaro & De Witt L. Sumners, 1984. "Maximization of Labor Productivity Through Optimal Rest-Break Schedules," Management Science, INFORMS, vol. 30(12), pages 1442-1458, December.
    6. 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.
    7. 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.
    8. Lodree Jr., Emmett J. & Geiger, Christopher D., 2010. "A note on the optimal sequence position for a rate-modifying activity under simple linear deterioration," European Journal of Operational Research, Elsevier, vol. 201(2), pages 644-648, March.
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    Cited by:

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    2. Kim, Hyunjoon & Kim, Byung-In, 2022. "Optimal sequence for single server scheduling incorporating a rate-modifying activity under job-dependent linear deterioration," European Journal of Operational Research, Elsevier, vol. 298(2), pages 439-450.
    3. Wang, Ting & Baldacci, Roberto & Lim, Andrew & Hu, Qian, 2018. "A branch-and-price algorithm for scheduling of deteriorating jobs and flexible periodic maintenance on a single machine," European Journal of Operational Research, Elsevier, vol. 271(3), pages 826-838.

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