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Scheduling With Position-Based Deteriorating Jobs And Multiple Deteriorating Rate-Modifying Activities

Author

Listed:
  • GUIYI WEI

    (School of Computer Science and Information Engineering, Contemporary Business and Trade Research Center, Zhejiang Gongshang University, Hangzhou 310018, P. R. China)

  • YONG QIU

    (School of Computer Science and Information Engineering, Contemporary Business and Trade Research Center, Zhejiang Gongshang University, Hangzhou 310018, P. R. China)

  • MIN JI

    (School of Computer Science and Information Engineering, Contemporary Business and Trade Research Center, Zhejiang Gongshang University, Hangzhou 310018, P. R. China)

Abstract

In a recent paper, Ozturkoglu and Bulfin (Ozturkoglu, Y. and RL Bulfin (2011). A unique integer mathematical model for scheduling deteriorating jobs with rate-modifying activities on a single machine. The International Journal of Advanced Manufacturing Technology, 57, 753–762.) formulate a unique integer program to solve the single-machine scheduling for the objectives of minimizing makespan and total completion time. They also propose efficient heuristic algorithms for solving large size problems. However their heuristics are not optimal and so the NP-hardness of the considered problem is still open. In this note, we show that a more general problem can be optimally solved in polynomial time. We also provide optimal polynomial-time solution algorithm for the parallel-machine case to minimize total completion time.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:apjorx:v:31:y:2014:i:01:n:s0217595914500092
    DOI: 10.1142/S0217595914500092
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    Citations

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    Cited by:

    1. 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.
    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. Finke, Gerd & Gara-Ali, Ahmed & Espinouse, Marie-Laure & Jost, Vincent & Moncel, Julien, 2017. "Unified matrix approach to solve production-maintenance problems on a single machine," Omega, Elsevier, vol. 66(PA), pages 140-146.
    4. Na Yin & Liying Kang, 2015. "Minimizing Makespan in Permutation Flow Shop Scheduling with Proportional Deterioration," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-12, December.

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