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Sensitivity Analysis of the Unrelated Parallel Machine Scheduling Problem with Rework Processes and Machine Eligibility Restrictions

Author

Listed:
  • Javad Rezaeian

    (Mazandaran University of Science and Technology)

  • Reza Alizadeh Foroutan

    (Mazandaran University of Science and Technology)

  • Toraj Mojibi

    (Islamic Azad University)

  • Yacob Khojasteh

    (Sophia University)

Abstract

This paper deals with an unrelated parallel machine scheduling problem considering machine eligibility restrictions and release times. Setup times are both operation sequence and machine dependent, and defective items are possible to occur. In order to retrieve imperfect items and to improve them to meet an acceptance level of quality, rework processes are considered. A developed optimization model is used to minimize the makespan. Since the considered system involves several parameters, to understand how changes in parameters may affect the output of the model and to address the types of questions arise from parameter variations, it is necessary to perform sensitivity analysis. It is a hard task to track the effect of all parameters and their interactions. Therefore, this paper focuses on parameters which are recognized the most appropriate to perform sensitivity analysis. Hence, several scenarios and cases including some test problems are designed and the computational results are analyzed.

Suggested Citation

  • Javad Rezaeian & Reza Alizadeh Foroutan & Toraj Mojibi & Yacob Khojasteh, 2023. "Sensitivity Analysis of the Unrelated Parallel Machine Scheduling Problem with Rework Processes and Machine Eligibility Restrictions," SN Operations Research Forum, Springer, vol. 4(3), pages 1-24, September.
    • Handle: RePEc:spr:snopef:v:4:y:2023:i:3:d:10.1007_s43069-023-00233-4
    DOI: 10.1007/s43069-023-00233-4
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    References listed on IDEAS

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    1. Pinar Yunusoglu & Seyda Topaloglu Yildiz, 2022. "Constraint programming approach for multi-resource-constrained unrelated parallel machine scheduling problem with sequence-dependent setup times," International Journal of Production Research, Taylor & Francis Journals, vol. 60(7), pages 2212-2229, April.
    2. Jun Pei & Qingru Song & Baoyu Liao & Xinbao Liu & Panos M. Pardalos, 2021. "Parallel-machine serial-batching scheduling with release times under the effects of position-dependent learning and time-dependent deterioration," Annals of Operations Research, Springer, vol. 298(1), pages 407-444, March.
    3. Jun Pei & Ya Zhou & Ping Yan & Panos M. Pardalos, 2023. "A concise guide to scheduling with learning and deteriorating effects," International Journal of Production Research, Taylor & Francis Journals, vol. 61(6), pages 2010-2031, March.
    4. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    5. Penz, B. & Rapine, C. & Trystram, D., 2001. "Sensitivity analysis of scheduling algorithms," European Journal of Operational Research, Elsevier, vol. 134(3), pages 606-615, November.
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