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Two parallel machines problem with job delivery coordination and availability constraint

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  • Jason Pan
  • Chi-Shiang Su

Abstract

Coordination and integration among various members of a supply chain has become one of the vital strategies for the modern manufacturers to gain competitive advantages. This paper studies an NP-hard problem of the two-stage scheduling in which jobs are processed by two parallel machines and delivered to the distribution center with the objective of minimizing the makespan. There exists an unavailable interval on one of the machines due to preventive maintenance and an unfinished job can resume processing after the machine becomes available again. Wang and Cheng (Nav Res Logist 54:11–20, 2007 ) first studied this problem and presented an algorithm H2 with a worst-case ratio of 5/3. This paper proposes a new algorithm which leads to a best possible solution with a worst-case ratio of 3/2. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Jason Pan & Chi-Shiang Su, 2015. "Two parallel machines problem with job delivery coordination and availability constraint," Annals of Operations Research, Springer, vol. 235(1), pages 653-664, December.
    • Handle: RePEc:spr:annopr:v:235:y:2015:i:1:p:653-664:10.1007/s10479-015-1903-8
    DOI: 10.1007/s10479-015-1903-8
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    References listed on IDEAS

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    1. Zhong, Weiya & Dosa, Gyorgy & Tan, Zhiyi, 2007. "On the machine scheduling problem with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1057-1072, November.
    2. Chang, Yung-Chia & Lee, Chung-Yee, 2004. "Machine scheduling with job delivery coordination," European Journal of Operational Research, Elsevier, vol. 158(2), pages 470-487, October.
    3. Li, Chung-Lun & Vairaktarakis, George & Lee, Chung-Yee, 2005. "Machine scheduling with deliveries to multiple customer locations," European Journal of Operational Research, Elsevier, vol. 164(1), pages 39-51, July.
    4. Soukhal, A. & Oulamara, A. & Martineau, P., 2005. "Complexity of flow shop scheduling problems with transportation constraints," European Journal of Operational Research, Elsevier, vol. 161(1), pages 32-41, February.
    5. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    6. Cheng, T. C. Edwin & Gordon, Valery S. & Kovalyov, Mikhail Y., 1996. "Single machine scheduling with batch deliveries," European Journal of Operational Research, Elsevier, vol. 94(2), pages 277-283, October.
    7. Xiuli Wang & T. C. Edwin Cheng, 2007. "Machine scheduling with an availability constraint and job delivery coordination," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(1), pages 11-20, February.
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    Cited by:

    1. Ronghua Meng & Yunqing Rao & Qiang Luo, 2020. "Modeling and solving for bi-objective cutting parallel machine scheduling problem," Annals of Operations Research, Springer, vol. 285(1), pages 223-245, February.

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