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Integrated production and job delivery scheduling with an availability constraint

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  • Liu, Peihai
  • Lu, Xiwen

Abstract

In this paper we study the scheduling problem that considers both production and job delivery at the same time with machine availability considerations. There are two parallel machines, where one machine is not available during a time period. Only one vehicle is available to deliver jobs in a fixed transportation time to a distribution center. The vehicle can load at most c jobs as a delivery batch in one shipment due to the vehicle capacity constraint. The objective is to minimize the time by which all jobs are delivered. We consider both resumable and nonresumable cases. For each case, we propose an approximation algorithm with a worst case ratio of 3/2.

Suggested Citation

  • Liu, Peihai & Lu, Xiwen, 2016. "Integrated production and job delivery scheduling with an availability constraint," International Journal of Production Economics, Elsevier, vol. 176(C), pages 1-6.
    • Handle: RePEc:eee:proeco:v:176:y:2016:i:c:p:1-6
    DOI: 10.1016/j.ijpe.2016.03.006
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    References listed on IDEAS

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    1. Wan, Long & Zhang, An, 2014. "Coordinated scheduling on parallel machines with batch delivery," International Journal of Production Economics, Elsevier, vol. 150(C), pages 199-203.
    2. 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.
    3. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
    4. Lingfa Lu & Jinjiang Yuan, 2008. "Single Machine Scheduling With Job Delivery To Minimize Makespan," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(01), pages 1-10.
    5. 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.
    6. Chung-Yee Lee & Lei Lei & Michael Pinedo, 1997. "Current trends in deterministic scheduling," Annals of Operations Research, Springer, vol. 70(0), pages 1-41, April.
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    Cited by:

    1. Shabtay, Dvir, 2022. "Single-machine scheduling with machine unavailability periods and resource dependent processing times," European Journal of Operational Research, Elsevier, vol. 296(2), pages 423-439.
    2. Mohammadi, S. & Al-e-Hashem, S.M.J. Mirzapour & Rekik, Y., 2020. "An integrated production scheduling and delivery route planning with multi-purpose machines: A case study from a furniture manufacturing company," International Journal of Production Economics, Elsevier, vol. 219(C), pages 347-359.
    3. Sun, X.T. & Chung, S.H. & Chan, Felix T.S. & Wang, Zheng, 2018. "The impact of liner shipping unreliability on the production–distribution scheduling of a decentralized manufacturing system," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 114(C), pages 242-269.
    4. S. Mohammadi & S. Al-E-Hashem & Yacine Rekik, 2020. "An integrated production scheduling and delivery route planning with multi-purpose machines: A case study from a furniture manufacturing company," Post-Print hal-02194222, HAL.
    5. Shabtay, Dvir & Zofi, Moshe, 2018. "Single machine scheduling with controllable processing times and an unavailability period to minimize the makespan," International Journal of Production Economics, Elsevier, vol. 198(C), pages 191-200.

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