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Complexity results for an integrated single machine scheduling and outbound delivery problem with fixed sequence

Author

Listed:
  • Azeddine Cheref

    (Université de Tours, CNRS, LI EA 6300, ERL CNRS 6305
    CNRS, LAAS-CNRS, Université de Toulouse)

  • Alessandro Agnetis

    (Universitá degli Studi di Siena)

  • Christian Artigues

    (CNRS, LAAS-CNRS, Université de Toulouse)

  • Jean-Charles Billaut

    (Université de Tours, CNRS, LI EA 6300, ERL CNRS 6305)

Abstract

In this paper, we consider an integrated production and outbound delivery scheduling problem. In particular, we address the situation in which the scheduling sequence and the delivery sequence are the same and predefined. A set of jobs are processed on a single machine, and finished jobs are delivered to the customers by a single capacitated vehicle. Each job has a processing time, and transportation times between customers are taken into account. Because the sequence is given, the problem consists in forming batches of jobs and our objective is to minimize the sum of the delivery times or general functions of the delivery times. The NP-hardness of the general problem is established, and a pseudopolynomial time dynamic programming algorithm is given. Some particular cases are treated, for which NP-hardness proofs and polynomial time algorithms are given. Finally, a fixed-parameter tractability result is given.

Suggested Citation

  • Azeddine Cheref & Alessandro Agnetis & Christian Artigues & Jean-Charles Billaut, 2017. "Complexity results for an integrated single machine scheduling and outbound delivery problem with fixed sequence," Journal of Scheduling, Springer, vol. 20(6), pages 681-693, December.
    • Handle: RePEc:spr:jsched:v:20:y:2017:i:6:d:10.1007_s10951-017-0540-2
    DOI: 10.1007/s10951-017-0540-2
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    References listed on IDEAS

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    1. Agnetis, Alessandro & Aloulou, Mohamed Ali & Fu, Liang-Liang, 2014. "Coordination of production and interstage batch delivery with outsourced distribution," European Journal of Operational Research, Elsevier, vol. 238(1), pages 130-142.
    2. Zhi-Long Chen & George L. Vairaktarakis, 2005. "Integrated Scheduling of Production and Distribution Operations," Management Science, INFORMS, vol. 51(4), pages 614-628, April.
    3. Gao, Su & Qi, Lian & Lei, Lei, 2015. "Integrated batch production and distribution scheduling with limited vehicle capacity," International Journal of Production Economics, Elsevier, vol. 160(C), pages 13-25.
    4. Nicholas G. Hall & 'Maseka Lesaoana & Chris N. Potts, 2001. "Scheduling with Fixed Delivery Dates," Operations Research, INFORMS, vol. 49(1), pages 134-144, February.
    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. Ronald Armstrong & Su Gao & Lei Lei, 2008. "A zero-inventory production and distribution problem with a fixed customer sequence," Annals of Operations Research, Springer, vol. 159(1), pages 395-414, March.
    7. 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.
    8. Christian Viergutz & Sigrid Knust, 2014. "Integrated production and distribution scheduling with lifespan constraints," Annals of Operations Research, Springer, vol. 213(1), pages 293-318, February.
    9. Chen, Bo & Lee, Chung-Yee, 2008. "Logistics scheduling with batching and transportation," European Journal of Operational Research, Elsevier, vol. 189(3), pages 871-876, September.
    10. Kathryn E. Stecke & Xuying Zhao, 2007. "Production and Transportation Integration for a Make-to-Order Manufacturing Company with a Commit-to-Delivery Business Mode," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 206-224, September.
    11. Zhi-Long Chen & Guruprasad Pundoor, 2006. "Order Assignment and Scheduling in a Supply Chain," Operations Research, INFORMS, vol. 54(3), pages 555-572, June.
    12. Wang, Xiuli & Cheng, T.C.E., 2009. "Production scheduling with supply and delivery considerations to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 194(3), pages 743-752, May.
    13. Michael R. Garey & Robert E. Tarjan & Gordon T. Wilfong, 1988. "One-Processor Scheduling with Symmetric Earliness and Tardiness Penalties," Mathematics of Operations Research, INFORMS, vol. 13(2), pages 330-348, May.
    14. Zhi-Long Chen, 2010. "Integrated Production and Outbound Distribution Scheduling: Review and Extensions," Operations Research, INFORMS, vol. 58(1), pages 130-148, February.
    15. Tsirimpas, P. & Tatarakis, A. & Minis, I. & Kyriakidis, E.G., 2008. "Single vehicle routing with a predefined customer sequence and multiple depot returns," European Journal of Operational Research, Elsevier, vol. 187(2), pages 483-495, June.
    16. Agnetis, Alessandro & Aloulou, Mohamed Ali & Fu, Liang-Liang & Kovalyov, Mikhail Y., 2015. "Two faster algorithms for coordination of production and batch delivery: A note," European Journal of Operational Research, Elsevier, vol. 241(3), pages 927-930.
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