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Minsum and minmax scheduling on a proportionate flowshop with common flow-allowance

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  • Mor, Baruch
  • Mosheiov, Gur

Abstract

We study due-date assignment problems with common flow allowance on a proportionate flowshop. We focus on both minsum and minmax objectives. Both cases are extended to a setting of a due-window. The proposed solution procedures are shown to be significantly different from those of the single machine problems. All the problems studied here are solved in polynomial time: the minsum problems in O(n2) and the minmax problems in O(nlog n), where n is the number of jobs.

Suggested Citation

  • Mor, Baruch & Mosheiov, Gur, 2016. "Minsum and minmax scheduling on a proportionate flowshop with common flow-allowance," European Journal of Operational Research, Elsevier, vol. 254(2), pages 360-370.
    • Handle: RePEc:eee:ejores:v:254:y:2016:i:2:p:360-370
    DOI: 10.1016/j.ejor.2016.03.037
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    References listed on IDEAS

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    1. B Mor & G Mosheiov, 2012. "Minmax scheduling problems with common flow-allowance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(9), pages 1284-1293, September.
    2. Gordon, Valery & Proth, Jean-Marie & Chu, Chengbin, 2002. "A survey of the state-of-the-art of common due date assignment and scheduling research," European Journal of Operational Research, Elsevier, vol. 139(1), pages 1-25, May.
    3. Chen, Ke & Ji, Min & Ge, Jiaojiao, 2013. "A note on scheduling a maintenance activity and due-window assignment based on common flow allowance," International Journal of Production Economics, Elsevier, vol. 145(2), pages 645-646.
    4. Dvir Shabtay & George Steiner, 2007. "Optimal Due Date Assignment and Resource Allocation to Minimize the Weighted Number of Tardy Jobs on a Single Machine," Manufacturing & Service Operations Management, INFORMS, vol. 9(3), pages 332-350, March.
    5. Janiak, Adam & Janiak, Władysław A. & Krysiak, Tomasz & Kwiatkowski, Tomasz, 2015. "A survey on scheduling problems with due windows," European Journal of Operational Research, Elsevier, vol. 242(2), pages 347-357.
    6. Adamopoulos, G. I. & Pappis, C. P., 1996. "Scheduling jobs with different, job-dependent earliness and tardiness penalties using the SLK method," European Journal of Operational Research, Elsevier, vol. 88(2), pages 336-344, January.
    7. Mor, Baruch & Mosheiov, Gur, 2012. "Scheduling a maintenance activity and due-window assignment based on common flow allowance," International Journal of Production Economics, Elsevier, vol. 135(1), pages 222-230.
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    Cited by:

    1. Baruch Mor, 2022. "Minmax common flow-allowance problems with convex resource allocation and position-dependent workloads," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 79-97, January.
    2. Kuo-Ching Ying & Pourya Pourhejazy & Chuan-En Sung, 2024. "Two-agent proportionate flowshop scheduling with deadlines: polynomial-time optimization algorithms," Annals of Operations Research, Springer, vol. 343(1), pages 543-558, December.
    3. Baruch Mor & Gur Mosheiov, 2021. "Minmax due-date assignment on a two-machine flowshop," Annals of Operations Research, Springer, vol. 305(1), pages 191-209, October.

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