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Convex resource allocation scheduling in the no-wait flowshop with common flow allowance and learning effect

Author

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  • Xinyu Sun
  • Xin-Na Geng
  • Ji-Bo Wang
  • Feng Liu

Abstract

We study the problem of two-machine no-wait flowshop scheduling with learning effect and convex resource-dependent processing times. Under the condition of the due-date assignment with common flow allowance (i.e. slack (SLK) due-date assignment), we provide a bi-criteria analysis where the first criterion is to minimise the scheduling criteria (i.e. the weighted sum of earliness, tardiness and flow allowance costs), and the second criterion is to minimise the resource consumption cost (i.e. the weighted sum of resource consumption cost). The objective is to determine the optimal job sequence, resource allocations and common (flow allowance) slack time that minimise the three different versions of the two criteria. We prove that these problems can be solved in polynomial time.

Suggested Citation

  • Xinyu Sun & Xin-Na Geng & Ji-Bo Wang & Feng Liu, 2019. "Convex resource allocation scheduling in the no-wait flowshop with common flow allowance and learning effect," International Journal of Production Research, Taylor & Francis Journals, vol. 57(6), pages 1873-1891, March.
    • Handle: RePEc:taf:tprsxx:v:57:y:2019:i:6:p:1873-1891
    DOI: 10.1080/00207543.2018.1510559
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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. Dujuan Wang & Yugang Yu & Huaxin Qiu & Yunqiang Yin & T. C. E. Cheng, 2020. "Two‐agent scheduling with linear resource‐dependent processing times," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(7), pages 573-591, October.
    3. Ali Kordmostafapour & Javad Rezaeian & Iraj Mahdavi & Mahdi Yar Farjad, 2022. "Scheduling unrelated parallel machine problem with multi-mode processing times and batch delivery cost," OPSEARCH, Springer;Operational Research Society of India, vol. 59(4), pages 1438-1470, December.

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