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Robust scheduling of a two-stage hybrid flow shop with uncertain interval processing times

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  • Xin Feng
  • Feifeng Zheng
  • Yinfeng Xu

Abstract

This paper studies the makespan minimisation scheduling problem in a two-stage hybrid flow shop. The first stage has one machine and the second stage has m identical parallel machines. Neither the processing time nor probability distribution of the processing time of each job is uncertain. We propose a robust (min--max regret) scheduling model. To solve the robust scheduling problem, which is NP-hard, we first derive some properties of the worst-case scenario for a given schedule. We then propose both exact and heuristic algorithms to solve this problem. In addition, computational experiments are conducted to evaluate the performance of the proposed algorithms.

Suggested Citation

  • Xin Feng & Feifeng Zheng & Yinfeng Xu, 2016. "Robust scheduling of a two-stage hybrid flow shop with uncertain interval processing times," International Journal of Production Research, Taylor & Francis Journals, vol. 54(12), pages 3706-3717, June.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:12:p:3706-3717
    DOI: 10.1080/00207543.2016.1162341
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    Cited by:

    1. Haimin Lu & Zhi Pei, 2024. "A distributionally robust approach for the two-machine permutation flow shop scheduling," Annals of Operations Research, Springer, vol. 338(1), pages 709-739, July.
    2. Jonathan De La Vega & Alfredo Moreno & Reinaldo Morabito & Pedro Munari, 2023. "A robust optimization approach for the unrelated parallel machine scheduling problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(1), pages 31-66, April.
    3. Ng, K.K.H. & Lee, C.K.M. & Chan, Felix T.S. & Qin, Yichen, 2017. "Robust aircraft sequencing and scheduling problem with arrival/departure delay using the min-max regret approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 106(C), pages 115-136.

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