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Bicriteria hierarchical optimization of two-machine flow shop scheduling problem with time-dependent deteriorating jobs

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  • Cheng, Mingbao
  • Tadikamalla, Pandu R.
  • Shang, Jennifer
  • Zhang, Shaqing

Abstract

We study a two-machine flowshop scheduling problem with time-dependent deteriorating jobs, i.e. the processing times of jobs are an increasing function of their starting time. The objective is to minimize the total completion time subject to minimum makespan. We propose a mixed integer programming model, and develop two pairwise interchange algorithms and a branch-and-bound procedure to solve the problem while using several dominance conditions to limit the size of the search tree. Several polynomial-time solvable special cases are discussed. Finally, numerical studies are performed to examine the effectiveness and the efficiency of the proposed algorithms.

Suggested Citation

  • Cheng, Mingbao & Tadikamalla, Pandu R. & Shang, Jennifer & Zhang, Shaqing, 2014. "Bicriteria hierarchical optimization of two-machine flow shop scheduling problem with time-dependent deteriorating jobs," European Journal of Operational Research, Elsevier, vol. 234(3), pages 650-657.
    • Handle: RePEc:eee:ejores:v:234:y:2014:i:3:p:650-657
    DOI: 10.1016/j.ejor.2013.09.033
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    Cited by:

    1. Xuyin Wang & Xiangpei Hu & Weiguo Liu, 2015. "Scheduling with Deteriorating Jobs and Non-Simultaneous Machine Available Times," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 32(06), pages 1-13, December.
    2. Chen, Qianqian & Lin, Ling & Tan, Zhiyi & Yan, Yujie, 2017. "Coordination mechanisms for scheduling games with proportional deterioration," European Journal of Operational Research, Elsevier, vol. 263(2), pages 380-389.
    3. 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.
    4. Yaping Fu & Hongfeng Wang & Guangdong Tian & Zhiwu Li & Hesuan Hu, 2019. "Two-agent stochastic flow shop deteriorating scheduling via a hybrid multi-objective evolutionary algorithm," Journal of Intelligent Manufacturing, Springer, vol. 30(5), pages 2257-2272, June.
    5. Stanisław Gawiejnowicz, 2020. "A review of four decades of time-dependent scheduling: main results, new topics, and open problems," Journal of Scheduling, Springer, vol. 23(1), pages 3-47, February.
    6. Hongfeng Wang & Min Huang & Junwei Wang, 2019. "An effective metaheuristic algorithm for flowshop scheduling with deteriorating jobs," Journal of Intelligent Manufacturing, Springer, vol. 30(7), pages 2733-2742, October.
    7. Rong, Aiying & Figueira, José Rui & Lahdelma, Risto, 2015. "A two phase approach for the bi-objective non-convex combined heat and power production planning problem," European Journal of Operational Research, Elsevier, vol. 245(1), pages 296-308.

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