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An exact approach for single machine subproblems in shifting bottleneck procedures for job shops with total weighted tardiness objective

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  • Braune, R.
  • Zäpfel, G.
  • Affenzeller, M.

Abstract

In this paper, we propose an exact solution method for single machine scheduling problems typically arising from bottleneck-based decomposition of weighted tardiness job shops. The encountered subproblems are characterized by delayed precedence constraints, multiple local due dates per operation and an objective function that is given by a weighted sum of maximum tardiness values. The key concept for solving these subproblems to optimality is a dominance rule whose underlying concepts have been newly developed to cope with the given structural properties. Furthermore, a simple lower bound and a dedicated constraint programming technique are presented. The efficiency of the proposed method is demonstrated by means of single machine problems collected during a run of a shifting bottleneck procedure for job shops in different size and due date tightness configurations.

Suggested Citation

  • Braune, R. & Zäpfel, G. & Affenzeller, M., 2012. "An exact approach for single machine subproblems in shifting bottleneck procedures for job shops with total weighted tardiness objective," European Journal of Operational Research, Elsevier, vol. 218(1), pages 76-85.
    • Handle: RePEc:eee:ejores:v:218:y:2012:i:1:p:76-85
    DOI: 10.1016/j.ejor.2011.10.020
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    References listed on IDEAS

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    Cited by:

    1. Ahmadian, Mohammad Mahdi & Salehipour, Amir & Cheng, T.C.E., 2021. "A meta-heuristic to solve the just-in-time job-shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 288(1), pages 14-29.
    2. Qin, Hu & Zhang, Zizhen & Lim, Andrew & Liang, Xiaocong, 2016. "An enhanced branch-and-bound algorithm for the talent scheduling problem," European Journal of Operational Research, Elsevier, vol. 250(2), pages 412-426.
    3. Rasti-Barzoki, Morteza & Hejazi, Seyed Reza, 2013. "Minimizing the weighted number of tardy jobs with due date assignment and capacity-constrained deliveries for multiple customers in supply chains," European Journal of Operational Research, Elsevier, vol. 228(2), pages 345-357.

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