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Production scheduling with alternative process plans

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  • Čapek, R.
  • Šůcha, P.
  • Hanzálek, Z.

Abstract

This paper deals with a scheduling problem with alternative process plans that was motivated by a production of wire harnesses where certain parts can be processed manually or automatically by different types of machines. Only a subset of all the given activities will form the solution, so the decision whether the activity will appear in the final schedule has to be made during the scheduling process. The problem considered is an extension of the resource constrained project scheduling problem (RCPSP) with unary resources, positive and negative time-lags and sequence dependent setup times. We extend classic RCPSP problem by a definition of alternative branchings, represented by the Petri nets formalism allowing one to define alternatives and parallelism within one data structure. For this representation of the problem, an integer linear programming model is formulated and the reduction of the problem, using time symmetry mapping, is shown. Finally, a heuristic algorithm based on priority schedule construction with an unscheduling step is proposed for the nested version of the problem and it is used to solve the case study of the wire harnesses production.

Suggested Citation

  • Čapek, R. & Šůcha, P. & Hanzálek, Z., 2012. "Production scheduling with alternative process plans," European Journal of Operational Research, Elsevier, vol. 217(2), pages 300-311.
    • Handle: RePEc:eee:ejores:v:217:y:2012:i:2:p:300-311
    DOI: 10.1016/j.ejor.2011.09.018
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    References listed on IDEAS

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    1. Kis, Tamas, 2003. "Job-shop scheduling with processing alternatives," European Journal of Operational Research, Elsevier, vol. 151(2), pages 307-332, December.
    2. Ulrich Dorndorf & Erwin Pesch & Toàn Phan-Huy, 2000. "A Time-Oriented Branch-and-Bound Algorithm for Resource-Constrained Project Scheduling with Generalised Precedence Constraints," Management Science, INFORMS, vol. 46(10), pages 1365-1384, October.
    3. Jose Reinaldo Silva & Pedro M. G. Del Foyo, 2012. "Timed Petri Nets," Chapters, in: Pawel Pawlewski (ed.), Petri Nets - Manufacturing and Computer Science, IntechOpen.
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    6. Brucker, Peter & Drexl, Andreas & Mohring, Rolf & Neumann, Klaus & Pesch, Erwin, 1999. "Resource-constrained project scheduling: Notation, classification, models, and methods," European Journal of Operational Research, Elsevier, vol. 112(1), pages 3-41, January.
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    Cited by:

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    3. van der Beek, T. & Souravlias, D. & van Essen, J.T. & Pruyn, J. & Aardal, K., 2024. "Hybrid differential evolution algorithm for the resource constrained project scheduling problem with a flexible project structure and consumption and production of resources," European Journal of Operational Research, Elsevier, vol. 313(1), pages 92-111.
    4. Servranckx, Tom & Vanhoucke, Mario, 2019. "Strategies for project scheduling with alternative subgraphs under uncertainty: similar and dissimilar sets of schedules," European Journal of Operational Research, Elsevier, vol. 279(1), pages 38-53.
    5. Servranckx, Tom & Vanhoucke, Mario, 2019. "A tabu search procedure for the resource-constrained project scheduling problem with alternative subgraphs," European Journal of Operational Research, Elsevier, vol. 273(3), pages 841-860.
    6. Ma, Yujie & Du, Gang & Jiao, Roger J., 2020. "Optimal crowdsourcing contracting for reconfigurable process planning in open manufacturing: A bilevel coordinated optimization approach," International Journal of Production Economics, Elsevier, vol. 228(C).
    7. Kellenbrink, Carolin & Helber, Stefan, 2015. "Scheduling resource-constrained projects with a flexible project structure," European Journal of Operational Research, Elsevier, vol. 246(2), pages 379-391.
    8. Luise-Sophie Hoffmann & Carolin Kellenbrink & Stefan Helber, 2020. "Simultaneous structuring and scheduling of multiple projects with flexible project structures," Journal of Business Economics, Springer, vol. 90(5), pages 679-711, June.

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