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Time symmetry of resource constrained project scheduling with general temporal constraints and take-give resources

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  • Zdeněk Hanzálek

    (Czech Technical University in Prague)

  • Přemysl Šůcha

    (Czech Technical University in Prague)

Abstract

The paper studies a lacquer production scheduling problem formulated as a resource constrained project scheduling problem with general temporal constraints (i.e., positive and negative time-lags). This real-world scheduling problem requires so-called take-give resources that are needed from the beginning of an activity to the completion of another activity of the production process. Furthermore, we consider sequence dependent changeover times on take-give resources. We formulate this problem by mixed integer linear programming and we suggest a parallel heuristic to solve the problem. This heuristic exploits a time symmetry mapping which allows an easy construction of a schedule in the backward time orientation. In the second part of the paper, it is proven that the time symmetry mapping is bijective and involutive even for the problem with general temporal constraints, changeover times, and take-give resources. The motivation to use this mapping is to improve the performance of the heuristic and to simplify its implementation. Finally, the performance of the heuristic algorithm is evaluated on a set of lacquer production benchmarks requiring take-give resources and on standard benchmarks for the resource constrained project scheduling problem with general temporal constraints where we found new better solutions in 16 and 12 instances out of 90 for UBO500 and UBO1000 respectively.

Suggested Citation

  • Zdeněk Hanzálek & Přemysl Šůcha, 2017. "Time symmetry of resource constrained project scheduling with general temporal constraints and take-give resources," Annals of Operations Research, Springer, vol. 248(1), pages 209-237, January.
    • Handle: RePEc:spr:annopr:v:248:y:2017:i:1:d:10.1007_s10479-016-2184-6
    DOI: 10.1007/s10479-016-2184-6
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    References listed on IDEAS

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    1. Nizar Hachemi & Issmail Hallaoui & Michel Gendreau & Louis-Martin Rousseau, 2015. "Flow-based integer linear programs to solve the weekly log-truck scheduling problem," Annals of Operations Research, Springer, vol. 232(1), pages 87-97, September.
    2. Mireille Palpant & Christian Artigues & Philippe Michelon, 2004. "LSSPER: Solving the Resource-Constrained Project Scheduling Problem with Large Neighbourhood Search," Annals of Operations Research, Springer, vol. 131(1), pages 237-257, October.
    3. Peter Brucker & Thomas Kampmeyer, 2008. "Cyclic job shop scheduling problems with blocking," Annals of Operations Research, Springer, vol. 159(1), pages 161-181, March.
    4. Li, K. Y. & Willis, R. J., 1992. "An iterative scheduling technique for resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 56(3), pages 370-379, February.
    5. Evgeny Gafarov & Alexander Lazarev & Frank Werner, 2014. "Approximability results for the resource-constrained project scheduling problem with a single type of resources," Annals of Operations Research, Springer, vol. 213(1), pages 115-130, February.
    6. Valls, Vicente & Weglarz, Jan, 2005. "Project management and scheduling," European Journal of Operational Research, Elsevier, vol. 165(2), pages 285-288, September.
    7. Valls, Vicente & Ballestin, Francisco & Quintanilla, Sacramento, 2005. "Justification and RCPSP: A technique that pays," European Journal of Operational Research, Elsevier, vol. 165(2), pages 375-386, September.
    8. Demeulemeester, Erik & Herroelen, Willy, 2011. "Robust Project Scheduling," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 3(3–4), pages 201-376, January.
    9. Pilar Tormos & Antonio Lova, 2001. "A Competitive Heuristic Solution Technique for Resource-Constrained Project Scheduling," Annals of Operations Research, Springer, vol. 102(1), pages 65-81, February.
    10. Oleh Sobeyko & Lars Mönch, 2015. "Grouping genetic algorithms for solving single machine multiple orders per job scheduling problems," Annals of Operations Research, Springer, vol. 235(1), pages 709-739, December.
    11. Olivier Lambrechts & Erik Demeulemeester & Willy Herroelen, 2011. "Time slack-based techniques for robust project scheduling subject to resource uncertainty," Annals of Operations Research, Springer, vol. 186(1), pages 443-464, June.
    12. Jan-Hendrik Bartels & Thorsten Gather & Jürgen Zimmermann, 2011. "Dismantling of nuclear power plants at optimal NPV," Annals of Operations Research, Springer, vol. 186(1), pages 407-427, June.
    13. Kolisch, Rainer & Hartmann, Sonke, 2006. "Experimental investigation of heuristics for resource-constrained project scheduling: An update," European Journal of Operational Research, Elsevier, vol. 174(1), pages 23-37, October.
    14. Mascis, Alessandro & Pacciarelli, Dario, 2002. "Job-shop scheduling with blocking and no-wait constraints," European Journal of Operational Research, Elsevier, vol. 143(3), pages 498-517, December.
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    Cited by:

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    2. Antonin Novak & Zdenek Hanzalek, 2022. "Computing the execution probability of jobs with replication in mixed-criticality schedules," Annals of Operations Research, Springer, vol. 309(1), pages 209-232, February.

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