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Project scheduling with multiple modes: A comparison of exact algorithms

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  • Hartmann, Sönke
  • Drexl, Andreas

Abstract

This paper is devoted to a comparison of all available branch-and-bound algorithms that can be applied to solve resource-constrained project scheduling problems with multiple execution modes for each activity. After summarizing the two exact algorithms that have been suggested in the literature, we propose an alternative exact approach based on the concepts of mode and extension alternatives to solve this problem. Subsequently, we compare it to the two procedures available in the literature. Therefore, the three algorithms as well as all available bounding criteria and dominance rules are summarized in a unified framework. In addition to a theoretical comparison of the procedures, we present the results of our computational studies in order to determine the most efficient algorithm.

Suggested Citation

  • Hartmann, Sönke & Drexl, Andreas, 1997. "Project scheduling with multiple modes: A comparison of exact algorithms," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 430, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:430
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    References listed on IDEAS

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    1. Christofides, Nicos & Alvarez-Valdes, R. & Tamarit, J. M., 1987. "Project scheduling with resource constraints: A branch and bound approach," European Journal of Operational Research, Elsevier, vol. 29(3), pages 262-273, June.
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    5. Rainer Kolisch & Arno Sprecher & Andreas Drexl, 1995. "Characterization and Generation of a General Class of Resource-Constrained Project Scheduling Problems," Management Science, INFORMS, vol. 41(10), pages 1693-1703, October.
    6. Sprecher, Arno & Drexl, Andreas, 1996. "Solving Multi-Mode Resource-Constrained Project Scheduling Problems by a Simple, General and Powerful Sequeacing Algorithm. Part I: Theory," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 385, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    7. Sprecher, Arno & Drexl, Andreas, 1996. "Solving Multi-Mode Resource-Constrained Project Scheduling Problems by a Simple, General and Powerful Sequeacing Algorithm. Part II: Computation," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 386, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    8. Erik Demeulemeester & Willy Herroelen, 1992. "A Branch-and-Bound Procedure for the Multiple Resource-Constrained Project Scheduling Problem," Management Science, INFORMS, vol. 38(12), pages 1803-1818, December.
    9. Speranza, M. Grazia & Vercellis, Carlo, 1993. "Hierarchical models for multi-project planning and scheduling," European Journal of Operational Research, Elsevier, vol. 64(2), pages 312-325, January.
    10. F. Brian Talbot & James H. Patterson, 1978. "An Efficient Integer Programming Algorithm with Network Cuts for Solving Resource-Constrained Scheduling Problems," Management Science, INFORMS, vol. 24(11), pages 1163-1174, July.
    11. Andreas Drexl, 1991. "Scheduling of Project Networks by Job Assignment," Management Science, INFORMS, vol. 37(12), pages 1590-1602, December.
    12. Sprecher, Arno, 1996. "Solving the RCPSP efficiently at modest memory requirements," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 425, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
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    1. Kolisch, Rainer & Padman, Rema, 1997. "An integrated survey of project scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 463, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    2. T Wauters & K Verbeeck & G Vanden Berghe & P De Causmaecker, 2011. "Learning agents for the multi-mode project scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(2), pages 281-290, February.
    3. Mick Van Den Eeckhout & Broos Maenhout & Mario Vanhoucke, 2020. "Mode generation rules to define activity flexibility for the integrated project staffing problem with discrete time/resource trade-offs," Annals of Operations Research, Springer, vol. 292(1), pages 133-160, September.
    4. Alfredo S. Ramos & Pablo A. Miranda-Gonzalez & Samuel Nucamendi-Guillén & Elias Olivares-Benitez, 2023. "A Formulation for the Stochastic Multi-Mode Resource-Constrained Project Scheduling Problem Solved with a Multi-Start Iterated Local Search Metaheuristic," Mathematics, MDPI, vol. 11(2), pages 1-25, January.
    5. Balouka, Noemie & Cohen, Izack, 2021. "A robust optimization approach for the multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 291(2), pages 457-470.
    6. Sprecher, Arno, 1996. "Solving the RCPSP efficiently at modest memory requirements," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 425, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    7. Drexl, Andreas & Kolisch, Rainer & Salewski, Frank, 1998. "Projektmanagement bei flexiblen Arbeitszeiten," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 494, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    8. Hartmann, Sönke, 1997. "Project scheduling with multiple modes: A genetic algorithm," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 435, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    9. Bert De Reyck & Erik Demeulemeester & Willy Herroelen, 1998. "Local search methods for the discrete time/resource trade‐off problem in project networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(6), pages 553-578, September.
    10. He, Naihui & Zhang, David Z. & Yuce, Baris, 2022. "Integrated multi-project planning and scheduling - a multiagent approach," European Journal of Operational Research, Elsevier, vol. 302(2), pages 688-699.
    11. Drexl, Andreas & Kolisch, Rainer & Sprecher, Arno, 1997. "Koordination und Integration im Projektmanagement - Aufgaben und Instrumente," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 443, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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