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Project scheduling with multiple modes: A genetic algorithm

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  • Hartmann, Sönke

Abstract

In this paper we consider the resource-constrained project scheduling problem with multiple execution modes for each activity and makespan minimization as objective. We present a new genetic algorithm approach to solve this problem. The genetic encoding is based on a precedence feasible sequence of activities and a mode assignment. After defining the related crossover, mutation, and selection operators, we describe a local search extension which is employed to improve the schedules found by the basic genetic algorithm. Finally, we present the results of our thorough computational study. We determine the best among several different variants of our genetic algorithm and compare it to three other heuristics that have recently been proposed in the literature. The results that have been obtained using a standard set of instances show that the new genetic algorithm outperforms the other heuristic procedures with regard to a lower average deviation from the optimal makespan.

Suggested Citation

  • 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.
    • Handle: RePEc:zbw:cauman:435
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    References listed on IDEAS

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    1. F. Brian Talbot, 1982. "Resource-Constrained Project Scheduling with Time-Resource Tradeoffs: The Nonpreemptive Case," Management Science, INFORMS, vol. 28(10), pages 1197-1210, October.
    2. 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.
    3. Sprecher, Arno & Kolisch, Rainer & Drexl, Andreas, 1995. "Semi-active, active, and non-delay schedules for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 80(1), pages 94-102, January.
    4. 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.
    5. 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.
    6. Kolisch, Rainer & Sprecher, Arno, 1996. "PSPLIB - a project scheduling problem library," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 396, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    7. Slowinski, Roman & Soniewicki, Boleslaw & Weglarz, Jan, 1994. "DSS for multiobjective project scheduling," European Journal of Operational Research, Elsevier, vol. 79(2), pages 220-229, December.
    8. 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.
    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.
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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. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    3. 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.
    4. 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.
    5. 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.
    6. Ulusoy, Gunduz & Cebelli, Serkan, 2000. "An equitable approach to the payment scheduling problem in project management," European Journal of Operational Research, Elsevier, vol. 127(2), pages 262-278, December.
    7. 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.
    8. Hartmann, Sönke, 1997. "A comparative genetic algorithm for resource-constraint project scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 451, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.

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