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Quality- and profit-oriented scheduling of flexible resource-constrained projects

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  • Kellenbrink, Carolin
  • Helber, Stefan

Abstract

We study the problem of determining both the structure and the schedule of projects subject to capacity constraints. We assume that those projects are flexible in the sense that the activities to be implemented are not entirely known in advance. In such a setting, decisions must be made with respect to the implementation of the optional activities. Such decisions affect the duration, cost, quality and eventual revenue of the project. Examples of this type of problem can often be found when complex capital goods such as aircraft engines are overhauled, when buildings are renovated to meet higher environmental and efficiency standards, or in productdevelopment processes. We describe the problem, develop a mixed-integer optimisation model, explain specific features of a genetic algorithm to solve the problem and report the results of a numerical study.

Suggested Citation

  • Kellenbrink, Carolin & Helber, Stefan, 2014. "Quality- and profit-oriented scheduling of flexible resource-constrained projects," Hannover Economic Papers (HEP) dp-549, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    • Handle: RePEc:han:dpaper:dp-549
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    References listed on IDEAS

    as
    1. Sönke Hartmann, 2001. "Project Scheduling with Multiple Modes: A Genetic Algorithm," Annals of Operations Research, Springer, vol. 102(1), pages 111-135, February.
    2. 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.
    3. 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.
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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. 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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    8. Weglarz, Jan & Józefowska, Joanna & Mika, Marek & Waligóra, Grzegorz, 2011. "Project scheduling with finite or infinite number of activity processing modes - A survey," European Journal of Operational Research, Elsevier, vol. 208(3), pages 177-205, February.
    9. 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.
    10. Jürgen Kuster & Dietmar Jannach & Gerhard Friedrich, 2010. "Applying Local Rescheduling in response to schedule disruptions," Annals of Operations Research, Springer, vol. 180(1), pages 265-282, November.
    11. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
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    13. Hartmann, Sönke & Briskorn, Dirk, 2010. "A survey of variants and extensions of the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 207(1), pages 1-14, November.
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    Keywords

    Quality; project scheduling; genetic algorithm; RCPSP; flexible projects;
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