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Generation schemes for the resource-constrained project scheduling problem with partially renewable resources and generalized precedence constraints

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  • Mareike Karnebogen

    (Clausthal University of Technology)

  • Jürgen Zimmermann

    (Clausthal University of Technology)

Abstract

In recent years, new resource types have been established in project scheduling. These include so-called partially renewable resources, whose total capacity applies only to a subset of periods in the planning horizon. In this paper, we consider the extension of the resource-constrained project scheduling problem with those partially renewable resources as well as generalized precedence constraints with the objective of minimizing the project duration (RCPSP/max- $$\pi $$ π ). For this problem it is known that already the determination of a feasible solution is NP-hard in the strong sense. Hence, we present two different generation schemes that are able to find good feasible solutions in short time for most tested instances. The first one is a construction-based heuristic wherein the activities of the project are scheduled iteratively time- and resource-feasibly. The second one is a relaxation-based generation scheme, in which—starting from the schedule consisting of the earliest start times—resource conflicts are identified and resolved by inserting additional resource constraints.

Suggested Citation

  • Mareike Karnebogen & Jürgen Zimmermann, 2024. "Generation schemes for the resource-constrained project scheduling problem with partially renewable resources and generalized precedence constraints," Annals of Operations Research, Springer, vol. 338(1), pages 173-192, July.
    • Handle: RePEc:spr:annopr:v:338:y:2024:i:1:d:10.1007_s10479-023-05788-3
    DOI: 10.1007/s10479-023-05788-3
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    References listed on IDEAS

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    1. Kai Watermeyer & Jürgen Zimmermann, 2020. "A branch-and-bound procedure for the resource-constrained project scheduling problem with partially renewable resources and general temporal constraints," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 42(2), pages 427-460, June.
    2. Böttcher, Jan & Drexl, A. & Kolisch, R. & Salewski, F., 1999. "Project scheduling under partially renewable resource constraints," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 345, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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    4. Jan Böttcher & Andreas Drexl & Rainer Kolisch & Frank Salewski, 1999. "Project Scheduling Under Partially Renewable Resource Constraints," Management Science, INFORMS, vol. 45(4), pages 543-559, April.
    5. Kai Watermeyer & Jürgen Zimmermann, 2023. "A constructive branch-and-bound algorithm for the project duration problem with partially renewable resources and general temporal constraints," Journal of Scheduling, Springer, vol. 26(1), pages 95-111, February.
    6. Kai Watermeyer & Jürgen Zimmermann, 2022. "A partition-based branch-and-bound algorithm for the project duration problem with partially renewable resources and general temporal constraints," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 575-602, June.
    7. Alvarez-Valdes, R. & Crespo, E. & Tamarit, J.M. & Villa, F., 2008. "GRASP and path relinking for project scheduling under partially renewable resources," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1153-1170, September.
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