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A Boolean satisfiability approach to the resource-constrained project scheduling problem

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  • Andrei Horbach

Abstract

We formulate the resource-constrained project scheduling problem as a satisfiability problem and adapt a satisfiability solver for the specific domain of the problem. Our solver is lightweight and shows good performance both in finding feasible solutions and in proving lower bounds. Our numerical tests allowed us to close several benchmark instances of the RCPSP that have never been closed before by proving tighter lower bounds and by finding better feasible solutions. Using our method we solve optimally more instances of medium and large size from the benchmark library PSPLIB and do it faster compared to any other existing solver. Copyright Springer Science+Business Media, LLC 2010

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  • Andrei Horbach, 2010. "A Boolean satisfiability approach to the resource-constrained project scheduling problem," Annals of Operations Research, Springer, vol. 181(1), pages 89-107, December.
    • Handle: RePEc:spr:annopr:v:181:y:2010:i:1:p:89-107:10.1007/s10479-010-0693-2
    DOI: 10.1007/s10479-010-0693-2
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    Cited by:

    1. Alexander Schnell & Richard F. Hartl, 2016. "On the efficient modeling and solution of the multi-mode resource-constrained project scheduling problem with generalized precedence relations," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(2), pages 283-303, March.
    2. Servranckx, Tom & Coelho, José & Vanhoucke, Mario, 2024. "A genetic algorithm for the Resource-Constrained Project Scheduling Problem with Alternative Subgraphs using a boolean satisfiability solver," European Journal of Operational Research, Elsevier, vol. 316(3), pages 815-827.
    3. Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre (Ed.), 2011. "Jahresbericht 2010," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 654, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    4. de Azevedo, Guilherme Henrique Ismael & Pessoa, Artur Alves & Subramanian, Anand, 2021. "A satisfiability and workload-based exact method for the resource constrained project scheduling problem with generalized precedence constraints," European Journal of Operational Research, Elsevier, vol. 289(3), pages 809-824.

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