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A Time-Oriented Branch-and-Bound Algorithm for Resource-Constrained Project Scheduling with Generalised Precedence Constraints

Author

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  • Ulrich Dorndorf

    (Faculty of Economics, University of Bonn, Adenauerallee 24-42, D-53113 Bonn, Germany)

  • Erwin Pesch

    (Faculty of Economics, University of Bonn, Adenauerallee 24-42, D-53113 Bonn, Germany)

  • Toàn Phan-Huy

    (Faculty of Economics, University of Bonn, Adenauerallee 24-42, D-53113 Bonn, Germany)

Abstract

Resource-constrained project scheduling with generalised precedence constraints is a very general scheduling model with applications in areas such as make-to-order production planning. We describe a time-oriented branch-and-bound algorithm that uses constraint-propagation techniques which actively exploit the temporal and resource constraints of the problem in order to reduce the search space. Extensive computational experiments with systematically generated test problems show that the algorithm solves more problems to optimality than other exact solution procedures which have recently been proposed, and that the truncated version of the algorithm is also a very good heuristic.

Suggested Citation

  • Ulrich Dorndorf & Erwin Pesch & Toàn Phan-Huy, 2000. "A Time-Oriented Branch-and-Bound Algorithm for Resource-Constrained Project Scheduling with Generalised Precedence Constraints," Management Science, INFORMS, vol. 46(10), pages 1365-1384, October.
    • Handle: RePEc:inm:ormnsc:v:46:y:2000:i:10:p:1365-1384
    DOI: 10.1287/mnsc.46.10.1365.12272
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    References listed on IDEAS

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    Cited by:

    1. Estévez-Fernández, Arantza, 2012. "A game theoretical approach to sharing penalties and rewards in projects," European Journal of Operational Research, Elsevier, vol. 216(3), pages 647-657.
    2. Rolf H. Möhring & Andreas S. Schulz & Frederik Stork & Marc Uetz, 2003. "Solving Project Scheduling Problems by Minimum Cut Computations," Management Science, INFORMS, vol. 49(3), pages 330-350, March.
    3. Alexander Tesch, 2020. "A polyhedral study of event-based models for the resource-constrained project scheduling problem," Journal of Scheduling, Springer, vol. 23(2), pages 233-251, April.
    4. 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.
    5. Drexl, Andreas & Nikulin, Yuri, 2005. "Multicriteria time window-constrained project scheduling with applications to airport gate assignment. Part I: Methodology," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 595, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    6. 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.
    7. Dorndorf, Ulrich & Drexl, Andreas & Nikulin, Yury & Pesch, Erwin, 2007. "Flight gate scheduling: State-of-the-art and recent developments," Omega, Elsevier, vol. 35(3), pages 326-334, June.
    8. Chen, Jiaqiong & Askin, Ronald G., 2009. "Project selection, scheduling and resource allocation with time dependent returns," European Journal of Operational Research, Elsevier, vol. 193(1), pages 23-34, February.
    9. Dorndorf, Ulrich & Drexl, Andreas & Nikulin, Yury & Pesch, Erwin, 2005. "Flight gate scheduling: State-of-the-art and recent developments," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 584, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    10. Gaby Pinto & Yariv Ben-Dov & Gad Rabinowitz, 2013. "Formulating and solving a multi-mode resource-collaboration and constrained scheduling problem (MRCCSP)," Annals of Operations Research, Springer, vol. 206(1), pages 311-339, July.
    11. Brucker, Peter & Knust, Sigrid, 2003. "Lower bounds for resource-constrained project scheduling problems," European Journal of Operational Research, Elsevier, vol. 149(2), pages 302-313, September.
    12. Klaus Heeger & Danny Hermelin & George B. Mertzios & Hendrik Molter & Rolf Niedermeier & Dvir Shabtay, 2023. "Equitable scheduling on a single machine," Journal of Scheduling, Springer, vol. 26(2), pages 209-225, April.
    13. Bianco, Lucio & Caramia, Massimiliano, 2012. "An exact algorithm to minimize the makespan in project scheduling with scarce resources and generalized precedence relations," European Journal of Operational Research, Elsevier, vol. 219(1), pages 73-85.
    14. Abdollah Arasteh, 2020. "Considering Project Management Activities for Engineering Design Groups," SN Operations Research Forum, Springer, vol. 1(4), pages 1-29, December.
    15. 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.
    16. Heilmann, Roland, 2003. "A branch-and-bound procedure for the multi-mode resource-constrained project scheduling problem with minimum and maximum time lags," European Journal of Operational Research, Elsevier, vol. 144(2), pages 348-365, January.
    17. Li, Haitao & Womer, Norman K., 2015. "Solving stochastic resource-constrained project scheduling problems by closed-loop approximate dynamic programming," European Journal of Operational Research, Elsevier, vol. 246(1), pages 20-33.
    18. Guidong Zhu & Jonathan F. Bard & Gang Yu, 2006. "A Branch-and-Cut Procedure for the Multimode Resource-Constrained Project-Scheduling Problem," INFORMS Journal on Computing, INFORMS, vol. 18(3), pages 377-390, August.
    19. Čapek, R. & Šůcha, P. & Hanzálek, Z., 2012. "Production scheduling with alternative process plans," European Journal of Operational Research, Elsevier, vol. 217(2), pages 300-311.
    20. Milind Dawande & Zhichao Feng & Ganesh Janakiraman, 2021. "On the Structure of Bottlenecks in Processes," Management Science, INFORMS, vol. 67(6), pages 3853-3870, June.
    21. Ulrich Dorndorf & Florian Jaehn & Erwin Pesch, 2017. "Flight gate assignment and recovery strategies with stochastic arrival and departure times," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(1), pages 65-93, January.

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