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A Benders decomposition algorithm for the multi-mode resource-constrained multi-project scheduling problem with uncertainty

Author

Listed:
  • Maryam Sadeghloo

    (Babol Noshirvani University of Technology)

  • Saeed Emami

    (Babol Noshirvani University of Technology)

  • Ali Divsalar

    (Babol Noshirvani University of Technology)

Abstract

In this research, we focus on the multi-mode resource-constrained multi-project scheduling problem from the perspective of consultants who attend design-bid-build contracts and put their efforts to optimize the client and contractors’ profits simultaneously. Each contractor may have a different level of knowledge and experience to perform a project. Therefore, the contractor selection to execute a project may affect the quality and satisfaction level of the project. This study aims to schedule activities of a certain number of projects with multiple execution modes and pre-specified relations. A multi-objective mixed-integer linear programming model is proposed to maximize satisfaction in contractor selection, minimize the total cost of projects and earliness and tardiness penalties, and minimize the total completion time of projects subject to resource constraints. It is assumed that activity durations are uncertain; thereby the globalized robust counterpart of the formulation is presented such that the normal range of the perturbation is the intersection of a box and a polyhedral. The proposed multi-objective model is solved by the multi-choice goal programming approach. This problem is computationally complex and the Benders decomposition (BD) method is utilized to solve it. Numerical experiments on different instances prove the quality of the proposed BD method and illustrate that the proposed model is capable of selecting a proper contractor and multi-project scheduling.

Suggested Citation

  • Maryam Sadeghloo & Saeed Emami & Ali Divsalar, 2024. "A Benders decomposition algorithm for the multi-mode resource-constrained multi-project scheduling problem with uncertainty," Annals of Operations Research, Springer, vol. 339(3), pages 1637-1677, August.
    • Handle: RePEc:spr:annopr:v:339:y:2024:i:3:d:10.1007_s10479-023-05403-5
    DOI: 10.1007/s10479-023-05403-5
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    1. A. Alan B. Pritsker & Lawrence J. Waiters & Philip M. Wolfe, 1969. "Multiproject Scheduling with Limited Resources: A Zero-One Programming Approach," Management Science, INFORMS, vol. 16(1), pages 93-108, September.
    2. Sönke Hartmann, 2001. "Project Scheduling with Multiple Modes: A Genetic Algorithm," Annals of Operations Research, Springer, vol. 102(1), pages 111-135, February.
    3. Geiger, Martin Josef, 2017. "A multi-threaded local search algorithm and computer implementation for the multi-mode, resource-constrained multi-project scheduling problem," European Journal of Operational Research, Elsevier, vol. 256(3), pages 729-741.
    4. Hartmann, Sonke & Kolisch, Rainer, 2000. "Experimental evaluation of state-of-the-art heuristics for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 127(2), pages 394-407, December.
    5. 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.
    6. Balouka, Noemie & Cohen, Izack, 2021. "A robust optimization approach for the multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 291(2), pages 457-470.
    7. 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.
    8. Anıl Can & Gündüz Ulusoy, 2014. "Multi-project scheduling with two-stage decomposition," Annals of Operations Research, Springer, vol. 217(1), pages 95-116, June.
    9. 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.
    10. Gutjahr, Walter J., 2015. "Bi-Objective Multi-Mode Project Scheduling Under Risk Aversion," European Journal of Operational Research, Elsevier, vol. 246(2), pages 421-434.
    11. Elloumi, Sonda & Fortemps, Philippe, 2010. "A hybrid rank-based evolutionary algorithm applied to multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 31-41, August.
    12. Olivier Lambrechts & Erik Demeulemeester & Willy Herroelen, 2011. "Time slack-based techniques for robust project scheduling subject to resource uncertainty," Annals of Operations Research, Springer, vol. 186(1), pages 443-464, June.
    13. Lova, Antonio & Maroto, Concepcion & Tormos, Pilar, 2000. "A multicriteria heuristic method to improve resource allocation in multiproject scheduling," European Journal of Operational Research, Elsevier, vol. 127(2), pages 408-424, December.
    14. Deckro, Richard F. & Winkofsky, E. P. & E. Hebert, John & Gagnon, Roger, 1991. "A decomposition approach to multi-project scheduling," European Journal of Operational Research, Elsevier, vol. 51(1), pages 110-118, March.
    15. 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.
    16. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    17. Joanna Józefowska & Marek Mika & Rafał Różycki & Grzegorz Waligóra & Jan Węglarz, 2001. "Simulated Annealing for Multi-Mode Resource-Constrained Project Scheduling," Annals of Operations Research, Springer, vol. 102(1), pages 137-155, February.
    18. Tiwari, Vikram & Patterson, James H. & Mabert, Vincent A., 2009. "Scheduling projects with heterogeneous resources to meet time and quality objectives," European Journal of Operational Research, Elsevier, vol. 193(3), pages 780-790, March.
    19. Luis F. Machado-Domínguez & Carlos D. Paternina-Arboleda & Jorge I. Vélez & Agustin Barrios-Sarmiento, 2021. "A memetic algorithm to address the multi-node resource-constrained project scheduling problem," Journal of Scheduling, Springer, vol. 24(4), pages 413-429, August.
    20. 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.
    21. Bruni, M.E. & Di Puglia Pugliese, L. & Beraldi, P. & Guerriero, F., 2017. "An adjustable robust optimization model for the resource-constrained project scheduling problem with uncertain activity durations," Omega, Elsevier, vol. 71(C), pages 66-84.
    22. 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.
    23. Servranckx, Tom & Vanhoucke, Mario, 2019. "A tabu search procedure for the resource-constrained project scheduling problem with alternative subgraphs," European Journal of Operational Research, Elsevier, vol. 273(3), pages 841-860.
    24. Hartmann, Sönke & Kolisch, R., 2000. "Experimental evaluation of state-of-the-art heuristics for the resource-constrained project scheduling problem," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 11180, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    25. 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.
    26. 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.
    27. Umut Beşikçi & Ümit Bilge & Gündüz Ulusoy, 2019. "Resource portfolio problem under relaxed resource dedication policy in multi-mode multi-project scheduling," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 14(4), pages 541-567.
    28. Pellerin, Robert & Perrier, Nathalie & Berthaut, François, 2020. "A survey of hybrid metaheuristics for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 280(2), pages 395-416.
    29. Chang, Ching-Ter, 2007. "Multi-choice goal programming," Omega, Elsevier, vol. 35(4), pages 389-396, August.
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