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Multi-mode resource constrained pro ject scheduling using RCPSP and SAT solvers

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  • J. COELHO
  • M. VANHOUCKE

Abstract

This paper reports on a new solution approach for the well-known multi-mode resource-constrained project scheduling problem (MMRCPSP). This problem type aims at the selection of a single activity mode from a set of available modes in order to construct a precedence and a (renewable and non-renewable) resource feasible project schedule with a minimal makespan. The problem type is known to be NPhard and has been solved using various exact as well as (meta-)heuristic procedures. The new algorithm splits the problem type into a mode assignment and a single mode project scheduling step. The mode assignment step is solved by a satisfiability (SAT) problem solver and returns a feasible mode selection to the project scheduling step. The project scheduling step is solved using a efficient meta-heuristic procedure from literature to solve the resource-constrained project scheduling problem (RCPSP). However, unlike many traditional meta-heuristic methods in literature to solve the MMRCPSP, the new approach executes these two steps in one run, relying on a single priority list. Straightforward adaptations to the pure SAT solver by using pseudo boolean non-renewable resource constraints has led to a high quality solution approach in a reasonable computational time. Computational results show that the PSPLIB problem instances can be solved better than the current best procedures from literature.

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  • J. Coelho & M. Vanhoucke, 2009. "Multi-mode resource constrained pro ject scheduling using RCPSP and SAT solvers," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 09/614, Ghent University, Faculty of Economics and Business Administration.
  • Handle: RePEc:rug:rugwps:09/614
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    1. Lova, Antonio & Tormos, Pilar & Cervantes, Mariamar & Barber, Federico, 2009. "An efficient hybrid genetic algorithm for scheduling projects with resource constraints and multiple execution modes," International Journal of Production Economics, Elsevier, vol. 117(2), pages 302-316, February.
    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. Ozdamar, Linet & Ulusoy, Gunduz, 1994. "A local constraint based analysis approach to project scheduling under general resource constraints," European Journal of Operational Research, Elsevier, vol. 79(2), pages 287-298, December.
    4. 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.
    5. 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.
    6. Kolisch, Rainer & Sprecher, Arno, 1996. "PSPLIB - a project scheduling problem library," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 396, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    7. Sprecher, Arno & Drexl, Andreas, 1998. "Multi-mode resource-constrained project scheduling by a simple, general and powerful sequencing algorithm," European Journal of Operational Research, Elsevier, vol. 107(2), pages 431-450, June.
    8. Dieter Debels & Mario Vanhoucke, 2007. "A Decomposition-Based Genetic Algorithm for the Resource-Constrained Project-Scheduling Problem," Operations Research, INFORMS, vol. 55(3), pages 457-469, June.
    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. Valls, Vicente & Quintanilla, Sacramento & Ballestin, Francisco, 2003. "Resource-constrained project scheduling: A critical activity reordering heuristic," European Journal of Operational Research, Elsevier, vol. 149(2), pages 282-301, September.
    11. Kolisch, R. & Padman, R., 2001. "An integrated survey of deterministic project scheduling," Omega, Elsevier, vol. 29(3), pages 249-272, June.
    12. Valls, Vicente & Ballestin, Francisco & Quintanilla, Sacramento, 2008. "A hybrid genetic algorithm for the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 185(2), pages 495-508, March.
    13. Valls, Vicente & Ballestin, Francisco & Quintanilla, Sacramento, 2005. "Justification and RCPSP: A technique that pays," European Journal of Operational Research, Elsevier, vol. 165(2), pages 375-386, September.
    14. D. Debels & M. Vanhoucke, 2005. "A Decomposition-Based Heuristic For The Resource-Constrained Project Scheduling Problem," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 05/293, Ghent University, Faculty of Economics and Business Administration.
    15. Bouleimen, K. & Lecocq, H., 2003. "A new efficient simulated annealing algorithm for the resource-constrained project scheduling problem and its multiple mode version," European Journal of Operational Research, Elsevier, vol. 149(2), pages 268-281, September.
    16. V. Van Peteghem & M. Vanhoucke, 2009. "An Artificial Immune System for the Multi-Mode Resource-Constrained Project Scheduling Problem," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 09/555, Ghent University, Faculty of Economics and Business Administration.
    17. Debels, Dieter & De Reyck, Bert & Leus, Roel & Vanhoucke, Mario, 2006. "A hybrid scatter search/electromagnetism meta-heuristic for project scheduling," European Journal of Operational Research, Elsevier, vol. 169(2), pages 638-653, March.
    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. J Alcaraz & C Maroto & R Ruiz, 2003. "Solving the Multi-Mode Resource-Constrained Project Scheduling Problem with genetic algorithms," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 614-626, June.
    20. Vicente Valls & Francisco Ballestín & Sacramento Quintanilla, 2004. "A Population-Based Approach to the Resource-Constrained Project Scheduling Problem," Annals of Operations Research, Springer, vol. 131(1), pages 305-324, October.
    21. Ranjbar, Mohammad & De Reyck, Bert & Kianfar, Fereydoon, 2009. "A hybrid scatter search for the discrete time/resource trade-off problem in project scheduling," European Journal of Operational Research, Elsevier, vol. 193(1), pages 35-48, February.
    22. Boctor, Fayez F., 1996. "A new and efficient heuristic for scheduling projects with resource restrictions and multiple execution modes," European Journal of Operational Research, Elsevier, vol. 90(2), pages 349-361, April.
    23. Li, K. Y. & Willis, R. J., 1992. "An iterative scheduling technique for resource-constrained project scheduling," European Journal of Operational Research, Elsevier, vol. 56(3), pages 370-379, February.
    24. 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.
    25. Peteghem, Vincent Van & Vanhoucke, Mario, 2010. "A genetic algorithm for the preemptive and non-preemptive multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 201(2), pages 409-418, March.
    26. Mori, Masao & Tseng, Ching Chih, 1997. "A genetic algorithm for multi-mode resource constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 100(1), pages 134-141, July.
    27. Salewski, Frank & Schirmer, Andreas & Drexl, Andreas, 1997. "Project scheduling under resource and mode identity constraints: Model, complexity, methods, and application," European Journal of Operational Research, Elsevier, vol. 102(1), pages 88-110, October.
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    Cited by:

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    2. Ilkyeong Moon & Sanghyup Lee & Moonsoo Shin & Kwangyeol Ryu, 2016. "Evolutionary resource assignment for workload-based production scheduling," Journal of Intelligent Manufacturing, Springer, vol. 27(2), pages 375-388, April.
    3. 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.
    4. Angione, Claudio & Occhipinti, Annalisa & Stracquadanio, Giovanni & Nicosia, Giuseppe, 2013. "Bose–Einstein condensation in satisfiability problems," European Journal of Operational Research, Elsevier, vol. 227(1), pages 44-54.
    5. Nima Zoraghi & Aria Shahsavar & Babak Abbasi & Vincent Peteghem, 2017. "Multi-mode resource-constrained project scheduling problem with material ordering under bonus–penalty policies," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(1), pages 49-79, April.
    6. Messelis, Tommy & De Causmaecker, Patrick, 2014. "An automatic algorithm selection approach for the multi-mode resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 233(3), pages 511-528.
    7. 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.
    8. Guillermo Campos Ciro & Frédéric Dugardin & Farouk Yalaoui & Russell Kelly, 2016. "Open shop scheduling problem with a multi-skills resource constraint: a genetic algorithm and an ant colony optimisation approach," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 4854-4881, August.
    9. Bruno Vieira & Derya Demirtas & Jeroen B. Kamer & Erwin W. Hans & Louis-Martin Rousseau & Nadia Lahrichi & Wim H. Harten, 2020. "Radiotherapy treatment scheduling considering time window preferences," Health Care Management Science, Springer, vol. 23(4), pages 520-534, December.
    10. Van Peteghem, Vincent & Vanhoucke, Mario, 2014. "An experimental investigation of metaheuristics for the multi-mode resource-constrained project scheduling problem on new dataset instances," European Journal of Operational Research, Elsevier, vol. 235(1), pages 62-72.
    11. Vanhoucke, Mario & Coelho, José, 2016. "An approach using SAT solvers for the RCPSP with logical constraints," European Journal of Operational Research, Elsevier, vol. 249(2), pages 577-591.
    12. Zamani, Reza, 2013. "A competitive magnet-based genetic algorithm for solving the resource-constrained project scheduling problem," European Journal of Operational Research, Elsevier, vol. 229(2), pages 552-559.
    13. Martin Josef Geiger & Sandra Huber & Sebastian Langton & Marius Leschik & Christian Lindorf & Ulrich Tüshaus, 2018. "Multi-attribute assignment of trains to departures in rolling stock management," Annals of Operations Research, Springer, vol. 271(2), pages 1131-1163, December.
    14. Gómez Sánchez, Mariam & Lalla-Ruiz, Eduardo & Fernández Gil, Alejandro & Castro, Carlos & Voß, Stefan, 2023. "Resource-constrained multi-project scheduling problem: A survey," European Journal of Operational Research, Elsevier, vol. 309(3), pages 958-976.
    15. 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.
    16. 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.
    17. Zahid, Taiba & Kühn, Mathias & Völker, Michael & Schmidt, Thorsten, 2015. "Investigation of Scheduling Techniques for Uncertain Conditions," Chapters from the Proceedings of the Hamburg International Conference of Logistics (HICL), in: Blecker, Thorsten & Kersten, Wolfgang & Ringle, Christian M. (ed.), Operational Excellence in Logistics and Supply Chains: Optimization Methods, Data-driven Approaches and Security Insights. Proceedings of the Hamburg , volume 22, pages 171-202, Hamburg University of Technology (TUHH), Institute of Business Logistics and General Management.
    18. He, Naihui & Zhang, David Z. & Yuce, Baris, 2022. "Integrated multi-project planning and scheduling - a multiagent approach," European Journal of Operational Research, Elsevier, vol. 302(2), pages 688-699.

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    Keywords

    project scheduling; SAT; multi-mode RCPSP;
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