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A hybrid rank-based evolutionary algorithm applied to multi-mode resource-constrained project scheduling problem

  • Elloumi, Sonda
  • Fortemps, Philippe
Registered author(s):

    We consider the multi-mode resource-constrained project scheduling problem (MRCPSP), where a task has different execution modes characterized by different resource requirements. Due to the nonrenewable resources and the multiple modes, this problem is NP-hard; therefore, we implement an evolutionary algorithm looking for a feasible solution minimizing the makespan. In this paper, we propose and investigate two new ideas. On the one hand, we transform the problem of single objective MRCPSP to bi-objective one to cope with the potential violation of nonrenewable resource constraints. Relaxing the latter constraints allows to visit a larger solution set and thus to simplify the evolutionary operators. On the other hand, we build the fitness function not on a priori grid of the bi-objective space, but on an adaptive one relying on clustering techniques. This proposed idea aims at more relevant fitness values. We show that a clustering-based fitness function can be an appealing feature in multi-objective evolutionary algorithms since it may promote diversity and avoid premature convergence of the algorithms. Clustering heuristics require certainly computation time, but they are still competitive with respect to classical niche formation multi-objective genetic algorithm.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(09)00942-4
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 205 (2010)
    Issue (Month): 1 (August)
    Pages: 31-41

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    Handle: RePEc:eee:ejores:v:205:y:2010:i:1:p:31-41
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. De Reyck, Bert & Herroelen, Willy, 1999. "The multi-mode resource-constrained project scheduling problem with generalized precedence relations," European Journal of Operational Research, Elsevier, vol. 119(2), pages 538-556, December.
    2. Kolisch, Rainer, 1996. "Serial and parallel resource-constrained project scheduling methods revisited: Theory and computation," European Journal of Operational Research, Elsevier, vol. 90(2), pages 320-333, April.
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    8. 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.
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    10. 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.
    11. Bianco, L. & Dell'Olmo, P. & Grazia Speranza, M., 1998. "Heuristics for multimode scheduling problems with dedicated resources," European Journal of Operational Research, Elsevier, vol. 107(2), pages 260-271, June.
    12. 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.
    13. 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.
    14. 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.
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