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Tabu search for discrete-continuous scheduling problems with heuristic continuous resource allocation

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  • Waligóra, Grzegorz

Abstract

Problems of scheduling non-preemptable, independent jobs on parallel identical machines under an additional continuous renewable resource to minimize the makespan are considered. Each job simultaneously requires for its processing a machine and an amount (unknown in advance) of the continuous resource. The processing rate of a job depends on the amount of the resource allotted to this job at a time. The problem is to find a sequence of jobs on machines and, simultaneously, a continuous resource allocation that minimize the makespan. A heuristic procedure for allocating the continuous resource is used. The tabu search metaheuristic to solve the considered problem is presented. The results produced by tabu search are compared with optimal solutions for small instances, as well as with the results generated by simple search methods - multi-start iterative improvement and random sampling for larger instances.

Suggested Citation

  • Waligóra, Grzegorz, 2009. "Tabu search for discrete-continuous scheduling problems with heuristic continuous resource allocation," European Journal of Operational Research, Elsevier, vol. 193(3), pages 849-856, March.
    • Handle: RePEc:eee:ejores:v:193:y:2009:i:3:p:849-856
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    References listed on IDEAS

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    1. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    2. Jozefowska, Joanna & Waligora, Grzegorz & Weglarz, Jan, 2002. "Tabu list management methods for a discrete-continuous scheduling problem," European Journal of Operational Research, Elsevier, vol. 137(2), pages 288-302, March.
    3. Jadranka Skorin-Kapov, 1990. "Tabu Search Applied to the Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 2(1), pages 33-45, February.
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    Cited by:

    1. F. Rodriguez & C. Blum & C. García-Martínez & M. Lozano, 2012. "GRASP with path-relinking for the non-identical parallel machine scheduling problem with minimising total weighted completion times," Annals of Operations Research, Springer, vol. 201(1), pages 383-401, December.
    2. He, Zhengwen & Liu, Renjing & Jia, Tao, 2012. "Metaheuristics for multi-mode capital-constrained project payment scheduling," European Journal of Operational Research, Elsevier, vol. 223(3), pages 605-613.

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