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Cooperative metaheuristics for the permutation flowshop scheduling problem

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  • Vallada, Eva
  • Ruiz, Rubén

Abstract

In this work, we propose cooperative metaheuristic methods for the permutation flowshop scheduling problem considering two objectives separately: total tardiness and makespan. We use the island model where each island runs an instance of the algorithm and communications start when the islands have reached certain level of evolution, that is, communication is not allowed from the beginning of the execution. Subsequent ones occur when new better solutions are found. We carry out an exhaustive comparison of the cooperative methods against the sequential counterparts running in completely comparable scenarios. Results have been carefully analysed by means of statistical procedures and we can conclude that the cooperative methods yield much better results than the sequential algorithms and state-of-the-art methods running in the same number of processors but without communications. The proposed cooperative schemes are easy to apply to other algorithms and problems.

Suggested Citation

  • Vallada, Eva & Ruiz, Rubén, 2009. "Cooperative metaheuristics for the permutation flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 193(2), pages 365-376, March.
  • Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:365-376
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    References listed on IDEAS

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    1. Taillard, E., 1993. "Benchmarks for basic scheduling problems," European Journal of Operational Research, Elsevier, vol. 64(2), pages 278-285, January.
    2. Kim, Yeong-Dae & Lim, Hyeong-Gyu & Park, Moon-Won, 1996. "Search heuristics for a flowshop scheduling problem in a printed circuit board assembly process," European Journal of Operational Research, Elsevier, vol. 91(1), pages 124-143, May.
    3. Onwubolu, Godfrey & Davendra, Donald, 2006. "Scheduling flow shops using differential evolution algorithm," European Journal of Operational Research, Elsevier, vol. 171(2), pages 674-692, June.
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    5. Ruiz, Rubén & Maroto, Concepciøn & Alcaraz, Javier, 2006. "Two new robust genetic algorithms for the flowshop scheduling problem," Omega, Elsevier, vol. 34(5), pages 461-476, October.
    6. Ruiz, Ruben & Maroto, Concepcion, 2005. "A comprehensive review and evaluation of permutation flowshop heuristics," European Journal of Operational Research, Elsevier, vol. 165(2), pages 479-494, September.
    7. Ruiz, Ruben & Stutzle, Thomas, 2007. "A simple and effective iterated greedy algorithm for the permutation flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 177(3), pages 2033-2049, March.
    8. Gupta, Jatinder N.D. & Stafford, Edward Jr., 2006. "Flowshop scheduling research after five decades," European Journal of Operational Research, Elsevier, vol. 169(3), pages 699-711, March.
    9. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    10. Rajendran, Chandrasekharan & Ziegler, Hans, 2004. "Ant-colony algorithms for permutation flowshop scheduling to minimize makespan/total flowtime of jobs," European Journal of Operational Research, Elsevier, vol. 155(2), pages 426-438, June.
    11. Tseng, Fan T. & Stafford, Edward F. & Gupta, Jatinder N. D., 2004. "An empirical analysis of integer programming formulations for the permutation flowshop," Omega, Elsevier, vol. 32(4), pages 285-293, August.
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    Cited by:

    1. Choi, Byung-Cheon & Lee, Kangbok & Leung, Joseph Y.-T. & Pinedo, Michael L., 2010. "Flow shops with machine maintenance: Ordered and proportionate cases," European Journal of Operational Research, Elsevier, vol. 207(1), pages 97-104, November.
    2. Yenisey, Mehmet Mutlu & Yagmahan, Betul, 2014. "Multi-objective permutation flow shop scheduling problem: Literature review, classification and current trends," Omega, Elsevier, vol. 45(C), pages 119-135.
    3. Ruiz-Torres, Alex J. & Ho, Johnny C. & Ablanedo-Rosas, José H., 2011. "Makespan and workstation utilization minimization in a flowshop with operations flexibility," Omega, Elsevier, vol. 39(3), pages 273-282, June.
    4. Naderi, Bahman & Ruiz, Rubén, 2014. "A scatter search algorithm for the distributed permutation flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 239(2), pages 323-334.
    5. Li, Xiaoping & Chen, Long & Xu, Haiyan & Gupta, Jatinder N.D., 2015. "Trajectory Scheduling Methods for minimizing total tardiness in a flowshop," Operations Research Perspectives, Elsevier, vol. 2(C), pages 13-23.
    6. Pan, Quan-Ke & Ruiz, Rubén, 2014. "An effective iterated greedy algorithm for the mixed no-idle permutation flowshop scheduling problem," Omega, Elsevier, vol. 44(C), pages 41-50.
    7. Vallada, Eva & Ruiz, Rubén & Framinan, Jose M., 2015. "New hard benchmark for flowshop scheduling problems minimising makespan," European Journal of Operational Research, Elsevier, vol. 240(3), pages 666-677.

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