IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v76y2008i5p447-462.html
   My bibliography  Save this article

Choquet integral for criteria aggregation in the flexible job-shop scheduling problems

Author

Listed:
  • Saad, Ihsen
  • Hammadi, Slim
  • Benrejeb, Mohamed
  • Borne, Pierre

Abstract

Most complex scheduling problems are combinatorial problems and difficult to solve. That is why, several methods focus on the optimization according to a single criterion such as makespan, workloads of machines, waiting times, etc. In this paper, the Choquet integral is introduced as a general tool for dealing with multiple criteria decision making and used in optimization flexible job-shop scheduling problems. The considered optimization problem is based of the Genetic Algorithm (GA) used as objective function the Choquet integral for criteria aggregation. Then lower bounds are defined for each criterion. Presented examples illustrate theoretical considerations and show the efficiency of the proposed approach.

Suggested Citation

  • Saad, Ihsen & Hammadi, Slim & Benrejeb, Mohamed & Borne, Pierre, 2008. "Choquet integral for criteria aggregation in the flexible job-shop scheduling problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(5), pages 447-462.
    • Handle: RePEc:eee:matcom:v:76:y:2008:i:5:p:447-462
    DOI: 10.1016/j.matcom.2007.04.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475407001905
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2007.04.010?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kacem, Imed & Hammadi, Slim & Borne, Pierre, 2002. "Pareto-optimality approach for flexible job-shop scheduling problems: hybridization of evolutionary algorithms and fuzzy logic," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 60(3), pages 245-276.
    2. Grabisch, Michel, 1996. "The application of fuzzy integrals in multicriteria decision making," European Journal of Operational Research, Elsevier, vol. 89(3), pages 445-456, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gheisariha, Elmira & Tavana, Madjid & Jolai, Fariborz & Rabiee, Meysam, 2021. "A simulation–optimization model for solving flexible flow shop scheduling problems with rework and transportation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 152-178.
    2. Baykasoglu, Adil & ÖzbakIr, Lale, 2010. "Analyzing the effect of dispatching rules on the scheduling performance through grammar based flexible scheduling system," International Journal of Production Economics, Elsevier, vol. 124(2), pages 369-381, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Michel Grabisch, 2015. "Fuzzy Measures and Integrals: Recent Developments," Post-Print hal-01302377, HAL.
    2. Bingke Yan & Bo Wang & Lin Zhu & Hesen Liu & Yilu Liu & Xingpei Ji & Dichen Liu, 2015. "A Novel, Stable, and Economic Power Sharing Scheme for an Autonomous Microgrid in the Energy Internet," Energies, MDPI, vol. 8(11), pages 1-24, November.
    3. Jacomine Grobler & Andries Engelbrecht & Schalk Kok & Sarma Yadavalli, 2010. "Metaheuristics for the multi-objective FJSP with sequence-dependent set-up times, auxiliary resources and machine down time," Annals of Operations Research, Springer, vol. 180(1), pages 165-196, November.
    4. Bottero, M. & Ferretti, V. & Figueira, J.R. & Greco, S. & Roy, B., 2018. "On the Choquet multiple criteria preference aggregation model: Theoretical and practical insights from a real-world application," European Journal of Operational Research, Elsevier, vol. 271(1), pages 120-140.
    5. Christophe Labreuche & Michel Grabisch, 2016. "A comparison of the GAI model and the Choquet integral with respect to a k-ary capacity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01277825, HAL.
    6. Baykasoglu, Adil & ÖzbakIr, Lale, 2010. "Analyzing the effect of dispatching rules on the scheduling performance through grammar based flexible scheduling system," International Journal of Production Economics, Elsevier, vol. 124(2), pages 369-381, April.
    7. Grabisch, Michel & Labreuche, Christophe & Vansnick, Jean-Claude, 2003. "On the extension of pseudo-Boolean functions for the aggregation of interacting criteria," European Journal of Operational Research, Elsevier, vol. 148(1), pages 28-47, July.
    8. Mosmans, Alain & Praet, Jean-Claude & Dumont, Christophe, 2002. "A decision support system for the budgeting of the Belgian health care system," European Journal of Operational Research, Elsevier, vol. 139(2), pages 449-460, June.
    9. Grabisch, Michel & Labreuche, Christophe, 2018. "Monotone decomposition of 2-additive Generalized Additive Independence models," Mathematical Social Sciences, Elsevier, vol. 92(C), pages 64-73.
    10. Barnett, William A. & Han, Qing & Zhang, Jianbo, 2021. "Monetary services aggregation under uncertainty: A behavioral economics extension using Choquet expectation," Journal of Economic Behavior & Organization, Elsevier, vol. 182(C), pages 437-447.
    11. Angilella, Silvia & Greco, Salvatore & Matarazzo, Benedetto, 2010. "Non-additive robust ordinal regression: A multiple criteria decision model based on the Choquet integral," European Journal of Operational Research, Elsevier, vol. 201(1), pages 277-288, February.
    12. Anath Rau Krishnan & Siti Nur Aqilah & Maznah Mat Kasim & Engku Muhammad Nazri & Abdul Kamal Char, 2017. "A revised procedure to identify λ 0-measure values for applying Choquet integral in solving multi-attribute decision problems," OPSEARCH, Springer;Operational Research Society of India, vol. 54(3), pages 637-650, September.
    13. Tiejun Cheng & Qianli Xu & Fengping Wu, 2017. "Research on the adaptability evaluation model for emergency response plan based on 2-tuple linguistic," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 954-960, November.
    14. Wang, Chun-Hsien & Lu, Iuan-Yuan & Chen, Chin-Bein, 2010. "Integrating hierarchical balanced scorecard with non-additive fuzzy integral for evaluating high technology firm performance," International Journal of Production Economics, Elsevier, vol. 128(1), pages 413-426, November.
    15. Xiaoyang Yao & Enmeng Liu & Xiaolei Sun & Wei Le & Jianping Li, 2024. "Integrating external representations and internal patterns into dynamic multiple-criteria decision making," Annals of Operations Research, Springer, vol. 341(1), pages 149-172, October.
    16. Christophe Labreuche, 2018. "An axiomatization of the Choquet integral in the context of multiple criteria decision making without any commensurability assumption," Annals of Operations Research, Springer, vol. 271(2), pages 701-735, December.
    17. F. Huédé & M. Grabisch & C. Labreuche & P. Savéant, 2006. "MCS—A new algorithm for multicriteria optimisation in constraint programming," Annals of Operations Research, Springer, vol. 147(1), pages 143-174, October.
    18. Corrente, Salvatore & Greco, Salvatore & Ishizaka, Alessio, 2016. "Combining analytical hierarchy process and Choquet integral within non-additive robust ordinal regression," Omega, Elsevier, vol. 61(C), pages 2-18.
    19. Arcidiacono, Sally Giuseppe & Corrente, Salvatore & Greco, Salvatore, 2021. "Robust stochastic sorting with interacting criteria hierarchically structured," European Journal of Operational Research, Elsevier, vol. 292(2), pages 735-754.
    20. Labreuche, Christophe & Grabisch, Michel, 2006. "Generalized Choquet-like aggregation functions for handling bipolar scales," European Journal of Operational Research, Elsevier, vol. 172(3), pages 931-955, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:76:y:2008:i:5:p:447-462. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.