IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/66123.html
   My bibliography  Save this paper

Nouvelle caractérisation des solutions efficaces des problèmes d’optimisation combinatoire multi-objectif
[New characterization of efficient solution in multi-objective combinatorial optimization]

Author

Listed:
  • Okitonyumbe Y.F., Joseph
  • Ulungu, Berthold E.-L.

Abstract

Résume : Les méthodes de résolution d’un problème d’optimisation combinatoire multi-objectif sont classées en méthodes exactes et métaheuristiques. Cette dernière classe est plus compétitive que la première, permettant de résoudre des problèmes de plus grande taille. Mais la mise en application de ces méthodes exactes et métaheuristiques pose deux problèmes, à savoir : la caractérisation des solutions efficaces et les règles d’acceptation d’un système de voisinages. Le présent article essai d’apporter une contribution à la première préoccupation. Abstract : Methods for solving multi-objective combinatorial optimization problems are classified in two categories indeed exact and metaheuristics methods. The latter class is more competitive than the first, for solving larger problems, But the implementation of these exacts and metaheuristics methods presents two inherent difficulties namely the characterization of efficient solutions and acceptance rules for neighborhoods system. This article tackles the first problem.

Suggested Citation

  • Okitonyumbe Y.F., Joseph & Ulungu, Berthold E.-L., 2013. "Nouvelle caractérisation des solutions efficaces des problèmes d’optimisation combinatoire multi-objectif [New characterization of efficient solution in multi-objective combinatorial optimization]," MPRA Paper 66123, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:66123
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/66123/1/MPRA_paper_66123.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(5), pages 777-788, October.
    2. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(1), pages 151-160, February.
    3. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(4), pages 629-637, August.
    4. ,, 1999. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 15(3), pages 427-432, June.
    Full references (including those not matched with items on IDEAS)

    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. Krzysztof S. Targiel & Maciej Nowak & Tadeusz Trzaskalik, 2018. "Scheduling non-critical activities using multicriteria approach," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(3), pages 585-598, September.
    2. Amit Kumar & Anila Gupta, 2013. "Mehar’s methods for fuzzy assignment problems with restrictions," Fuzzy Information and Engineering, Springer, vol. 5(1), pages 27-44, March.
    3. Monica Motta & Caterina Sartori, 2020. "Normality and Nondegeneracy of the Maximum Principle in Optimal Impulsive Control Under State Constraints," Journal of Optimization Theory and Applications, Springer, vol. 185(1), pages 44-71, April.
    4. Chenchen Wu & Dachuan Xu & Donglei Du & Wenqing Xu, 2016. "An approximation algorithm for the balanced Max-3-Uncut problem using complex semidefinite programming rounding," Journal of Combinatorial Optimization, Springer, vol. 32(4), pages 1017-1035, November.
    5. Uzma Ashraf & Hassan Ali & Muhammad Nawaz Chaudry & Irfan Ashraf & Adila Batool & Zafeer Saqib, 2016. "Predicting the Potential Distribution of Olea ferruginea in Pakistan incorporating Climate Change by Using Maxent Model," Sustainability, MDPI, vol. 8(8), pages 1-11, July.
    6. World Bank, 2003. "Argentina : Reforming Policies and Institutions for Efficiency and Equity of Public Expenditures," World Bank Publications - Reports 14637, The World Bank Group.
    7. Brown, Jeffrey R., 2001. "Private pensions, mortality risk, and the decision to annuitize," Journal of Public Economics, Elsevier, vol. 82(1), pages 29-62, October.
    8. Mark Christensen, 2007. "What We Might Know (But Aren't Sure) About Public-Sector Accrual Accounting," Australian Accounting Review, CPA Australia, vol. 17(41), pages 51-65, March.
    9. Wong, Patricia J.Y., 2015. "Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 908-930.
    10. Norma M Rantisi & Deborah Leslie, 2021. "In and against the neoliberal state? The precarious siting of work integration social enterprises (WISEs) as counter-movement in Montreal, Quebec," Environment and Planning A, , vol. 53(2), pages 349-370, March.
    11. Brunekreeft, Gert, 2004. "Market-based investment in electricity transmission networks: controllable flow," Utilities Policy, Elsevier, vol. 12(4), pages 269-281, December.
    12. Dias, Luis C. & Lamboray, Claude, 2010. "Extensions of the prudence principle to exploit a valued outranking relation," European Journal of Operational Research, Elsevier, vol. 201(3), pages 828-837, March.
    13. Oloruntoba, Richard, 2010. "An analysis of the Cyclone Larry emergency relief chain: Some key success factors," International Journal of Production Economics, Elsevier, vol. 126(1), pages 85-101, July.
    14. Chein-Shan Liu & Zhuojia Fu & Chung-Lun Kuo, 2017. "Directional Method of Fundamental Solutions for Three-dimensional Laplace Equation," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 9(6), pages 112-123, December.
    15. Schulze, Eberhard & Tillack, Peter & Patlassov, Oleg, 2002. "Einflussfaktoren Auf Gewinn Und Rentabilität Landwirtschaftlicher Großbetriebe Gebiet Omsk, Russland," IAMO Discussion Papers 14919, Institute of Agricultural Development in Transition Economies (IAMO).
    16. Yao Wu & David Levinson, 2005. "The Rational Locator Reexamined," Working Papers 200503, University of Minnesota: Nexus Research Group.
    17. Kameng Nip & Zhenbo Wang & Zizhuo Wang, 2021. "Assortment Optimization under a Single Transition Choice Model," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2122-2142, July.
    18. B. S. C. Campello & C. T. L. S. Ghidini & A. O. C. Ayres & W. A. Oliveira, 2022. "A residual recombination heuristic for one-dimensional cutting stock problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 194-220, April.
    19. Koijen, R.S.J. & Nijman, T.E. & Werker, B.J.M., 2006. "Optimal Portfolio Choice with Annuitization," Discussion Paper 2006-78, Tilburg University, Center for Economic Research.
    20. A. F. Izmailov & M. V. Solodov, 2002. "The Theory of 2-Regularity for Mappings with Lipschitzian Derivatives and its Applications to Optimality Conditions," Mathematics of Operations Research, INFORMS, vol. 27(3), pages 614-635, August.

    More about this item

    Keywords

    Mots clés : Ensemble des solutions efficaces (supportées et non); Espace de décisions; Espace des objectifs; Optimisation combinatoire multi-objectif. KEY WORDS : Decision space; Set of efficient solution (supported or non-supported); Multi-objective combinatorial optimization; Objective space.;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    Statistics

    Access and download statistics

    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:pra:mprapa:66123. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.