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Employing “Particle Swarm Optimization” and “Fuzzy Ranking Functions” for Direct Solution of EOQ Problem

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Modelling, Computation and Optimization in Information Systems and Management Sciences (MCO 2008)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 14))

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Abstract

Primary objective of this study is to show how fuzzy optimization models can be solved directly by employing metaheuristics and ranking methods without requiring a transformation into a crisp model. In this study, a fuzzy multi-item Economic Order Quantity (EOQ) model with two constraints is solved directly (without any transformation process) by employing three different fuzzy ranking functions and the Particle Swarm Optimization (PSO) metaheuristic. The parameters of the problem are defined as symmetric triangular fuzzy numbers. Having fuzzy parameters, the objective function values of the generated solution vectors also will be fuzzy numbers. Therefore, in the selection of the best solution vector, ranking of fuzzy numbers is used. Similarly, the feasibility of the constraints for the generated solution vectors will be determined via ranking of two fuzzy numbers. By this approach other fuzzy optimization problems can be solved without any transformation process.

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Author information

Authors and Affiliations

  1. Department of Industrial Engineering, University of Gaziantep, Gaziantep, Turkey

    Adil Baykasoğlu & Tolunay Göçken

Authors
  1. Adil Baykasoğlu
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  2. Tolunay Göçken
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Editor information

Editors and Affiliations

  1. Laboratory of Theoretical and Applied Computer Science, UFR MIM,, Paul Verlaine University of Metz, Metz, France

    Hoai An Le Thi

  2. Faculty of Sciences, Technology and Communications, University of Luxembourg, Luxembourg

    Pascal Bouvry

  3. Laboratory of Mathematics, National Institute for Applied Sciences, Rouen Mont, Saint Aignan, France

    Tao Pham Dinh

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© 2008 Springer-Verlag Berlin Heidelberg

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Baykasoğlu, A., Göçken, T. (2008). Employing “Particle Swarm Optimization” and “Fuzzy Ranking Functions” for Direct Solution of EOQ Problem. In: Le Thi, H.A., Bouvry, P., Pham Dinh, T. (eds) Modelling, Computation and Optimization in Information Systems and Management Sciences. MCO 2008. Communications in Computer and Information Science, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87477-5_4

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  • DOI: https://doi.org/10.1007/978-3-540-87477-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87476-8

  • Online ISBN: 978-3-540-87477-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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