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Chance Constrained Maximum Flow Problem with Fuzzy Arc Capacities

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Computational Intelligence (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4114))

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Abstract

This paper considers a generalized fuzzy version of maximum flow problem in which arc capacities are fuzzy variables. The problem is to find a maximum flow under some chance constraints with respect to credibility measure of arc flow of network. Some crisp equivalents of fuzzy chance constraints are presented when the fuzzy capacities are characterized by trapezoidal fuzzy numbers and general fuzzy numbers respectively. Furthermore, a genetic algorithm is used to solve the maximum flow with these crisp equivalents. Finally, a numerical example is provided for the effectiveness of the model and algorithm.

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Author information

Authors and Affiliations

  1. School of Business, Renmin University of China, Beijing, 100872, China

    Xiaoyu Ji

  2. School of Traffic and Transportation, Beijing Jiaotong University, Beijing, 100044, China

    Lixing Yang

  3. School of Management, Graduate School of the Chinese Academy of Sciences, Beijing, 100080, China

    Zhen Shao

Authors
  1. Xiaoyu Ji
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  2. Lixing Yang
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  3. Zhen Shao
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Editor information

Editors and Affiliations

  1. Institute of Intelligent Machines , Chinese Academy of Sciences , Anhui, Hefei, China

    De-Shuang Huang

  2. Queen’s University , Belfast, UK

    Kang Li  & George William Irwin  & 

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© 2006 Springer-Verlag Berlin Heidelberg

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Cite this paper

Ji, X., Yang, L., Shao, Z. (2006). Chance Constrained Maximum Flow Problem with Fuzzy Arc Capacities. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence. ICIC 2006. Lecture Notes in Computer Science(), vol 4114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37275-2_2

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  • DOI: https://doi.org/10.1007/978-3-540-37275-2_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37274-5

  • Online ISBN: 978-3-540-37275-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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