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A Stackelberg Location on a Network with Fuzzy Random Demand Quantities Using Possibility Measure

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Intelligent Decision Technologies

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 15))

Abstract

This paper focuses on a competitive facility location problem between leader and follower on a network with demands whose weights are given uncertainly and vaguely. By representing them as fuzzy random variables, the optimal location problem can be formulated as a fuzzy random programming problem for finding Stackelberg equilibrium. For solving the problem, it is reformulated as the problem to find the optimal solutions maximizing a degree of possibility under some chance constraint for the leader. Theorems for its complexity are shown based upon the characteristics of the facility location.

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Author information

Authors and Affiliations

  1. Institute of Socio-Arts and Sciences, The University of Tokushima, 1-1, Minamijosanjima-cho, Tokushima-shi, Tokushima, 770-8502, Japan

    Takeshi Uno

  2. Graduate School of Engineering, Hiroshima University, 1-4-1, Kagamiyama, Higashihiroshima-shi, Hiroshima, 739-8527, Japan

    Hideki Katagiri

  3. Faculty of Applied Information Science, Hiroshima Institute of Technology, 2-1-1, Miyake, Saeki-ku, Hiroshima, 731-5193, Japan

    Kosuke Kato

Authors
  1. Takeshi Uno
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  2. Hideki Katagiri
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  3. Kosuke Kato
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Corresponding author

Correspondence to Takeshi Uno .

Editor information

Editors and Affiliations

  1. Graduate School of Information,, Production & Systems (IPS), Waseda University, Hibikino 2-7, Kitakyushu, 808-0135, Japan

    Junzo Watada

  2. Graduate School of Information Science, Nagoya University, Furo-cho, Nagoya, 464-8601, Japan

    Toyohide Watanabe

  3. Sellinger School of Business and, Management, Loyola University Maryland, Charles Street 4501 N, Baltimore, 21210, USA

    Gloria Phillips-Wren

  4. KES International, PO Box 2115, Shoreham-by-Sea, BN43 9AF, United Kingdom

    Robert J. Howlett

  5. , School of Electrical and Information, University of South Australia, 5095, Adelaide, Australia

    Lakhmi C. Jain

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© 2012 Springer-Verlag Berlin Heidelberg

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Uno, T., Katagiri, H., Kato, K. (2012). A Stackelberg Location on a Network with Fuzzy Random Demand Quantities Using Possibility Measure. In: Watada, J., Watanabe, T., Phillips-Wren, G., Howlett, R., Jain, L. (eds) Intelligent Decision Technologies. Smart Innovation, Systems and Technologies, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29977-3_7

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  • DOI: https://doi.org/10.1007/978-3-642-29977-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29976-6

  • Online ISBN: 978-3-642-29977-3

  • eBook Packages: EngineeringEngineering (R0)

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