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Integrated Uncertainty Management and Applications pp 197–208Cite as

Single-Period Inventory Models with Fuzzy Shortage Costs Dependent on Random Demands

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 68))

Abstract

This paper considers single-period inventory models with fuzzy shortage costs dependent on discrete and continuous random demands considering the close relation between consumer’s demands and shortage costs. Since these inventory models include randomness and fuzziness, they are formulated as fuzzy random programming problems. Then, in order to deal with the uncertainty and find the optimal order quantity analytically, the solution approach is proposed using Yager’s ranking method with respect to the total expected future profit, and the strict solution is obtained. Furthermore, in order to compare with previous inventory models, basic random variables and fuzzy numbers are introduced, and differences between our proposed models and previous models are discussed.

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Author information

Authors and Affiliations

  1. Graduate School of Information Science and Technology, Osaka University, 2-1 Yamadaoka, Suita, Osaka, 565-0871, Japan

    Takashi Hasuike

  2. Graduate School of Information Science and Technology, Osaka University, 1-5 Yamadaoka, Suita, Osaka, 565-0871, Japan

    Hiroaki Ishii

Authors
  1. Takashi Hasuike
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  2. Hiroaki Ishii
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Editor information

Editors and Affiliations

  1. School of Knowledge Science, Japan Advanced Institute of Science and Technology, 1-1 Asahidai, Nomi, 923-1292, Ishikawa, Japan

    Van-Nam Huynh  & Yoshiteru Nakamori  & 

  2. Department of Engineering Mathematics, University of Bristol, Queen’s Building, University Walk, BS8 1TR, Bristol, United Kingdom

    Jonathan Lawry

  3. Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, 560-8531, Osaka, Japan

    Masahiro Inuiguchi

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Hasuike, T., Ishii, H. (2010). Single-Period Inventory Models with Fuzzy Shortage Costs Dependent on Random Demands. In: Huynh, VN., Nakamori, Y., Lawry, J., Inuiguchi, M. (eds) Integrated Uncertainty Management and Applications. Advances in Intelligent and Soft Computing, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11960-6_19

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  • DOI: https://doi.org/10.1007/978-3-642-11960-6_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11959-0

  • Online ISBN: 978-3-642-11960-6

  • eBook Packages: EngineeringEngineering (R0)

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