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Fuzzy multi-level warehouse layout problem: New model and algorithm

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Abstract

This paper deals with a multi-level warehouse layout problem under fuzzy environment, in which different types of items need to be placed in a multi-level warehouse and the monthly demand of each item type and horizontal distance traveled by clamp track are treated as fuzzy variables. In order to minimize the total transportation cost, chance-constrained programming model is designed for the problem based on the credibility measure and then tabu search algorithm based on the fuzzy simulation is designed to solve the model. Some mathematical properties of the model are also discussed when the fuzzy variables are interval fuzzy numbers or trapezoidal fuzzy numbers. Finally, a numerical example is presented to show the efficiency of the algorithm.

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Author information

Authors and Affiliations

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

    Lixing Yang

  2. College of Mathematics & Physics, Beijing Institute of Petro-chemical Technology, Beijing, 102617, China

    Yuan Feng

Authors
  1. Lixing Yang
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  2. Yuan Feng
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Corresponding author

Correspondence to Lixing Yang.

Additional information

This research is supported by Rencai Foundation of Beijing Jiaotong University (No. 2005RC035), and Research Foundation of Beijing Jiaotong University (No. 2005SM028)

Lixing Yang was born in Hebei province in 1976, and received B.S. and M.S. degrees from College of Mathematics and Computer, Hebei University in 1999 and 2002, respectively. After have receiving Ph.D. degree from Tsinghua University in 2005, he came to Beijing Jiaotong University to be a lecturer. He has published more than ten papers up to now. His current research interests include uncertain programming, fuzzy measure theory, and intelligent systems, etc.

Yuan Feng was born in Hebei province in 1976, and received B.S. degree from Hebei Normal University in 1998. In 2002, she received M.S. degree from the College of Mathematics and Computer, Hebei University. After that, she came to College of Mathematics & Physics, Beijing Institute of Petro-chemical Technology. She has published more than ten papers up to now, and her current research interests include fuzzy measure theory, fuzzy programming, etc

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Yang, L., Feng, Y. Fuzzy multi-level warehouse layout problem: New model and algorithm. J. Syst. Sci. Syst. Eng. 15, 493–503 (2006). https://doi.org/10.1007/s11518-006-5017-3

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  • DOI: https://doi.org/10.1007/s11518-006-5017-3

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