A class of random fuzzy programming and its application to supply chain design
Xu, Jiuping1; He, Yanan2; Gen, Mistsuo3
AbstractSupply chain design problems have recently raised a lot of interest since the opportunity of an integrated management of the supply chain can reduce the propagation of undesirable events through the network and can affect decisively the profitability of the members. Often uncertainties may be associated with demand, supply or various relevant costs. hi most of the existing models uncertainties are treated as randomness and are handled by appealing to probability theory. However, in certain situations uncertainties are due to random fuzziness and in these case the random fuzzy programming is applicable, while no attempt has been made to define those uncertain parameters as random fuzzy variables. We propose a random fuzzy programming model and a methodology for solving a multi-stage supply chain design problem of a realistic scale in the random fuzzy environment. Based on the concept of random fuzzy variable, we use probability theory, fuzzy set theory and optimizing theory as our research tool. At a given possibility a, we provide an auxiliary programming model of the random fuzzy programming and convert it to a deterministic mixed 0 1 integer programming model, of which the optimal solutions Eire proved to exist. Then we present a novel technique called spanning-tree based oil genetic algorithm (st-GA) to get the heuristic solutions. A computational example involving a relatively large supply chain is presented to highlight the significance of the random fuzzy model as well as the effectiveness of the proposed solution method. Random fuzzy variable is a very useful tool to describe the uncertain parameters and our methodology may be applied to any optimization problems with random fuzzy factors. (C) 2008 Elsevier Ltd. All rights reserved.
KeywordRandom fuzzy variable Random fuzzy programming Supply chain design st-GA
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Interdisciplinary Applications ; Engineering, Industrial
WOS IDWOS:000264463500011
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Document Type期刊论文
Corresponding AuthorXu, Jiuping
Affiliation1.Sichuan Univ, Sch Business & Adm, Uncertainty Decis Making Lab, Chengdu 610064, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Waseda Univ, Grad Sch Informat Prod & Syst, Kitakyushu, Fukuoka 8080315, Japan
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GB/T 7714
Xu, Jiuping,He, Yanan,Gen, Mistsuo. A class of random fuzzy programming and its application to supply chain design[J]. COMPUTERS & INDUSTRIAL ENGINEERING,2009,56(3):937-950.
APA Xu, Jiuping,He, Yanan,&Gen, Mistsuo.(2009).A class of random fuzzy programming and its application to supply chain design.COMPUTERS & INDUSTRIAL ENGINEERING,56(3),937-950.
MLA Xu, Jiuping,et al."A class of random fuzzy programming and its application to supply chain design".COMPUTERS & INDUSTRIAL ENGINEERING 56.3(2009):937-950.
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