A class of random fuzzy programming and its application to supply chain design

doi:10.1016/j.cie.2008.09.045

CSpace

	A class of random fuzzy programming and its application to supply chain design
	Xu, Jiuping 1; He, Yanan 2; Gen, Mistsuo 3
	2009-04-01
发表期刊	COMPUTERS & INDUSTRIAL ENGINEERING
ISSN	0360-8352
卷号	56 期号:3 页码:937-950
摘要	Supply 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.
关键词	Random fuzzy variable Random fuzzy programming Supply chain design st-GA
DOI	10.1016/j.cie.2008.09.045
语种	英语
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Interdisciplinary Applications ; Engineering, Industrial
WOS记录号	WOS:000264463500011
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8426
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Jiuping
作者单位	1.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
推荐引用方式 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.