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Uncertain Programming Model for Chinese Postman Problem with Uncertain Weights

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成果类型:
期刊论文
作者:
Bo Zhang;Jin Peng
作者机构:
[Bo Zhang] School of Mathematics and Statistics, Huazhong Normal University
[Jin Peng] Institute of Uncertain Systems, Huanggang Normal University
语种:
英文
关键词:
Chinese Postman Problem;Uncertainty Theory;Uncertain Programming
期刊:
Industrial Engineering and Management Systems
ISSN:
1598-7248
年:
2012
卷:
11
期:
1
页码:
18-25
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
IChinese postman problem is one of the classical combinatorial optimization problems with many applications. However, in application, some uncertain factors are frequently encountered. This paper employs uncertain programming to deal with Chinese postman problem with uncertain weight Within the framework of uncertainty theory, the concepts of expected shortest route, ${\alpha}$-shortest route, and distribution shortest route are proposed. After that, expected shortest model, and ${\alpha}$-shortest model are constructed. Taking advantage of properties of uncertainty theory, these models can be...

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