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Uncertain programming model for uncertain optimal assignment problem

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成果类型:
期刊论文
作者:
Zhang, Bo;Peng, Jin*
通讯作者:
Peng, Jin
作者机构:
[Zhang, Bo] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.
[Peng, Jin] Huanggang Normal Univ, Inst Uncertain Syst, Huanggang 438000, Hubei, Peoples R China.
通讯机构:
[Peng, Jin] H
Huanggang Normal Univ, Inst Uncertain Syst, Huanggang 438000, Hubei, Peoples R China.
语种:
英文
关键词:
Optimal assignment problem;Uncertainty theory;Uncertain programming;alpha-optimal model;Kuhn-Munkres algorithm
期刊:
Applied Mathematical Modelling
ISSN:
0307-904X
年:
2013
卷:
37
期:
9
页码:
6458-6468
基金类别:
This work is supported by the National Natural Science Foundation (No. 60874067 ), the Hubei Provincial Natural Science Foundation (No. 2010CDB02801 ), and the Scientific and Technological Innovation Team Project (No. T201110) of Hubei Provincial Department of Education, China .
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:
This paper employs uncertain programming to deal with uncertain optimal assignment problem in which profit is uncertain. Within the framework of uncertain programming, it gives the uncertainty distribution of the optimal assignment profit, and the concept of α-optimal assignment for uncertain optimal assignment problem is proposed. Then α-optimal model is also constructed. Taking advantage of properties of uncertainty theory, α-optimal model can be transformed into a corresponding deterministic form, which ca...

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