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Hybrid multilevel programming with uncertain random parameters

delete2014-10-19
delete13
PRE
AI
柯华 封面图
柯华 (Hua Ke)
J
Junjie Ma *
田广东 封面图
田广东 (Guangdong Tian)
DOI:10.1007/s10845-014-0985-5delete
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摘要

摘要

En 中文
Multilevel programming is developed for modeling decentralized decision-making processes. For different management requirements and risk tolerances of different-level decision-makers, the decision-making criteria applied in different levels cannot be always the same. In this paper, a hybrid multilevel programming model with uncertain random parameters based on expected value model (EVM) and dependent-chance programming (DCP), named as EVM-DCP hybrid multilevel programming, is proposed. The corresponding concepts of Nash equilibrium and Stackelberg-Nash equilibrium are given. For some special case, an equivalent crisp mathematical programming is proposed. An approach integrating uncertain random simulations, Nash equilibrium searching approach and genetic algorithm is designed. Finally, a numerical experiment of uncertain random supply chain pricing decision problem is given.
Keyword:
Multilevel programming
Uncertain variable
Uncertain random programming
Dependent-chance programming
Expected value model
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期刊

Journal of Intelligent Manufacturing 封面图
Journal of Intelligent Manufacturing
IF:
7.4
论文数:
3.5K
被引数:
1.1W

机构

N
northeast forestry university - china
学者数:
1.2W
论文数: 7.9K
被引数: 9
T
tongji university
学者数:
7.9W
论文数: 6.0W
被引数: 98
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