Multiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game Theory

Aiming at the optimization problem of multiple objectives with contradictions and conflicts in the process of allocating the tolerance for complex products, taking advantage of the features of coordinating, and balancing contradictions and conflicts of cooperative game theory, this paper uses cooper...

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Autores principales:	Li-li Li, Kun Chen, Jian-min Gao, Jun-kong Liu, Zhi-yong Gao, Man-xian Wang
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/e063129dfe36412da5e83d60376798a0
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spelling	oai:doaj.org-article:e063129dfe36412da5e83d60376798a02021-11-29T00:55:33ZMultiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game Theory1875-920310.1155/2021/9244389https://doaj.org/article/e063129dfe36412da5e83d60376798a02021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9244389https://doaj.org/toc/1875-9203Aiming at the optimization problem of multiple objectives with contradictions and conflicts in the process of allocating the tolerance for complex products, taking advantage of the features of coordinating, and balancing contradictions and conflicts of cooperative game theory, this paper uses cooperative game theory to solve the multiobjective optimization problem of tolerance allocation. The quality requirements and cost requirements of assembly products are used as the game decision parties, and the fuzzy clustering method is used to group the design variables of tolerance allocation problem of the steam turbine to form the strategic space of game parties. Take the quality level and cost level of the assembly product as the optimization goals, complete the calculation of the utilities of the two game parties, and establish the multiobjective optimization model of tolerance allocation based on cooperative game theory. Finally, the Shapley value method based on cooperative game theory, the Nash equilibrium method based on noncooperative game theory, and the traditional single-objective optimization method with the quality as the constraint and the cost as the optimization objective are used to solve the tolerance allocation problem of steam turbine. The solution results show that the method of cooperative game realized the balance, coordination, and comprehensive optimization of the quality and cost from the perspective of collective interests, overcame the shortcomings of the traditional single-objective optimization method, and obtained better result than the Nash equilibrium method.Li-li LiKun ChenJian-min GaoJun-kong LiuZhi-yong GaoMan-xian WangHindawi LimitedarticlePhysicsQC1-999ENShock and Vibration, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Li-li Li Kun Chen Jian-min Gao Jun-kong Liu Zhi-yong Gao Man-xian Wang Multiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game Theory
description	Aiming at the optimization problem of multiple objectives with contradictions and conflicts in the process of allocating the tolerance for complex products, taking advantage of the features of coordinating, and balancing contradictions and conflicts of cooperative game theory, this paper uses cooperative game theory to solve the multiobjective optimization problem of tolerance allocation. The quality requirements and cost requirements of assembly products are used as the game decision parties, and the fuzzy clustering method is used to group the design variables of tolerance allocation problem of the steam turbine to form the strategic space of game parties. Take the quality level and cost level of the assembly product as the optimization goals, complete the calculation of the utilities of the two game parties, and establish the multiobjective optimization model of tolerance allocation based on cooperative game theory. Finally, the Shapley value method based on cooperative game theory, the Nash equilibrium method based on noncooperative game theory, and the traditional single-objective optimization method with the quality as the constraint and the cost as the optimization objective are used to solve the tolerance allocation problem of steam turbine. The solution results show that the method of cooperative game realized the balance, coordination, and comprehensive optimization of the quality and cost from the perspective of collective interests, overcame the shortcomings of the traditional single-objective optimization method, and obtained better result than the Nash equilibrium method.
format	article
author	Li-li Li Kun Chen Jian-min Gao Jun-kong Liu Zhi-yong Gao Man-xian Wang
author_facet	Li-li Li Kun Chen Jian-min Gao Jun-kong Liu Zhi-yong Gao Man-xian Wang
author_sort	Li-li Li
title	Multiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game Theory
title_short	Multiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game Theory
title_full	Multiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game Theory
title_fullStr	Multiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game Theory
title_full_unstemmed	Multiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game Theory
title_sort	multiobjective optimization method and application of tolerance allocation for the steam turbine based on cooperative game theory
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/e063129dfe36412da5e83d60376798a0
work_keys_str_mv	AT lilili multiobjectiveoptimizationmethodandapplicationoftoleranceallocationforthesteamturbinebasedoncooperativegametheory AT kunchen multiobjectiveoptimizationmethodandapplicationoftoleranceallocationforthesteamturbinebasedoncooperativegametheory AT jianmingao multiobjectiveoptimizationmethodandapplicationoftoleranceallocationforthesteamturbinebasedoncooperativegametheory AT junkongliu multiobjectiveoptimizationmethodandapplicationoftoleranceallocationforthesteamturbinebasedoncooperativegametheory AT zhiyonggao multiobjectiveoptimizationmethodandapplicationoftoleranceallocationforthesteamturbinebasedoncooperativegametheory AT manxianwang multiobjectiveoptimizationmethodandapplicationoftoleranceallocationforthesteamturbinebasedoncooperativegametheory
_version_	1718407803870117888

Multiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game Theory

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