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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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/9244389 |
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| _version_ | 1850166310463340544 |
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| 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 |
| collection | DOAJ |
| 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 |
| id | doaj-art-e063129dfe36412da5e83d60376798a0 |
| institution | OA Journals |
| issn | 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-e063129dfe36412da5e83d60376798a02025-08-20T02:21:29ZengWileyShock and Vibration1875-92032021-01-01202110.1155/2021/9244389Multiobjective Optimization Method and Application of Tolerance Allocation for the Steam Turbine Based on Cooperative Game TheoryLi-li Li0Kun Chen1Jian-min Gao2Jun-kong Liu3Zhi-yong Gao4Man-xian Wang5State Key Laboratory of Mechanical Manufacturing Systems EngineeringState Key Laboratory of Mechanical Manufacturing Systems EngineeringState Key Laboratory of Mechanical Manufacturing Systems EngineeringState Key Laboratory of Mechanical Manufacturing Systems EngineeringState Key Laboratory of Mechanical Manufacturing Systems EngineeringAECC Xi’an Aero-Engine Ltd.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.http://dx.doi.org/10.1155/2021/9244389 |
| spellingShingle | 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 Shock and Vibration |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/9244389 |
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