STRATEGIC DESIGN OF MECHANICAL SYSTEMS IN THE NON-COOPERATIVE ENVIRONMENT USING THE GAME THEORY

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AHMADI BAHMAN; NARIMAN ZADEH NADER; JAMALI ALI

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Journal: Modares Mechanical Engineering Year:2016 | Volume:16 | Issue:7 Page(s): 317-326

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Title

STRATEGIC DESIGN OF MECHANICAL SYSTEMS IN THE NON-COOPERATIVE ENVIRONMENT USING THE GAME THEORY

Author(s)

AHMADI BAHMAN | NARIMAN ZADEH NADER | JAMALI ALI | Issue Writer Certificate

Keywords

MECHANICAL DESIGNQ1

OPTIMIZATIONQ2

GENETIC PROGRAMMINGQ1

GAME THEORYQ1

DECISION MAKINGQ3

Abstract

The design of complex mechanical systems usually involves multiple mutually coupled disciplines and competing objectives which require complicated and time-consuming interactive analysis during the design process. Multidisciplinary design OPTIMIZATION (MDO) is a systematic design methodology to improve the design efficiency of complex mechanical systems, specifically in non-cooperative design environments. On the other hand, GAME THEORY is a set of mathematical constructs that study the interaction between multiple intelligent rational decision makers. In this paper, a new game theoretic approach is proposed and applied for multi-objective MDO problems in non-cooperative design environments, considering the intrinsic similarity between the MDO and GAME THEORY. In this way, GENETIC PROGRAMMING is used as a surrogate to construct the approximate rational reaction sets (RRS) of players. Furthermore, in order to find the intersection of RRS of players in Nash game models, an objective function is proposed which should be minimized. The effectiveness of the proposed framework is demonstrated by the design of three case studies in the field of engineering design OPTIMIZATION in non-cooperative environment. The results show that the presented approach is able to approximate complicated RRS, and, in addition has the ability to find multiple Nash solutions when the Nash solution is not a singleton and generally found solutions better than those reported in the literature.

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APA: Copy

AHMADI, BAHMAN, NARIMAN ZADEH, NADER, & JAMALI, ALI. (2016). STRATEGIC DESIGN OF MECHANICAL SYSTEMS IN THE NON-COOPERATIVE ENVIRONMENT USING THE GAME THEORY. MODARES MECHANICAL ENGINEERING, 16(7), 317-326. SID. https://sid.ir/paper/178314/en

Vancouver: Copy

AHMADI BAHMAN, NARIMAN ZADEH NADER, JAMALI ALI. STRATEGIC DESIGN OF MECHANICAL SYSTEMS IN THE NON-COOPERATIVE ENVIRONMENT USING THE GAME THEORY. MODARES MECHANICAL ENGINEERING[Internet]. 2016;16(7):317-326. Available from: https://sid.ir/paper/178314/en

IEEE: Copy

BAHMAN AHMADI, NADER NARIMAN ZADEH, and ALI JAMALI, “STRATEGIC DESIGN OF MECHANICAL SYSTEMS IN THE NON-COOPERATIVE ENVIRONMENT USING THE GAME THEORY,” MODARES MECHANICAL ENGINEERING, vol. 16, no. 7, pp. 317–326, 2016, [Online]. Available: https://sid.ir/paper/178314/en

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