A novel bi-level decision-making approach based on game theory for mechanism design

作     者：Saeedi, Mohammed Saeed Jamali, Ali Nariman-Zadeh, Nader Ahmadi, Bahman 

作者机构：Univ Guilan Dept Mech Engn Univ Campus 2 Rasht Iran Univ Guilan Fac Mech Engn Dept Dynam Control & Vibrat POB 3756 Rasht Iran Univ Tehran Fac Engn Intelligent Based Expt Mech Ctr Excellence Sch Mech Engn Tehran Iran Univ Kurdistan Fac Engn Dept Mech Engn Erbil Iran 

出 版 物：《TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL》 (Trans Inst Meas Control)

年 卷 期：2025年第47卷第10期

页      面：2050-2062页

核心收录：

学科分类：08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 0811[工学-控制科学与工程] 081102[工学-检测技术与自动化装置] 

主　　题：Decision-making multi-objective optimization reliability-based robust design optimization game theory four-bar 

摘      要：This study addresses the bi-level multi-objective optimization problems raised in reliability-based robust design optimization (RBRDO) of engineering applications through establishing a state-of-the-art game theoretic scenario. A novel bi-level decentralized decision-making approach is proposed using the synergy of RBRDO, game theory, Monte Carlo simulation (MCS), and genetic programming (GP). The application of the proposed approach is elaborated in a case study of robust synthesis of high-speed path-generating four-bar mechanisms. The four performance criteria, namely, accuracy (TE), robustness ( mu TE and sigma 2 TE ), reliability (f G ) at the upper level, and quality of motion (TA) at the lower level are assigned to four players so that each of whom is in charge of one objective criterion. The peak input driving torque (T S ) is associated with the upper-level problem. The GP meta-model is used to capture the Stackelberg protocol that is, constructing the follower s rational reaction set (RRS) and the Nash bargaining function is hired to model the cooperative behavior. The obtained results show a considerable enhancement in reliability and robust behavior of mechanism, while the deterministic criteria of accuracy and quality of motion are preserved.