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Mathematical Problems in Engineering
Volume 2012, Article ID 808161, 15 pages
Research Article

Bi-Objective Optimization Method and Application of Mechanism Design Based on Pigs' Payoff Game Behavior

School of Mechanical Engineering, Anhui University of Technology, Maanshan, Anhui Province 243002, China

Received 13 August 2012; Revised 24 October 2012; Accepted 25 October 2012

Academic Editor: Peng Shi

Copyright © 2012 Lu Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


It takes two design goals as different game players and design variables are divided into strategy spaces owned by corresponding game player by calculating the impact factor and fuzzy clustering. By the analysis of behavior characteristics of two kinds of intelligent pigs, the big pig's behavior is cooperative and collective, but the small pig's behavior is noncooperative, which are endowed with corresponding game player. Two game players establish the mapping relationship between game players payoff functions and objective functions. In their own strategy space, each game player takes their payoff function as monoobjective for optimization. It gives the best strategy upon other players. All the best strategies are combined to be a game strategy set. With convergence and multiround game, the final game solution is obtained. Taking bi-objective optimization of luffing mechanism of compensative shave block, for example, the results show that the method can effectively solve bi-objective optimization problems with preferred target and the efficiency and accuracy are also well.