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| An Evolutionary Algorithm Using Utility Function of MultiPlayer Gameas Evolution Directing Function |
| XU Min, ZHANG SiHai, WANG XuFa |
| Department of Computer Science and Technology, University of Science and Technology of China, Hefei 230027 |
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Abstract An evolutionary algorithm based on multiplayer noncooperation game is proposed to solve the combinatorial optimization problems, and the algorithm is modelled as a Markov chain. In this algorithm, combinatorial optimization problem is considered as an nperson game, and the solution of problem is optimized through agents’ rational behavior. A welldefined and expandable frame of the algorithm is constructed, and three constraints that the algorithm must satisfy are presented: finite constraint, weakly consistent constraint and convergent constraint. The algorithm is used to solve some typical NPComplete combinatorial optimization problems. The theoretical analysis and experimental results compared with other optimization algorithms show the proposed algorithm has a good ability of problem solving.
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Received: 15 July 2005
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2006, Vol. 19 
