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人工鱼群算法的全局收敛性证明

黄光球 刘嘉飞 姚玉霞

计算机工程2012,Vol.38Issue(2):204-206,3.
计算机工程2012,Vol.38Issue(2):204-206,3.DOI:10.3969/j.issn.1000-3428.2012.02.067

人工鱼群算法的全局收敛性证明

Global Convergence Proof of Artificial Fish Swarm Algorithm

黄光球 1刘嘉飞 1姚玉霞1

作者信息

  • 1. 西安建筑科技大学管理学院,西安710055
  • 折叠

摘要

Abstract

This paper studies the Artificial Fish Swarm Algorithm(AFSA). The continuous search space is discretized based on the interval-value that each component of a feasible solution locates, each point in the discrete space is just a position state of an artificial fish, its energy(food density) is the objective function value at this point. The whole discrete space and the set of all artificial fishes are also divided into a series of non-empty subsets. During preying, swarming or following activities of artificial fishes, each artificial fish's transition probability from a position to another position can be simply calculated. Each position state corresponds to a state of a finite Markov chain, then the stability condition of a reducible stochastic matrix can be satisfied. In conclusion, the global convergence of AFSA is proved.

关键词

先进计算/人工鱼群算法/全局收敛性/有限Markov链

Key words

advanced computing/ Artificial Fish Swarm Algorithm(AFSA)/ global convergence/ finite Markov chainadvanced computing/ Artificial Fish Swarm Algorithm(AFSA)/ global convergence/ finite Markov chain

分类

信息技术与安全科学

引用本文复制引用

黄光球,刘嘉飞,姚玉霞..人工鱼群算法的全局收敛性证明[J].计算机工程,2012,38(2):204-206,3.

基金项目

陕西省科学技术研究发展计划基金资助项目(2011K0608) (2011K0608)

计算机工程

OACSCDCSTPCD

1000-3428

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