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一种求解集合组合问题的离散粒子群优化模型
引用本文:陈自郁,何中市,何静媛. 一种求解集合组合问题的离散粒子群优化模型[J]. 华南理工大学学报(自然科学版), 2010, 38(4). DOI: 10.3969/j.issn.1000-565X.2010.04.026
作者姓名:陈自郁  何中市  何静媛
作者单位:重庆大学,计算机学院,重庆,400030;重庆大学,计算机学院,重庆,400030;重庆大学,计算机学院,重庆,400030
基金项目:国家自然科学基金,国家高技术研究发展计划(863计划),国家重大专项项目,重庆市自然科学基金资助项目 
摘    要:针对变长集合组合优化问题,提出了一种离散粒子群优化模型.该模型将集合的概念和运算引入粒子群优化中,定义了一个可变集合搜索空间,并重新定义了粒子的位置、速度及作用于此空间的运算规则,既保留了粒子群本身的优化特性,又体现了集合组合优化的特点.采用典型的变长集合组合优化问题——背包问题来验证此模型的性能,并与二进制粒子群优化(BPSO)算法进行了对比.结果表明,该模型具有较强的寻优能力和更高的稳定性.

关 键 词:集合  组合优化  离散粒子群优化  背包问题
收稿时间:2009-02-12
修稿时间:2009-10-15

Discrete Particle Swarm Optimization Model for Set-Based Combinatorial Optimization Problems
Chen Zi-yu,He Zhong-shi,He Jing-yuan. Discrete Particle Swarm Optimization Model for Set-Based Combinatorial Optimization Problems[J]. Journal of South China University of Technology(Natural Science Edition), 2010, 38(4). DOI: 10.3969/j.issn.1000-565X.2010.04.026
Authors:Chen Zi-yu  He Zhong-shi  He Jing-yuan
Abstract:In order to solve set-based combinatorial problems, a new model of discrete particle swarm optimization is proposed. According to set characteristics, set concepts and operations are introduced into particle swarm optimization. In the model, a search space of variable set is defined and particle’ velocity and location are re-stated. New operators are defined to work on the set search space. For validating it, the model was applied to solve knapsack problem,a typical set-based combinatorial optimization problem. The experiment results demonstrate that the PSO based on the model has great superiority both in searching ability and stability.
Keywords:swarm intelligence  discrete particle swarm optimization  set  combinatorial optimization  knapsack problem
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