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Ge, Fangzhen; Wei, Zhen; Lu, Yang; Li, Lixiang; Yang, Yixian

Disturbance chaotic ant swarm. (English) Zbl 1248.90077

Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 9, 2597-2622 (2011).
Summary: Chaotic ant swarm (CAS) is an optimization algorithm based on swarm intelligence theory, which has been applied to find the global optimum solution in search space. However, it often loses its effectiveness and advantages when applied to large and complex problems, e.g. those with high dimensions. To resolve the problems of high computational complexity and low solution accuracy existing in CAS, we propose a disturbance chaotic ant swarm (DCAS) algorithm to significantly improve the performance of the original algorithm. The aim of this paper is achieved by three strategies which include modifying the method of updating ant’s best position, neighbor selection method and establishing a self-adaptive disturbance strategy. The global convergence of the DCAS algorithm is proved in this paper. Extensive computational simulations and comparisons are carried out to validate the performance of the DCAS on two sets of benchmark functions with up to 1000 dimensions. The results show clearly that DCAS substantially enhances the performance of the CAS paradigm in terms of computational complexity, global optimality, solution accuracy and algorithm reliability for complex high-dimensional optimization problems.

Cited in 2 Documents

MSC:

90C59 Approximation methods and heuristics in mathematical programming

Keywords:

swarm intelligence; chaotic ant swarm; global search; function optimization
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\textit{F. Ge} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 9, 2597--2622 (2011; Zbl 1248.90077)
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