Limitation of Small-world Topology for Application in Non-dominated Sorting Differential Evolution
Abstract: In the context of complex network theory, the
small-world network is famous for the small-world phenomenon, namely six
degrees of separation. Different from its wide application in the social,
physical and technological network analysis, it can be combined with the
mathematical optimization algorithm recently. In this paper, the limitation of
small-world network topology for application in multi-objective optimization
algorithm is proposed. The optimization algorithm based on small-world network
topology may be suitable for solving a few single-objective optimization
problems, but has limitation and unobvious effectiveness to deal with many multi-objective
optimization problems. This paper takes non-dominated sorting differential
evolution algorithm (NSDE) based on small-world topology to solve eight
multi-objective optimization problems (MOPs) for example. Compared with early
NSDE algorithm, the limitation of the efficiency of small-world topology in
NSDE is validated with the Matlab simulation results of eight MOEA test
functions of early 2007. The results prove that small-world topology has
limitation and unobvious effectiveness to improve a multi-objective
optimization algorithm, not as good as to improve a single-objective
optimization algorithm.
Author: Jun-fang Li, Bu-han
Zhang
Journal Code: jptkomputergg120064
