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An inflationary differential evolution algorithm for space trajectory optimization

By Massimiliano Vasile, Edmondo Minisci and Marco Locatelli

Abstract

In this paper we define a discrete dynamical system that governs the evolution of a population of agents. From the dynamical system, a variant of Differential Evolution is derived. It is then demonstrated that, under some assumptions on the differential mutation strategy and on the local structure of the objective function, the proposed dynamical system has fixed points towards which it converges with probability one for an infinite number of generations. This property is used to derive an algorithm that performs better than standard Differential Evolution on some space trajectory optimization problems. The novel algorithm is then extended with a guided restart procedure that further increases the performance, reducing the probability of stagnation in deceptive local minima.Comment: IEEE Transactions on Evolutionary Computation 2011. ISSN 1089-778

Topics: Computer Science - Computational Engineering, Finance, and Science, Computer Science - Numerical Analysis, Computer Science - Neural and Evolutionary Computing, Computer Science - Systems and Control, Mathematics - Optimization and Control, Nonlinear Sciences - Chaotic Dynamics
Year: 2011
DOI identifier: 10.1109/TEVC.2010.2087026
OAI identifier: oai:arXiv.org:1104.4731
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