An equivalent genetic algorithm based on extended strings and its convergence analysis

摘要

A novel equivalent genetic algorithin based on extended strings (ESGA) is presented in this paper. The ESGA is equivalent to the canonical genetic algorithms (CGAs) in optimization problems, whereas the manner of the group by group implementation makes it different from the conventional genetic algorithms. In this paper the conditions and the rate of convergence of the ESGA are analyzed theoretically. It is shown that the ESGA can converge to the global optimal solution and the average value of the times of reaching the optimal point is finite. An analytical expression for the average rate of convergence of the ESGA is also provided. (C) 2001 Elsevier Science Inc. All rights reserved. [References: 11]