2008Journal of Jilin UniversityRequires access

Efficient interval-genetic algorithm for multi-peak global optimization

Xiaoni Chi

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Abstract

To overcome the disadvantage of high computation cost in traditional interval optimization algorithms for high dimensional problems,an interval-genetic algorithm was proposed.This algorithm combines the interval algorithm and a genetic algorithm.It employed the interval algorithm to bound the search domains of the genetic algorithm,and adopted a reject index to make the intervals containing the global optimum being more easily selected.Moreover,the algorithm used an upper bound of the global optimum provided by the genetic algorithm to discard the intervals not containing the global optimal solution.Simulation results on some multi-peak global optimizations show that the efficiency of the proposed algorithm is higher than traditional interval optimization algorithms and this advantage becomes more significant in solving high dimensional optimizations.

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What this paper is about

To overcome the disadvantage of high computation cost in traditional interval optimization algorithms for high dimensional problems,an interval-genetic algorithm was proposed.This algorithm combines the interval algorithm and a genetic algorithm.It employed the interval algorithm to bound the search domains of the genetic algorithm,and adopted a reject index to make the intervals containing the global optimum being more easily selected.Moreover,the algorithm used an upper bound of the global optimum provided by the genetic algorithm to discard the intervals not containing the global optimal solution.Simulation results on some multi-peak global optimizations show that the efficiency of the proposed algorithm is higher than traditional interval optimization algorithms and this advantage becomes more significant in solving high dimensional optimizations.

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Available abstract

To overcome the disadvantage of high computation cost in traditional interval optimization algorithms for high dimensional problems,an interval-genetic algorithm was proposed.This algorithm combines the interval algorithm and a genetic algorithm.It employed the interval algorithm to bound the search domains of the genetic algorithm,and adopted a reject index to make the intervals containing the global optimum being more easily selected.Moreover,the algorithm used an upper bound of the global optimum provided by the genetic algorithm to discard the intervals not containing the global optimal solution.Simulation results on some multi-peak global optimizations show that the efficiency of the proposed algorithm is higher than traditional interval optimization algorithms and this advantage becomes more significant in solving high dimensional optimizations.

Key concepts: Interval (graph theory), Algorithm, Genetic algorithm, Population-based incremental learning, Meta-optimization, Global optimization, Computation, Mathematical optimization

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