Title
A multiagent genetic algorithm for global numerical optimization.
Abstract
In this paper, multiagent systems and genetic algorithms are integrated to form a new algorithm, multiagent genetic algorithm (MAGA), for solving the global numerical optimization problem. An agent in MAGA represents a candidate solution to the optimization problem in hand. All agents live in a latticelike environment, with each agent fixed on a lattice-point. In order to increase energies, they compete or cooperate with their neighbors, and they can also use knowledge. Making use of these agent-agent interactions, MAGA realizes the purpose of minimizing the objective function value. Theoretical analyzes show that MAGA converges to the global optimum. In the first part of the experiments, ten benchmark functions are used to test the performance of MAGA, and the scalability of MAGA along the problem dimension is studied with great care. The results show that MAGA achieves a good performance when the dimensions are increased from 20-10,000. Moreover, even when the dimensions are increased to as high as 10,000, MAGA still can find high quality solutions at a low computational cost. Therefore, MAGA has good scalability and is a competent algorithm for solving high dimensional optimization problems. To the best of our knowledge, no researchers have ever optimized the functions with 10,000 dimensions by means of evolution. In the second part of the experiments, MAGA is applied to a practical case, the approximation of linear systems, with a satisfactory result.
Year
DOI
Venue
2004
10.1109/TSMCB.2003.821456
IEEE Transactions on Systems, Man, and Cybernetics, Part B
Keywords
Field
DocType
optimisation,high quality solution,global numerical optimization problem,global numerical optimization,numerical analysis,optimization problem,genetic algorithm,linear system,maga converges,competent algorithm,genetic algorithms,high dimensional optimization problem,multiagent genetic algorithm,new algorithm,problem dimension,lattice like environment,indexing terms,information processing,scalability,objective function,lattice points,application software,linear systems,benchmark testing,multiagent systems
Linear system,Computer science,Multi-agent system,Theoretical computer science,Artificial intelligence,Application software,Optimization problem,Genetic algorithm,Benchmark (computing),Mathematical optimization,Information processing,Machine learning,Scalability
Journal
Volume
Issue
ISSN
34
2
1083-4419
Citations 
PageRank 
References 
154
7.07
17
Authors
4
Search Limit
100154
Name
Order
Citations
PageRank
Weicai Zhong138126.14
Jing Liu21043115.54
Mingzhi Xue31547.07
Licheng Jiao45698475.84