Adaptive Genetic Algorithm for Solving Bilevel Linear Programming Problem

WANG Guang-min; WANG Xian-jia; WAN Zhong-ping; JIA Shi-hui

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(12): 1433-1440

WANG Guang-min, WANG Xian-jia, WAN Zhong-ping, JIA Shi-hui. Adaptive Genetic Algorithm for Solving Bilevel Linear Programming Problem[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1433-1440.

Citation:

WANG Guang-min, WANG Xian-jia, WAN Zhong-ping, JIA Shi-hui. Adaptive Genetic Algorithm for Solving Bilevel Linear Programming Problem[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1433-1440.

Citation:

WANG Guang-min, WANG Xian-jia, WAN Zhong-ping, JIA Shi-hui. Adaptive Genetic Algorithm for Solving Bilevel Linear Programming Problem[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1433-1440.

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Adaptive Genetic Algorithm for Solving Bilevel Linear Programming Problem

1.
School of Management, China University of Geosciences, Wuhan, 430074, P. R. China;

Received Date: 2005-11-30
Rev Recd Date: 2007-10-31
Publish Date: 2007-12-15

Abstract

Abstract

An adaptive genetic algorithm is proposed for solving the bilevel linear programming problem to overcome the difficulty of determining the probabilities of crossover and mutation. In addition, some techniques are adopted not only to deal with the difficulty that most of the chromosomes may be infeasible in solving constrained optimization problem with genetic algorithm but also to improve the efficiency of the algorithm. The performance of this proposed algorithm is illustrated by the examples from references.
- bilevel linear programming,
- genetic algorithm,
- fitness value,
- adaptive operator probabilities,
- crossover and mutation

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References(24)

References

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