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Mathematical Problems in Engineering
Volume 2014, Article ID 820747, 16 pages
Research Article

A Differential Evolution with Two Mutation Strategies and a Selection Based on an Improved Constraint-Handling Technique for Bilevel Programming Problems

School of Mathematics and Statistics, Xidian University, Xi’an 710071, China

Received 29 April 2014; Revised 1 July 2014; Accepted 1 July 2014; Published 23 July 2014

Academic Editor: Yuping Wang

Copyright © 2014 Hong Li and Li Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Two mutation operators are used in the differential evolution algorithm to improve the diversity of population. An improved constraint-handling technique based on a comparison mechanism is presented, and then it is combined with the selection operator in the differential evolution algorithm to fulfill constraint handling and selection simultaneously. A differential evolution with two mutation strategies and a selection based on this improved constraint-handling technique is developed to solve bilevel programming problems. The simulation results on some linear and nonlinear bilevel programming problems show the effectiveness and efficiency of the proposed algorithm.