An Evolutionary Algorithm Using Parameter Space Searching for Interval Linear Fractional Bilevel Programming Problems

Author:

Li Hecheng1,Wang Zhicang2

Affiliation:

1. Department of Mathematics, Qinghai Normal University, Xining 810008, P. R. China

2. School of Computer Science, Qinghai Normal University, Xining 810008, P. R. China

Abstract

Interval programming is one of main approaches treating imprecise and uncertain elements involved in optimization problems. In this paper, an interval linear fractional bilevel program is considered, which is characterized in that both objective coefficients and the right-hand side vector are interval numbers, and an evolutionary algorithm (EA) is proposed to solve the problem. First, the interval parameter space of the follower’s problem is taken as the search space of the proposed EA. For each individual, one can evaluate it by dealing with a simplified interval bilevel program in which only the leader’s objective involves interval parameters. In addition, the optimality conditions of linear fractional programs are applied to convert and solve the simplified problem. Finally, some computational examples were solved and the results show that the proposed algorithm is efficient and robust.

Funder

The Natural Science Foundation of Qinghai Provincial

The National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Software

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A new differential evolution using a bilevel optimization model for solving generalized multi-point dynamic aggregation problems;Mathematical Biosciences and Engineering;2023

2. A Toll-Setting Optimization Approach for Transportation Networks;2021 17th International Conference on Computational Intelligence and Security (CIS);2021-11

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