求解非线性二层规划问题的模拟植物生长算法

Abstract

Abstract: Based on plant phototropism growth pattern as its heuristic criterion, an intelligence optimization algorithm for solving nonlinear bilevel programming is proposed herein. In this algorithm, the upper solution space and lower reaction set of bilevel programming are looked as two growth environments of plant. Then the plant system evolution style based on growth regulation and the probability growth model based on plant phototropism theory are established. The optimization model combined with above two realizes the evolution of artificial plant from initial status to whole final status (that means no new branch growing), thus the optimal solution of bilevel programming can be found. This algorithm herein shows its high accuracy and strong astringency. Comparing with typical optimal solutions obtained from western scholars worked on actual test problems of nonlinear bilevel programming, plant growth simulation algorithm herein also shows its good effectiveness and feasibility.

Key words: plant growth simulation algorithm (PGSA), bilevel programming, nonlinear bilevel programming

CLC Number:

O221

LI Tong, CHEN Chou-yong. Plant Growth Simulation Algorithm for Solving Nonlinear Bilevel Programming[J]. Chinese Journal of Management Science, 2012, (4): 160-166.

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Plant Growth Simulation Algorithm for Solving Nonlinear Bilevel Programming

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