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解灰色非线性规划问题的随机搜索算法 被引量:2

New stochastic search algorithm for grey nonlinear programming problems
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摘要 对带约束条件的灰色非线性规划问题进行了探讨,首先将原灰色约束非线性规划问题进行均值白化处理,转化成一个确定型的带约束条件的非线性规划问题,对该确定型的非线性约束规划问题提出一个基于分布估计算法的随机搜索方法,对所提出的求解方法的关键技术作了详细的说明并给出了具体的算法步骤。初步的数值算例表明所提出的方法是可行有效的。 In this paper, the grey constrained nonlinear programming problems were investigated. With the help of mean, this paper firstly transformed the original grey optimization problem into a determinate constrained nonlinear programming problem. Then, based on the estimation of distribution algorithm, a stochastic search method was developed to solve the determinate constrained nonlinear programming problem. The key technique of the proposed method was explained in detail and the steps of the proposed method were described concretely. Finally, the elementary numerical examples show the proposed stochastic search method is feasible and effective.
出处 《计算机应用》 CSCD 北大核心 2013年第10期2819-2821,共3页 journal of Computer Applications
基金 安徽省高校省级自然科学研究项目(KJ2013Z187 KJ2011B048) 教育部青年专项课题(EIA100406) 安庆师范学院校级青年科研基金资助项目(KJ201109)
关键词 灰色非线性规划 均值白化模型 分布估计算法 (近似)最优解 蒙特卡罗模拟 grey nonlinear programming mean-whitenization model Estimation of Distribution Algorithm (EDA) (approximate) optimal solution Monte Carlo simulation
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参考文献10

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二级参考文献108

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