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一种多维背包问题的n进制编码遗传求解算法

拓守恒

安徽农业科学2011,Vol.39Issue(32):19667-19670,4.
安徽农业科学2011,Vol.39Issue(32):19667-19670,4.

一种多维背包问题的n进制编码遗传求解算法

A Genetic Algorithm with Arbitrary Encoding for Multi-Dimensional Knapsack Problems

拓守恒1

作者信息

  • 1. 陕西理工学院数学与计算机科学学院,陕西汉中723000
  • 折叠

摘要

Abstract

According to the problems ( high diversity and premature convergence) of traditional binary code genetic algorithm when it was used to solve multi-dimensional knapsack optimization problems,a genetic algorithm with arbitrary encoding for multi-dimensional knapsack problems was proposed. The algorithm initializes population with arbitrary encoding,evolves population with mutation operator and crossover operator,and corrects infeasible solution with modified operator in order to make the solution satisfy the constrained condition,and then optimizes the optimization front end with pareto optimal set updating algorithm in order to enlarge its coverage and guarantee its homogeneity. The results of 20 times of random experiments showed that the algorithm could effectively overcome premature convergence and keep the population diversity and solving precision,which indicated that the algorithm had the ability of solving multi-dimensional knapsack problems.

关键词

多维背包问题/n进制编码/遗传算法

Key words

Multi-dimensional knapsack problems/Multi-band encoding/Genetic algorithm

分类

农业科技

引用本文复制引用

拓守恒..一种多维背包问题的n进制编码遗传求解算法[J].安徽农业科学,2011,39(32):19667-19670,4.

基金项目

国家自·然科学基金(81160183) (81160183)

陕西省教育厅科研基金(2010JK466,2010JK459) (2010JK466,2010JK459)

宁夏自然科学基金项目(NZ11105). (NZ11105)

安徽农业科学

0517-6611

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