• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

J4 ›› 2006, Vol. 28 ›› Issue (10): 78-79.

• 论文 • 上一篇    下一篇

蚁群算法求解多维0/1背包问题

熊伟清 魏平 王小权   

  • 出版日期:2006-10-01 发布日期:2010-05-20

  • Online:2006-10-01 Published:2010-05-20

摘要:

0/1背包问题是一类典型的组合优化问题,并且是NP-完全的问题,研究它具有很重要的意义。本文针对多维0/1背包问题的特点,设计了二进制编码的有向图,使得蚁群算法可以应用到背包问题上。仿真结果表明,该蚁群算法在求解多维0/1背包问题上的是相当出色的。

关键词: 蚁群算法 NP-完全问题 整数规划 背包问题

Abstract:

The 0/1 Knapsack Problem is of a class of typical combinatorial optimization problems and is NP-complete. It has important meanings to study it. Aimin g at the characteristics of the multidimensional 0/1 knapsack problem, a binary coding directed graph is designed, which makes the ant colony algorithm suitable for the Knapsack Problem. The simulation results show that the Ant Colony Algorithm is very excellent in solving the multidimensional 0/1 knapsack problem.

Key words: (ant colony algorithrn, NP-complete, integer programming, knapsack problem)