计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (3): 42-44.DOI: 10.3778/j.issn.1002-8331.2009.03.011

• 研究、探讨 • 上一篇    下一篇

求解可满足问题的改进的蚁群算法

林 奋,周育人   

  1. 华南理工大学 计算机科学与工程学院,广州 510006
  • 收稿日期:2008-07-23 修回日期:2008-09-27 出版日期:2009-01-21 发布日期:2009-01-21
  • 通讯作者: 林 奋

Modified ant colony algorithms for solving Satisfiability problem

LIN Fen,ZHOU Yu-ren   

  1. School of Computer Science & Engineering,South China University of Technology,Guangzhou 510006,China
  • Received:2008-07-23 Revised:2008-09-27 Online:2009-01-21 Published:2009-01-21
  • Contact: LIN Fen

摘要: 可满足问题(SAT)是一个NP-hard问题,将SAT问题转换为无约束的离散优化(最小值)问题。并根据M Dorigo提出的蚁群算法,给出了一种求解SAT问题的新方法:改进的最大最小蚁群系统(MMAS-SAT)。在改进的算法中,给出了SAT问题的构造图,指出了启发式信息值的求法,对衰变系数进行了动态调整。测试问题的数值实验表明,采用MMAS-SAT的结果优于Gwsat、Walksat、Novelty等局部搜索算法,因此该算法是求解SAT问题的一种可行高效的算法。

关键词: SAT问题, 蚁群算法, 最大最小蚂蚁系统, 启发式信息值

Abstract: Satisfiability problem(SAT) is one of the NP-hard problems.In this paper,the SAT problem is transformed into a global minimize optimization problem without being constrained.According to the ant colony algorithm proposed by Dorigo M,a modified MAX-MIN Ant System for solving SAT problem is introduced,which is called MMAS-SAT.The improving algorithm introduces the construction graph for SAT,refers to the way to calculate the value of heuristic information,and indicates how to adjust the evaporation factor ρ dynamically.The numerical experiment of test problems show that the MMAS-SAT outperforms Gwsat,Walksat,Novelty and other local search algorithms,therefore the MMAS-SAT is feasible and efficient.

Key words: Satisfiability(SAT) problem, ant colony algorithms, MAX-MIN Ant System(MMAS), heuristic information