Adaptive Ant Colony Optimization with Several Pheromone Updates for Constraint Satisfaction Problems

Takaaki Toya, Kazunori Mizuno, Shotaro Koike
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Abstract

Ant colony optimization, ACO, has been applied to solving constraint satisfaction problems, CSPs., as an effective meta-heuristics. Because most of ACO based algorithms have prepared only the single pheromone update method, however, such algorithms have sometimes been inefficient for CSP instances very hard to solve due to dependence on how pheromone accumulates. In this paper, we propose an ACO based algorithm that can deal with several pheromone update methods. Besides, the proposed method also prepare an adaptive mechanism, in which pheromone update methods suitable to each problem instance to be solved can dynamically be adjusted during the search process. We also demonstrate that the proposed method can be more effective than some ACO based algorithms with the single pheromone update method for large-scale and very hard instances of the graph coloring problem that has been known as one of typical examples of CSPs.
约束满足问题的若干信息素更新自适应蚁群优化
蚁群优化算法已被应用于求解约束满足问题(csp)。,作为一种有效的元启发式。然而,由于大多数基于蚁群算法只准备了单一的信息素更新方法,这些算法有时效率低下,对于CSP实例来说,由于依赖于信息素的积累而难以求解。本文提出了一种基于蚁群算法的信息素更新算法,该算法可以处理多种信息素更新方法。此外,该方法还准备了一种自适应机制,可以在搜索过程中动态调整适合每个待解决问题实例的信息素更新方法。我们还证明了所提出的方法可以比一些基于单信息素更新方法的基于蚁群算法更有效地用于大规模和非常困难的图着色问题实例,该问题已被称为csp的典型例子之一。
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