具有指数信息素沉积规则的精英蚂蚁系统的探索与利用平衡
Balancing Exploration and Exploitation by an Elitist Ant System with Exponential Pheromone Deposition Rule
摘要:
提出了一种指数型信息素沉积规则,对基本蚁群算法中的常数沉积规则进行了改进。利用微分方程进行了稳定性分析,找出了两种沉积规则下使蚂蚁系统动力学稳定的参数值。一个连接的城市路线图被选为问题的环境,其中两个给定的城市之间的最短路径需要被发现。使用精英蚂蚁系统模型对这两种沉积方法进行的仿真表明,指数沉积方法在很大程度上优于经典沉积方法。通过大量的实验,找出了指数沉积法不同控制参数的最佳设置,以及算法主要控制参数与问题环境特征之间的经验关系。
英文摘要:
The paper presents an exponential pheromone deposition rule to modify the basic ant system algorithm which employs constant deposition rule. A stability analysis using differential equation is carried out to find out the values of parameters that make the ant system dynamics stable for both kinds of deposition rule. A roadmap of connected cities is chosen as the problem environment where the shortest route between two given cities is required to be discovered. Simulations performed with both forms of deposition approach using Elitist Ant System model reveal that the exponential deposition approach outperforms the classical one by a large extent. Exhaustive experiments are also carried out to find out the optimum setting of different controlling parameters for exponential deposition approach and an empirical relationship between the major controlling parameters of the algorithm and some features of problem environment.
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