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Multi-Objective Ant Colony Optimization Based on the Physarum-Inspired Mathematical Model for Bi-Objective Traveling Salesman Problems

机译:基于物理学启发数学模型的双目标旅行商问题多目标蚁群优化

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摘要

Bi-objective Traveling Salesman Problem (bTSP) is an important field in the operations research, its solutions can be widely applied in the real world. Many researches of Multi-objective Ant Colony Optimization (MOACOs) have been proposed to solve bTSPs. However, most of MOACOs suffer premature convergence. This paper proposes an optimization strategy for MOACOs by optimizing the initialization of pheromone matrix with the prior knowledge of Physarum-inspired Mathematical Model (PMM). PMM can find the shortest route between two nodes based on the positive feedback mechanism. The optimized algorithms, named as iPM-MOACOs, can enhance the pheromone in the short paths and promote the search ability of ants. A series of experiments are conducted and experimental results show that the proposed strategy can achieve a better compromise solution than the original MOACOs for solving bTSPs.
机译:双目标旅行商问题(bTSP)是运筹学中的一个重要领域,其解决方案可以在现实世界中广泛应用。为了解决bTSP,提出了许多多目标蚁群优化(MOACO)研究。但是,大多数MOACO都过早收敛。本文通过基于物理启发式数学模型(PMM)的先验知识来优化信息素矩阵的初始化,提出了一种MOACO的优化策略。 PMM可以基于正反馈机制找到两个节点之间的最短路径。优化后的算法称为iPM-MOACO,可以增强短路径上的信息素,提高蚂蚁的搜索能力。进行了一系列实验,实验结果表明,所提出的策略比原始的MOACO能够更好地折衷解决bTSP。

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