基于人类智能的tsp元启发式优化算法

Feng-Cheng Yang, Ren-Fu Li
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摘要

本文提出了一种求解离散优化问题的启发式优化算法——带宽受限传输模拟优化算法(BRT-S)。该算法模仿人类在网络传输管理中的智能行为。BRT-S是一种建设性启发式算法,其优化过程模拟了网络上的数据传输和管理操作过程。在网络上部署一群模拟消息发送器的解决方案代理来寻求最优解决方案。然而,该算法对解搜索的资源利用进行了限制,模拟了网络传输中带宽资源的有限性。因此,代理商必须与其他代理商竞争以获得解决方案构建资源。由于模拟带宽的限制,并非每个代理都能够完成解决方案的构建。只有构建的解决方案才会受到客观价值评估的影响。在每个演化迭代中,带宽资源根据所获得的解决方案质量分别通过带宽衰减、增强或耗尽进行调制。为了说明算法的操作过程,提出了求解旅行商问题的BRT-S计算模型,并对求解系统进行了基准测试。数值实验结果表明,在计算资源相似的情况下,该算法的解优于蚁群算法和遗传算法等元启发式算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Human Intelligence Inspired Meta Heuristic Optimization Algorithm for TSPs
This paper presents a novel heuristic optimization algorithm for discrete optimization problems, the Bandwidth Restricted Transmission-Simulated Optimization Algorithm (BRT-S). This algorithm imitates the intellective behaviors of human in managing network transmission. BRT-S is a constructive heuristic algorithm whose optimization procedures simulate processes of data transferring and management operations over the network. A population of solution agents mimicking message transmitters on networks is deployed to quest for optimal solutions. The algorithm however restricts the resource utilized in solution search mimicking the bandwidth resource is limited in network transmission. As a result, agents must compete with others to obtain solution construction resources. Due to the mimicked bandwidth restriction, not every agent is able to complete a solution construction. Only constructed solutions are subject to objective value evaluations. In each evolution iteration, bandwidth resources are separately modulated by conducting bandwidth deterioration, enhancement, or depletion, on the basis of the solution qualities obtained. To illustrate the operation procedures of the algorithm, a BRT-S computation model for solving the Traveling Salesman Problem is presented and the solving system is implemented for benchmark testing. Numerical results of the tests indicate that given similar computation resources, the algorithm generates better solutions than other meta heuristic algorithms, such as ACO and GA.
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