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Performance Analyses of Nature-inspired Algorithms on the Traveling Salesman's Problems for Strategic Management

机译:启发式算法对旅行商策略管理问题的性能分析

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摘要

This paper carries out a performance analysis of major Nature-inspired Algorithms in solving the benchmark symmetric and asymmetric Traveling Salesman's Problems (TSP). Knowledge of the workings of the TSP is very useful in strategic management as it provides useful guidance to planners. After critical assessments of the performances of eleven algorithms consisting of two heuristics (Randomized Insertion Algorithm and the Honey Bee Mating Optimization for the Travelling Salesman's Problem), two trajectory algorithms (Simulated Annealing and Evolutionary Simulated Annealing) and seven population-based optimization algorithms (Genetic Algorithm, Artificial Bee Colony, African Buffalo Optimization, Bat Algorithm, Particle Swarm Optimization, Ant Colony Optimization and Firefly Algorithm) in solving the 60 popular and complex benchmark symmetric Travelling Salesman's optimization problems out of the total 118 as well as all the 18 asymmetric Travelling Salesman's Problems test cases available in TSPLIB91. The study reveals that the African Buffalo Optimization and the Ant Colony Optimization are the best in solving the symmetric TSP, which is similar to intelligence gathering channel in the strategic management of big organizations, while the Randomized Insertion Algorithm holds the best promise in asymmetric TSP instances akin to strategic information exchange channels in strategic management.
机译:本文在分析基准对称和非对称旅行商问题(TSP)方面,对主要的自然启发算法进行了性能分析。 TSP的运作知识在战略管理中非常有用,因为它为规划人员提供了有用的指导。在对包括两种启发式算法的11种算法(随机插入算法和针对旅行推销员问题的蜜蜂配合优化),11种轨迹算法(模拟退火和进化模拟退火)以及7种基于种群的优化算法(遗传算法)的性能进行了严格评估之后算法,人工蜂群,非洲水牛城优化,蝙蝠算法,粒子群优化,蚁群优化和萤火虫算法)解决了总共118种非对称旅行中的60种常见且复杂的基准对称旅行商优化问题,以及18种非对称旅行中的所有问题TSPLIB91中提供了“业务员问题”测试用例。研究表明,非洲水牛优化和蚁群优化是求解对称TSP的最佳方法,这类似于大型组织战略管理中的情报收集渠道,而随机插入算法在非对称TSP实例中则具有最佳前景类似于战略管理中的战略信息交换渠道。

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