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Hybrid Metaheuristic for the Prize Collecting Travelling Salesman Problem

机译:混合元启发法用于奖品收集旅行商问题。

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The Prize Collecting Traveling Salesman Problem (PCTSP) can be associated to a salesman that collects a prize in each city visited and pays a penalty for each city not visited, with travel costs among the cities. The objective is to minimize the sum of travel costs and penalties, while including in the tour enough cities to collect a minimum prize. This paper presents one solution procedure for the PCTSP, using a hybrid metaheuristic known as Clustering Search (CS), whose main idea is to identify promising areas of the search space by generating solutions and clustering them into groups that are then explored further. The validation of the obtained solutions was through the comparison with the results found by CPLEX.
机译:奖品收集旅行推销员问题(PCTSP)可以与推销员相关联,推销员可以在每个拜访的城市中收集奖品,并为每个未拜访的城市支付罚款,并在城市之间进行旅行。目的是最大程度地减少旅行费用和罚款的总和,同时在旅行中包括足够多的城市以收集最低奖金。本文使用称为聚类搜索(CS)的混合元启发式方法,介绍了PCTSP的一种解决方法,其主要思想是通过生成解决方案并将它们聚类为组,然后进一步进行探索,从而确定搜索空间中有希望的领域。通过与CPLEX发现的结果进行比较来验证所获得的解决方案。

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