Prize Collecting Traveling Salesman Problem with Ridesharing
نویسندگان
چکیده
منابع مشابه
The online Prize-Collecting Traveling Salesman Problem
We study the online version of the Prize-Collecting Traveling Salesman Problem (PCTSP), a generalization of the Traveling Salesman Problem (TSP). In the TSP, the salesman has to visit a set of cities while minimizing the length of the overall tour. In the PCTSP, each city has a given weight and penalty, and the goal is to collect a given quota of the weights of the cities while minimizing the l...
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In this paper, we propose novel adaptation rules for the selforganizing map to solve the prize-collecting traveling salesman problem (PC-TSP). The goal of the PC-TSP is to find a cost-efficient tour to collect prizes by visiting a subset of a given set of locations. In contrast with the classical traveling salesman problem, where all given locations must be visited, locations in the PC-TSP may ...
متن کاملA note on the prize collecting traveling salesman problem
We study the version of the prize collecting traveling salesman problem, where the objective is to find a tour that visits a subset of vertices such that the length of the tour plus the sum of penalties associated with vertices not in the tour is as small as possible. We present an approximation algorithm with constant bound. The algorithm is based on Christofides' algorithm for the traveling s...
متن کاملPrize-Collecting Traveling Salesman and Related Problems
The most general version of the Prize Collecting Traveling Salesman Problem (PCTSP) was first introduced by Balas [8]. In this problem, a salesman has to collect a certain amount of prizes (the quota) by visiting cities. A known prize can be collected in every city. Furthermore, by not visiting a city, the salesman incurs a pecuniary penalty. The goal is to minimize the total travel distance pl...
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We study a scheduling problem in which jobs have locations. For example, consider a repairman that is supposed to visit customers at their homes. Each customer is given a time window during which the repairman is allowed to arrive. The goal is to find a schedule that visits as many homes as possible. We refer to this problem as the Prize-Collecting Traveling Salesman Problem with time windows (...
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ژورنال
عنوان ژورنال: Revista de Informática Teórica e Aplicada
سال: 2020
ISSN: 2175-2745,0103-4308
DOI: 10.22456/2175-2745.94082