منابع مشابه
The Generalized Covering Salesman Problem
Given a graph ( , ) G N E , the Covering Salesman Problem (CSP) is to identify the minimum length tour “covering” all the nodes. More specifically, it seeks the minimum length tour visiting a subset of the nodes in N such that each node i not on the tour is within a predetermined distance di of a node on the tour. In this paper, we define and develop a generalized version of the CSP, and refe...
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In the Covering Salesman Problem (CSP), a distribution of nodes is provided, and the objective is to identify the shortest-length tour of a subset of all given nodes such that each node is not on the tour which is within a radius r of any node on the tour. In this paper, we define a new covering problem called the CSP with Nodes and Segments (CSPNS). The main difference between the CSP and the ...
متن کاملApproximation Algorithms for the Geometric Covering Salesman Problem
We introduce a geometric version of the Covering Salesman Problem: Each of the n salesman's clients speciies a neighborhood in which they are willing to meet the salesman. Identifying a tour of minimum length that visits all neighborhoods is an NP-hard problem, since it is a generalization of the Traveling Salesman Problem. We present simple heuristic procedures for constructing tours, for a va...
متن کاملHeuristic and exact algorithms for Generalized Bin Covering Problem
In this paper, we study the Generalized Bin Covering problem. For this problem an exact algorithm is introduced which can nd optimal solution for small scale instances. To nd a solution near optimal for large scale instances, a heuristic algorithm has been proposed. By computational experiments, the eciency of the heuristic algorithm is assessed.
متن کاملGeneralized Traveling Salesman Problem Reduction Algorithms
The generalized traveling salesman problem (GTSP) is an extension of the well-known traveling salesman problem. In GTSP, we are given a partition of cities into groups and we are required to find a minimum length tour that includes exactly one city from each group. The aim of this paper is to present a problem reduction algorithm that deletes redundant vertices and edges, preserving the value o...
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ژورنال
عنوان ژورنال: INFORMS Journal on Computing
سال: 2012
ISSN: 1091-9856,1526-5528
DOI: 10.1287/ijoc.1110.0480