منابع مشابه
Traveling salesman path problems
In the traveling salesman path problem, we are given a set of cities, traveling costs between city pairs and fixed source and destination cities. The objective is to find a minimum cost path from the source to destination visiting all cities exactly once. In this paper, we study polyhedral and combinatorial properties of a variant we call the traveling salesman walk problem, in which the object...
متن کاملLP-Based Approximation Algorithms for Traveling Salesman Path Problems
We present a ( 3 − ǫ)-approximation algorithm for some constant ǫ > 0 for the traveling salesman path problem under the unit-weight graphical metric, and prove an upper bound on the integrality gap of the path-variant Held-Karp relaxation both under this metric and the general metric. Given a complete graph with the metric cost and two designated endpoints in the graph, the traveling salesman p...
متن کاملExact Graph Search Algorithms for Generalized Traveling Salesman Path Problems
The Generalized Traveling Salesman Path Problem (GTSPP) involves finding the shortest path from a location s to a location t that passes through at least one location from each of a set of generalized location categories (e.g., gas stations, grocery stores). This NP-hard problem type has many applications in transportation and location-based services. We present two exact algorithms for solving...
متن کاملTraveling Salesman and Related Problems
Alberto Marchetti-Spaccamela University of Rome “La Sapienza” 40.
متن کاملOn Labeled Traveling Salesman Problems
We consider labeled Traveling Salesman Problems, defined upon a complete graph of n vertices with colored edges. The objective is to find a tour of maximum (or minimum) number of colors. We derive results regarding hardness of approximation, and analyze approximation algorithms for both versions of the problem. For the maximization version we give a 1 2 -approximation algorithm and show that it...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2006
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s10107-006-0046-8