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Abstract: The symmetric Generalized Travelling Salesman Problem (GTSP) is a variant of the classical symmetric Travelling Salesman Problem, in which the nodes are partitioned into clusters and the salesman has to visit at least one node for each cluster. A different version of the problem, called E-GTSP, arises when exactly one node for each cluster has to be visited. Both GTSP and E-GTSP are NP-hard problems, and find practical applications in routing and scheduling. In this paper we model GTSP and... (Update)
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...Steiner tree polyhedra for directed graphs. To our knowledge, there is no previous work on the GST polytope. Fischetti, Salazar and Toth [6] present a polyhedral analysis of a related polytope where the tree requirement is replaced by a cycle requirement . The paper is...
...Travelling Salesman Problem (GTSP) and nds practical applications in routing, scheduling and location routing. In a companion paper [5] we modeled GTSP as an integer linear program, and studied the facial structure of two polytopes associated with the problem. Here we...
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BibTeX entry: (Update)
M. Fischetti, J.J. Salazar, P. Toth, \The Symmetric Generalized Travelling Salesman Polytope", Networks 26 (1995) 113-123. http://citeseer.ist.psu.edu/fischetti95symmetric.html More
@article{ fischetti95symmetric,
author = "Fischetti and Gonzalez and Toth",
title = "The Symmetric Generalized Traveling Salesman Polytope",
journal = "NETWORKS: Networks: An International Journal",
volume = "26",
year = "1995",
url = "citeseer.ist.psu.edu/fischetti95symmetric.html" }
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Documents on the same site (http://webpages.ull.es/users/jjsalaza/gtsp.htm):
A Branch-and-Cut Algorithm for the Symmetric.. - Fischetti.. (1995)
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