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A BRANCH-AND-CUT ALGORITHM FOR THE RESOLUTION OF LARGE-SCALE SYMMETRIC TRAVELING SALESMAN PROBLEMS

by Manfred Padberg, Giovanni Rinaldi , 1991
"... An algorithm is described for solving large-scale instances of the Symmetric Traveling Salesman Problem (STSP) to optimality. The core of the algorithm is a "polyhedral" cutting-plane procedure that exploits a subset of the system of linear inequalities defining the convex hull of the in ..."
Abstract - Cited by 204 (6 self) - Add to MetaCart
An algorithm is described for solving large-scale instances of the Symmetric Traveling Salesman Problem (STSP) to optimality. The core of the algorithm is a "polyhedral" cutting-plane procedure that exploits a subset of the system of linear inequalities defining the convex hull

A Branch-and-Cut Algorithm for the Symmetric Generalized Travelling Salesman Problem

by Matteo Fischetti, Juan José Salazar González, Paolo Toth , 1995
"... We consider 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. This NP-hard problem is known in the literature as the symmetric Generalized Travelling Salesman Problem (GT ..."
Abstract - Cited by 75 (4 self) - Add to MetaCart
classes of facet-defining inequalities, which are used within a branch-and-cut algorithm for the exact solution of GTSP. Heuristic procedures are also described. Extensive computational results for instances taken from the literature and involving up to 442 nodes are reported.

Solving large-scale traveling salesman problems with parallel Branch-and-Cut

by Michael Jünger, Peter Störmer , 1995
"... We introduce the implementation of a parallel Branch-and-Cut algorithm to solve large-scale traveling salesman problems. Rather than using the well-known models of homogeneous distribution and simple Master/Slave communication, we present a more sophisticated distribution that takes the advantage of ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
We introduce the implementation of a parallel Branch-and-Cut algorithm to solve large-scale traveling salesman problems. Rather than using the well-known models of homogeneous distribution and simple Master/Slave communication, we present a more sophisticated distribution that takes the advantage

Branch-and-Cut Algorithms

by Denis Naddef, Giovanni Rinaldi , 2003
"... ..."
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Ant Colony System: A cooperative learning approach to the traveling salesman problem

by Marco Dorigo, Luca Maria Gambardella - IEEE TRANSACTIONS ON EVOLUTIONARY COMPUTATION , 1997
"... This paper introduces the ant colony system (ACS), a distributed algorithm that is applied to the traveling salesman problem (TSP). In the ACS, a set of cooperating agents called ants cooperate to find good solutions to TSP’s. Ants cooperate using an indirect form of communication mediated by a pher ..."
Abstract - Cited by 1000 (53 self) - Add to MetaCart
This paper introduces the ant colony system (ACS), a distributed algorithm that is applied to the traveling salesman problem (TSP). In the ACS, a set of cooperating agents called ants cooperate to find good solutions to TSP’s. Ants cooperate using an indirect form of communication mediated by a

SCRIBE: A large-scale and decentralized application-level multicast infrastructure

by Miguel Castro, Peter Druschel, Anne-Marie Kermarrec, Antony Rowstron - IEEE Journal on Selected Areas in Communications (JSAC , 2002
"... This paper presents Scribe, a scalable application-level multicast infrastructure. Scribe supports large numbers of groups, with a potentially large number of members per group. Scribe is built on top of Pastry, a generic peer-to-peer object location and routing substrate overlayed on the Internet, ..."
Abstract - Cited by 648 (29 self) - Add to MetaCart
This paper presents Scribe, a scalable application-level multicast infrastructure. Scribe supports large numbers of groups, with a potentially large number of members per group. Scribe is built on top of Pastry, a generic peer-to-peer object location and routing substrate overlayed on the Internet

Pastry: Scalable, distributed object location and routing for large-scale peer-to-peer systems

by Antony Rowstron, Peter Druschel , 2001
"... This paper presents the design and evaluation of Pastry, a scalable, distributed object location and routing scheme for wide-area peer-to-peer applications. Pastry provides application-level routing and object location in a potentially very large overlay network of nodes connected via the Internet. ..."
Abstract - Cited by 2063 (50 self) - Add to MetaCart
This paper presents the design and evaluation of Pastry, a scalable, distributed object location and routing scheme for wide-area peer-to-peer applications. Pastry provides application-level routing and object location in a potentially very large overlay network of nodes connected via the Internet

Planning Algorithms

by Steven M LaValle , 2004
"... This book presents a unified treatment of many different kinds of planning algorithms. The subject lies at the crossroads between robotics, control theory, artificial intelligence, algorithms, and computer graphics. The particular subjects covered include motion planning, discrete planning, planning ..."
Abstract - Cited by 1108 (51 self) - Add to MetaCart
This book presents a unified treatment of many different kinds of planning algorithms. The subject lies at the crossroads between robotics, control theory, artificial intelligence, algorithms, and computer graphics. The particular subjects covered include motion planning, discrete planning

Where the REALLY Hard Problems Are

by Peter Cheeseman, Bob Kanefsky, William M. Taylor - IN J. MYLOPOULOS AND R. REITER (EDS.), PROCEEDINGS OF 12TH INTERNATIONAL JOINT CONFERENCE ON AI (IJCAI-91),VOLUME 1 , 1991
"... It is well known that for many NP-complete problems, such as K-Sat, etc., typical cases are easy to solve; so that computationally hard cases must be rare (assuming P != NP). This paper shows that NP-complete problems can be summarized by at least one "order parameter", and that the hard p ..."
Abstract - Cited by 681 (1 self) - Add to MetaCart
problems occur at a critical value of such a parameter. This critical value separates two regions of characteristically different properties. For example, for K-colorability, the critical value separates overconstrained from underconstrained random graphs, and it marks the value at which the probability

Network Coding for Large Scale Content Distribution

by Christos Gkantsidis, Pablo Rodriguez Rodriguez
"... We propose a new scheme for content distribution of large files that is based on network coding. With network coding, each node of the distribution network is able to generate and transmit encoded blocks of information. The randomization introduced by the coding process eases the scheduling of bloc ..."
Abstract - Cited by 497 (6 self) - Add to MetaCart
We propose a new scheme for content distribution of large files that is based on network coding. With network coding, each node of the distribution network is able to generate and transmit encoded blocks of information. The randomization introduced by the coding process eases the scheduling
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