1 edition of **The Travelling Salesman Problem and Its Variations** found in the catalog.

- 379 Want to read
- 18 Currently reading

Published
**2002**
by Springer in Dordrecht
.

Written in English

- Combinatorial optimization,
- Traveling-salesman problem

This volume provides information on theory and algorithms for the traveling salesman problem (TSP). The book covers all important areas of study on TSP, including polyhedral theory for symmetric and asymmetric TSP, and branch and bound, and branch and cut algorithms.

**Edition Notes**

Contributions | Punnen, Abraham P. |

Classifications | |
---|---|

LC Classifications | QA164 .T733 2002eb |

The Physical Object | |

Format | [electronic resource] |

Pagination | 1 online resource (836 p.) |

Number of Pages | 836 |

ID Numbers | |

Open Library | OL27092799M |

ISBN 10 | 0306482134 |

ISBN 10 | 9780306482137 |

OCLC/WorldCa | 855968951 |

There is a reference to it as a practical problem in a German book from Some people credit Karl Menger with popularizing the problem to the European mathematical community in the 's. A. Serdyukov, The maximum traveling salesman problem, in The Traveling Salesman Problem and its Variations, G. Gutin and A. Punnan, (eds.), Kluwer. Chapter 10 The Traveling Salesman Problem Introduction The traveling salesman problem consists of a salesman and a set of cities. The salesman has to visit each one of the cities starting from a certain one (e.g. the hometown) and returning to the same city. The challenge of the problem is that the traveling salesman wants to minimize the File Size: KB.

The Traveling Salesman Problem: A Case Study in Local Optimization David S. Johnson1 Lyle A. McGeoch2 Abstract This is a preliminary version of a chapter that appeared in the bookLocal Search in Combinatorial Optimization, E. H. L. Aarts and J. K. Lenstra . In Pursuit of the Traveling Salesman: Mathematics and the Limits of Computation, available for $ @ Amazon. News items can be found on the book's Facebook Page. Concorde TSP app for the iPhone and iPad avaiable on the Apple App Store. It's free! The Traveling Salesman Problem: A Computational Study by Applegate, Bixby, Chvatal, and Cook.

Genetic algorithms are evolutionary techniques used for optimization purposes according to survival of the fittest idea. These methods do not ensure optimal solutions; however, they give good approximation usually in time. The genetic algorithms are useful for NP-hard problems, especially the traveling salesman problem. The genetic algorithm depends on selection criteria, crossover, and Cited by: 1 Variations of the Traveling Salesman Problem Recall that an input of the Traveling Salesman Problem is a set of points X and a non-negative, symmetric, distance function d: X X!R such that d(x;y) = d(y;x) 0 a number of times equal to its degree in the tree) and every edge is traversed precisely Size: KB.

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The Traveling Salesman Problem and Its Variations. Editors: Gutin, G., Punnen, A.P. (Eds provides the state of the art in theory and algorithms for the traveling salesman problem (TSP).

The book covers all important areas of study on TSP, including polyhedral theory for symmetric and asymmetric TSP, branch and bound, and branch and cut.

This chapter retraces the joint history of operations research and the traveling salesman problem. After presenting the problem, it proposes first exact then approximation algorithms for various versions of the problem: minimization or maximization, metric instances, The Travelling Salesman Problem and Its Variations book distances, : Jérôme Monnot, Sophie Toulouse.

Request PDF | On Jan 1,D.S. Johnson and others published The travelling salesman problem and its variations | Find, read and cite all the research you need on ResearchGate.

The traveling salesman problem: a guided tour of combinatorial optimization Polyhedral theory and branch-and-cut algorithms for the symmetric TSP The traveling salesman problem and its variations. 2 THE TRAVELING SALESMAN PROBLEM AND ITS VARIATIONS Introduction The purpose of this chapter is to introduce the reader to recently de-veloped concepts and results on exponential (size) neighborhoods and domination analysis for the traveling salesman problem (TSP).

Even though these topics are of certain practical relevance, we restrict our. Gimadi, Anatoliy I. Serdyukov --The generalized traveling salesman and orienteering problems / Matteo Fischetti, Juan-JosŠlazar-Gonzl̀ez, Paolo Toth --The prize collecting Traveling salesman problem and its applications / Egon Balas --The bottleneck TSP / Santosh N.

Kabadi, Abraham P. Punnen --TSP software / Andrea Lodi, Abraham P. Punnen. ISBN: OCLC Number: Description: xviii, pages: illustrations ; 25 cm.

Contents: The Traveling salesman problem: applications, formulations, and variations / Abraham P. Punnen --Polyhedral theory and branch-and-cut algorithms for the symmetric TSP / Denis Naddef --Polyhedral theory for the asymmetric traveling salesman problem / Egon Balas.

This volume, which contains chapters written by reputable researchers, provides the state of the art in theory and algorithms for the traveling salesman problem (TSP). The book covers all important areas of study on TSP, including polyhedral theory for symmetric and asymmetric TSP, branch and bound, and branch and cut algorithms, probabilistic.

"The authors have done a wonderful job of explaining how they developed new techniques in response to the challenges posed by ever larger instances of the Traveling Salesman Problem.", MAA Online "[T]he book provides a comprehensive treatment of the traveling salesman problem and I highly recommend it not only to specialists in the area but to Cited by: In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation is a book on the travelling salesman problem, by William J.

Cook, published in by the Princeton University Press, with a paperback reprint in The Basic Library List Committee of the Mathematical Association of America has suggested its inclusion in undergraduate mathematics libraries.

Download PDF The Traveling Salesman Problem And Its Variations book full free. The Traveling Salesman Problem And Its Variations available for download and read online in.

the travelling salesman problem. This book describes the method and computer code used to solve a range of large-scale problems, and demonstrates the interplay of applied. Traveling Salesman Problem, Theory and Applications 2 aTSP: If ddrs sr≠ for at least one (rs,)then the TSP becomes an aTSP.

mTSP: The mTSP is defined as: In a given set of nodes, let there are m salesmen located at a single depot node. The remaining nodes (cities) that are to be visited are intermediate nodes. The traveling salesman problem (TSP) were stud ied in the 18th century by a mathematician from Ireland named Sir William Rowam Hamilton and by the British mathematician named Thomas Penyngton Kirkman.

Detailed discussion about the work of Hamilton & Kirkman can be seen from the book titled Graph Theory (Biggs et al. It is believed that the. TLDR version: Most important issue is, that in a TSP problem, instead of finding the shortest Hamiltonian cycle, what are good ways to find the best path (I suppose the one that visits the most nodes) which is at most X length, with a fixed starting point.

Full version: I'm interested in some ideas for a problem that involves TSP. First, an example real-world TSP problem is when you have N. Balas, E. The prize collecting traveling salesman problem and its applications. In G. Gutin & A. Punnen (Eds.), The traveling salesman problem and its variations (pp.

Dordrecht, The Netherlands: Kluwer. Google Scholar. By the way, if you are trying to do the same thing without introducing additional nodes, as in the initial part of your question, then this is the problem of computing a minimum spanning tree, not the travelling salesman problem, and can be solved in polynomial time.

The Traveling Salesman Problem and its Variations. Paradigms of Combinatorial Optimization, () Comparative Study of Meta-Heuristic Approaches for Solving Traveling Salesman by: A lot of work and applications have been done about GAs in a frequently cited book by Golberg.

GAs work with population of chromosomes that are represented by some underlying parameters set codes. The traveling salesman problem (TSP) is one of the most famous benchmarks, significant, historic, and very hard combinatorial optimization by: Travelling Salesman Problem (TSP): Given a set of cities and distance between every pair of cities, the problem is to find the shortest possible route that visits every city exactly once and returns to the starting point.

Note the difference between Hamiltonian Cycle and TSP. The Hamiltoninan cycle problem is to find if there exist a tour that visits every city exactly once/5. The traveling salesman problem asks: Given a collection of cities connected by highways, what is the shortest route that visits every city and returns to the starting place.

The answer has. The Travelling Salesman Problem and Some of its Variants The symmetric TSP The asymmetric TSP The TSP with precedences or time windows The online TSP The symmetric and asymmetric m-TSP The price collecting TSP The Chinese postman problem (undirected, directed, mixed) Bus, truck, vehicle routing Edge/arc & node routing with capacities.A catalogue record for this book is available from the University Library Rijeka under no.

Travelling Salesman Problem, Edited by Federico Greco p. cm. ISBN 1. Travelling Salesman Problem, Federico Greco.A “branch and bound” algorithm is presented for solving the traveling salesman problem. The set of all tours (feasible solutions) is broken up into increasingly small subsets by a procedure called by: