Publication detail

Algorithm for Travelling Salesman Problem

BARTONĚK, D.

Original Title

Algorithm for Travelling Salesman Problem

Type

book chapter

Language

English

Original Abstract

The paper describes a new algorithm for finding the shortest path in the graph among all nodes. The algorithm is based on the sequential removing of nodes from the graph. After removing a node, it is necessary to generate new edges that represent all paths through the node. This procedure maintains the configuration of the graph. The newly created edges are referred to as composed edges. The newly generated edges can be connected together only with simple (original) edges, because this could lead to overlaping the edges of the original graph and thus may occur incorrect paths in the graph. During the algorithm proceeds the continuous optimization of the edges so that it removes loops around the nodes. This leads to a significant reduction of the number of combinations of edges, and it simplifies the process. The algorithm was tested though procedure in Python and its complexity is polynomial time. The job is known as a problem of a Salesman or a Hamiltonian path or Hamiltonian circle in the graph. Results of proposed method can be used in logistics (distribution of goods among locations), in transport planning (selection of the optimal route between given points) in crisis management (optimal route for intervention in case of fire or accidents) in tourism and related services (planning the shortest route trip) or spatial analyses in geographic information systems (GIS).

Keywords

graph, GIS, travelling salesman problem

Authors

BARTONĚK, D.

RIV year

2015

Released

1. 3. 2015

Publisher

CRC Press, Taylor & Francis

Location

London, UK

ISBN

978-1-315-68852-7

Book

The Role of Service in the Tourism & Hospitality Industry

Edition

CRC Press 2015

Edition number

1

ISBN

NEUVEDENO

Pages from

107

Pages to

111

Pages count

5

URL

http://www.crcnetbase.com/isbn/9781315688527

BibTex

@inbook{BUT114003,
  author="Dalibor {Bartoněk}",
  title="Algorithm for Travelling Salesman Problem",
  booktitle="The Role of Service in the Tourism & Hospitality Industry",
  year="2015",
  publisher="CRC Press, Taylor & Francis",
  address="London, UK",
  series="CRC Press 2015",
  edition="1",
  pages="107--111",
  doi="10.1201/b18238-19",
  isbn="978-1-315-68852-7",
  url="http://www.crcnetbase.com/isbn/9781315688527"
}