A Labelling Method for the Travelling Salesman Problem-Reference-Cited by-同舟云学术

A Labelling Method for the Travelling Salesman Problem

Published:2023-05-24 Issue:11 Volume:13 Page:6417
ISSN:2076-3417
Container-title:Applied Sciences
language:en
Short-container-title:Applied Sciences

Author:

Tawanda Trust¹^ORCID,Nyamugure Philimon¹^ORCID,Kumar Santosh²,Munapo Elias³

Affiliation:

1. Department of Statistics and Operations Research, National University of Science and Technology, Ascot, Bulawayo P.O. Box AC 939, Zimbabwe

2. Department of Mathematical and Geospatial Sciences, School of Sciences, RMIT University, Melbourne, VIC 3001, Australia

3. Department of Business Statistics and Operations Research, School of Economic Sciences, Mafikeng Campus, North West University, Mmabatho 2745, South Africa

Abstract

The travelling salesman problem (TSP) is a problem whereby a finite number of nodes are supposed to be visited exactly once, one after the other, in such a way that the total weight of connecting arcs used to visit these nodes is minimized. We propose a labelling method to solve the TSP problem. The algorithm terminates after K−1 iterations, where K is the total number of nodes in the network. The algorithm’s design allows it to determine alternative tours if there are any in the TSP network. The computational complexity of the algorithm reduces as iterations increase, thereby making it a powerful and efficient algorithm. Numerical illustrations are used to prove the efficiency and validity of the proposed algorithm.

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Computer Science Applications,Process Chemistry and Technology,General Engineering,Instrumentation,General Materials Science

Link

https://www.mdpi.com/2076-3417/13/11/6417/pdf

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