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A Learning Automata based Algorithm for Solving Traveling Salesman Problem improved by Frequency-based Pruning

by Mir Mohammad Alipour
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 46 - Number 17
Year of Publication: 2012
Authors: Mir Mohammad Alipour
10.5120/7007-9328

Mir Mohammad Alipour . A Learning Automata based Algorithm for Solving Traveling Salesman Problem improved by Frequency-based Pruning. International Journal of Computer Applications. 46, 17 ( May 2012), 7-13. DOI=10.5120/7007-9328

@article{ 10.5120/7007-9328,
author = { Mir Mohammad Alipour },
title = { A Learning Automata based Algorithm for Solving Traveling Salesman Problem improved by Frequency-based Pruning },
journal = { International Journal of Computer Applications },
issue_date = { May 2012 },
volume = { 46 },
number = { 17 },
month = { May },
year = { 2012 },
issn = { 0975-8887 },
pages = { 7-13 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume46/number17/7007-9328/ },
doi = { 10.5120/7007-9328 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:39:58.534423+05:30
%A Mir Mohammad Alipour
%T A Learning Automata based Algorithm for Solving Traveling Salesman Problem improved by Frequency-based Pruning
%J International Journal of Computer Applications
%@ 0975-8887
%V 46
%N 17
%P 7-13
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Many real world industrial applications involve finding a Hamiltonian path with minimum cost. Some instances that belong to this category are transportation routing problem, scan chain optimization and drilling problem in integrated circuit testing and production. Distributed learning automata, that is a general searching tool and is a solving tool for variety of NP-complete problems, together with 2-opt local search is used to solve the Traveling Salesman Problem (TSP). Two mechanisms named frequency-based pruning strategy (FBPS) and fixed-radius near neighbour (FRNN) 2-opt are used to reduce the high overhead incurred by 2-opt in the DLA algorithm proposed previously. Using FBPS only a subset of promising solutions are proposed to perform 2-opt. Invoking geometric structure, FRNN 2-opt implements efficient 2-opt in a permutation of TSP sequence. Proposed algorithms are tested on a set of TSP benchmark problems and the results show that they are able to reduce computational time, while maintaining the average solution quality at 0. 62% from known optimal.

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Index Terms

Computer Science
Information Sciences

Keywords

Traveling Salesman Problem Distributed Learning Automata Frequency-based Pruning Strategy Fixed-radius Near Neighbour

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