A novel memetic genetic algorithm for solving traveling salesman problem based on multi-parent crossover technique

In the present study, a Novel Memetic Genetic Algorithm (NMGA) is developed to solve the Traveling Salesman Problem (TSP). The proposed NMGA is the combination of Boltzmann probability selection and a multi-parent crossover technique with known random mutation. In the proposed multi-parent crossover...

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Main Authors: Arindam Roy, Apurba Manna, Samir Maity
Format: Article
Language:English
Published: Regional Association for Security and crisis management 2019-10-01
Series:Decision Making: Applications in Management and Engineering
Subjects:
Online Access:http://www.dmame.org/index.php/dmame/article/view/41
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author Arindam Roy
Apurba Manna
Samir Maity
author_facet Arindam Roy
Apurba Manna
Samir Maity
author_sort Arindam Roy
collection DOAJ
description In the present study, a Novel Memetic Genetic Algorithm (NMGA) is developed to solve the Traveling Salesman Problem (TSP). The proposed NMGA is the combination of Boltzmann probability selection and a multi-parent crossover technique with known random mutation. In the proposed multi-parent crossover parents and common crossing point are selected randomly. After comparing the cost/distance with the adjacent nodes (genes) of participated parents, two offspring’s are produced. To establish the efficiency of the developed algorithm standard benchmarks are solved from TSPLIB against classical genetic algorithm (GA) and the fruitfulness of the proposed algorithm is recognized. Some statistical test has been done and the parameters are studied.
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spelling doaj.art-c02f71df56c641f3b9bdac057afbc78c2022-12-22T01:05:17ZengRegional Association for Security and crisis managementDecision Making: Applications in Management and Engineering2560-60182620-01042019-10-012210011141A novel memetic genetic algorithm for solving traveling salesman problem based on multi-parent crossover techniqueArindam Roy0Apurba Manna1Samir Maity2Deptartment of Computer Science, Prabhat Kumar College, Purba Medinipur, West Bengal, IndiaDeptartment of Computer Science, Prabhat Kumar College, Purba Medinipur, West Bengal, IndiaOperations Management Group, Indian Institute of Management, Kolkata, IndiaIn the present study, a Novel Memetic Genetic Algorithm (NMGA) is developed to solve the Traveling Salesman Problem (TSP). The proposed NMGA is the combination of Boltzmann probability selection and a multi-parent crossover technique with known random mutation. In the proposed multi-parent crossover parents and common crossing point are selected randomly. After comparing the cost/distance with the adjacent nodes (genes) of participated parents, two offspring’s are produced. To establish the efficiency of the developed algorithm standard benchmarks are solved from TSPLIB against classical genetic algorithm (GA) and the fruitfulness of the proposed algorithm is recognized. Some statistical test has been done and the parameters are studied.http://www.dmame.org/index.php/dmame/article/view/41TSP, Memetic GA, multi-parent crossover.
spellingShingle Arindam Roy
Apurba Manna
Samir Maity
A novel memetic genetic algorithm for solving traveling salesman problem based on multi-parent crossover technique
Decision Making: Applications in Management and Engineering
TSP, Memetic GA, multi-parent crossover.
title A novel memetic genetic algorithm for solving traveling salesman problem based on multi-parent crossover technique
title_full A novel memetic genetic algorithm for solving traveling salesman problem based on multi-parent crossover technique
title_fullStr A novel memetic genetic algorithm for solving traveling salesman problem based on multi-parent crossover technique
title_full_unstemmed A novel memetic genetic algorithm for solving traveling salesman problem based on multi-parent crossover technique
title_short A novel memetic genetic algorithm for solving traveling salesman problem based on multi-parent crossover technique
title_sort novel memetic genetic algorithm for solving traveling salesman problem based on multi parent crossover technique
topic TSP, Memetic GA, multi-parent crossover.
url http://www.dmame.org/index.php/dmame/article/view/41
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