Million city traveling salesman problem solution by divide and conquer clustering with adaptive resonance neural networks

2003 ◽  
Vol 16 (5-6) ◽  
pp. 827-832 ◽  
Author(s):  
Samuel A. Mulder ◽  
Donald C. Wunsch
2021 ◽  
Vol 11 (11) ◽  
pp. 4780
Author(s):  
Muhammad Salman Qamar ◽  
Shanshan Tu ◽  
Farman Ali ◽  
Ammar Armghan ◽  
Muhammad Fahad Munir ◽  
...  

This work presents a novel Best-Worst Ant System (BWAS) based algorithm to settle the Traveling Salesman Problem (TSP). The researchers has been involved in ordinary Ant Colony Optimization (ACO) technique for TSP due to its versatile and easily adaptable nature. However, additional potential improvement in the arrangement way decrease is yet possible in this approach. In this paper BWAS based incorporated arrangement as a high level type of ACO to upgrade the exhibition of the TSP arrangement is proposed. In addition, a novel approach, based on hybrid Particle Swarm Optimization (PSO) and ACO (BWAS) has also been introduced in this work. The presentation measurements of arrangement quality and assembly time have been utilized in this work and proposed algorithm is tried against various standard test sets to examine the upgrade in search capacity. The outcomes for TSP arrangement show that initial trail setup for the best particle can result in shortening the accumulated process of the optimization by a considerable amount. The exhibition of the mathematical test shows the viability of the proposed calculation over regular ACO and PSO-ACO based strategies.


2014 ◽  
Vol 4 (4(70)) ◽  
pp. 18
Author(s):  
Ігор Андрійович Могила ◽  
Ірина Іванівна Лобач ◽  
Оксана Андріївна Якимець

1993 ◽  
Vol 1 (4) ◽  
pp. 313-333 ◽  
Author(s):  
Christine L. Valenzuela ◽  
Antonia J. Jones

Experiments with genetic algorithms using permutation operators applied to the traveling salesman problem (TSP) tend to suggest that these algorithms fail in two respects when applied to very large problems: they scale rather poorly as the number of cities n increases, and the solution quality degrades rapidly. We propose an alternative approach for genetic algorithms applied to hard combinatoric search which we call Evolutionary Divide and Conquer (EDAC). This method has potential for any search problem in which knowledge of good solutions for subproblems can be exploited to improve the solution of the problem itself. The idea is to use the genetic algorithm to explore the space of problem subdivisions rather than the space of solutions themselves. We give some preliminary results of this method applied to the geometric TSP.


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