International Journal of Computing Science and Applied Mathematics
Vol 5, No 2 (2019)

A Genetic Algorithm with Best Combination Operator for the Traveling Salesman Problem

Muhammad Luthfi Shahab (Institut Teknologi Sepuluh Nopember)
Titin J. Ambarwati (Institut Teknologi Sepuluh Nopember)
Soetrisno Soetrisno (Institut Teknologi Sepuluh Nopember)
Mohammad Isa Irawan (Institut Teknologi Sepuluh Nopember)



Article Info

Publish Date
17 Aug 2019

Abstract

In this research, we propose a genetic algorithm with best combination operator (BC(x,y)O) for the traveling salesman problem. The idea of best combination operator is to find the best combination of some disjoint sub-solutions (also the reverse of sub-solutions) from some known solutions. We use BC(2,1)O together with a genetic algorithm. The proposed genetic algorithm uses the swap mutation operator and elitism replacement with filtration for faster computational time. We compare the performances of GA (genetic algorithm without BC(2,1)O), IABC(2,1)O (iterative approach of BC(2,1)O), and GABC(2,1)O (genetic algorithm with BC(2,1)O). We have tested GA, IABC(2,1)O, and GABC(2,1)O three times and pick the best solution on 50 problems from TSPLIB. From those 50 problems, the average of the accuracy from GA, IABC(2,1)O, and GABC(2,1)O are 65.12%, 94.21%, and 99.82% respectively.

Copyrights © 2019






Journal Info

Abbrev

ijcsam

Publisher

Subject

Computer Science & IT Education Mathematics

Description

(IJCSAM) International Journal of Computing Science and Applied Mathematics is an open access journal publishing advanced results in the fields of computations, science and applied mathematics, as mentioned explicitly in the scope of the journal. The journal is geared towards dissemination of ...