A comparative analysis of genetic algorithms on a case study of asymmetric traveling salesman problem

Amit Raj, Parul Punia and Pawan Kumar ()
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Amit Raj: Central University of Haryana
Parul Punia: Central University of Haryana
Pawan Kumar: Central University of Haryana

International Journal of System Assurance Engineering and Management, 2023, vol. 14, issue 6, No 49, 2684-2694

Abstract: Abstract In the present paper, the genetic algorithm and some of its variants i.e. adaptive genetic algorithm, binary-coded genetic algorithm and real-coded genetic algorithm are applied to the Asymmetric Traveling Salesman Problem (ATSP). ATSP is one of the most widely studied combinatorial NP-hard problems of finding the shortest path. The present ATSP is a novel real-life case of the shortest path problem based on the distances between 22 districts of Haryana, India. To solve the above problem, one-point crossover and exchange mutation are applied to compare the performance of these algorithms on different parameters such as the size of the population, the number of iterations, and the rate of crossover. The main objective of this paper is to study the influence of these parameters on ATSP. Numerical results show that the binary genetic algorithm worked better in terms of the size of the population and the number of iterations, while the real-coded genetic algorithm worked better in terms of the rate of crossover. Graphical abstract

Keywords: Asymmetric traveling salesman problem; Genetic algorithms; Population size; Crossover (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13198-023-02161-2

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