Solving Travelling Salesman Problem Using Greedy Genetic Algorithm GGA

Abstract

Solving hard problems like the Travelling Salesman Problem (TSP) is a major challenge faced by analysts even though many techniques are available. The main goal of TSP is that a number of cities should be visited by a salesman and return to the starting city along a number of possible shortest paths. TSP is although looking a simple problem, but it is an important problem of the classical optimization problems that are difficult to solve conventionally. It has been proved that solving TSP by the conventional approaches in a reasonable time is not possible. So, the only feasible option left is to use heuristic algorithms. In this article, we apply and investigate a new heuristic approach called Heart algorithm to solve Travelling Salesman Problem. It simulates the heart action and circulatory system procedure in the human beings for searching the problem space. The Heart algorithm has the advantages of strong robustness, fast convergence, fewer setting parameters and simplicity. The results of the Heart algorithm on several standard TSP instances is compared with the results of the PSO and ACO algorithms and show that the Heart algorithm performs well in finding the shortest distance within the minimum span of time.