The Combination of Ant Colony Optimization (ACO) and Tabu Search (TS) Algorithm to Solve the Traveling Salesman Problem (TSP)

Author(s):  
Rico Wijaya Dewantoro ◽  
Poltak Sihombing ◽  
Sutarman
Author(s):  
Li Xu

TSP (traveling salesman problem) is a classical problem in combinatorial optimization. It's not totally solved; the route number and the number of cities has increased exponentially, so we couldn't find the best solution easily. This paper does a lot research of tabu search (TS) besides AA and proposes a new algorithm. Making use of TS's advantages, the new proposed algorithm's performance is meliorated. Firstly, aiming at solving AA's slow convergence, the authors increase the pheromone of the best route, decrease the pheromone of the worst route, to increase the conductive ability of the pheromone to the algorithm. Secondly, aiming at solving AA's being premature, this paper introduces TS into AS's every iteration. The TS can help the algorithm find a better solution. So, the new algorithm's convergence speed is quickened, and its performance is improved. At last, this paper applied the algorithm to the traveling salesman problem to test its performances. The simulation results show that the new algorithm could find optimum solutions more effectively in time and quantity.


2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Ho-Yoeng Yun ◽  
Suk-Jae Jeong ◽  
Kyung-Sup Kim

We propose a novel heuristic algorithm based on the methods of advanced Harmony Search and Ant Colony Optimization (AHS-ACO) to effectively solve the Traveling Salesman Problem (TSP). The TSP, in general, is well known as an NP-complete problem, whose computational complexity increases exponentially by increasing the number of cities. In our algorithm, Ant Colony Optimization (ACO) is used to search the local optimum in the solution space, followed by the use of the Harmony Search to escape the local optimum determined by the ACO and to move towards a global optimum. Experiments were performed to validate the efficiency of our algorithm through a comparison with other algorithms and the optimum solutions presented in the TSPLIB. The results indicate that our algorithm is capable of generating the optimum solution for most instances in the TSPLIB; moreover, our algorithm found better solutions in two cases (kroB100 and pr144) when compared with the optimum solution presented in the TSPLIB.


1998 ◽  
Vol 01 (02n03) ◽  
pp. 149-159 ◽  
Author(s):  
Hozefa M. Botee ◽  
Eric Bonabeau

Ant Colony Optimization (ACO) is a promising new approach to combinatorial optimization. Here ACO is applied to the traveling salesman problem (TSP). Using a genetic algorithm (GA) to find the best set of parameters, we demonstrate the good performance of ACO in finding good solutions to the TSP.


Sign in / Sign up

Export Citation Format

Share Document