An Ant Colony Optimization Algorithm for Solving Travelling Salesman Problem

Ant colony optimization (ACO) has been widely used for different combinatorial optimization problems. In this paper, we investigate ACO algorithms with respect to their runtime behavior for the traveling salesperson (TSP) problem. Ant Colony Optimization (ACO) is a heuristic algorithm which has been proven a successful technique and applied to a number of combinatorial optimization (CO) problems. The traveling salesman problem (TSP) is one of the most important combinatorial problems. There are several reasons for the choice of the TSP as the problem to explain the working of ACO algorithms it is easily understandable, so that the algorithm behavior is not obscured by too many technicalities; and it is a standard test bed for new algorithmic ideas as a good performance on the TSP is often taken as a proof of their usefulness.

[1]  Yanchun Liang,et al.  An Improved Ant Colony Optimization Algorithm Based on Route Optimization and Its Applications in Travelling Salesman Problem , 2007, 2007 IEEE 7th International Symposium on BioInformatics and BioEngineering.

[2]  Lijie Li,et al.  Improved Ant Colony Optimization for the Traveling Salesman Problem , 2008, 2008 International Conference on Intelligent Computation Technology and Automation (ICICTA).

[3]  Marco Dorigo,et al.  Distributed Optimization by Ant Colonies , 1992 .

[4]  Vittorio Maniezzo,et al.  The Ant System Applied to the Quadratic Assignment Problem , 1999, IEEE Trans. Knowl. Data Eng..

[5]  Corso Elvezia,et al.  Ant colonies for the traveling salesman problem , 1997 .

[6]  Luca Maria Gambardella,et al.  Ant colony system: a cooperative learning approach to the traveling salesman problem , 1997, IEEE Trans. Evol. Comput..

[7]  Mauro Birattari,et al.  Dm63 Heuristics for Combinatorial Optimization Ant Colony Optimization Exercises Outline Ant Colony Optimization: the Metaheuristic Application Examples Generalized Assignment Problem (gap) Connection between Aco and Other Metaheuristics Encodings Capacited Vehicle Routing Linear Ordering Ant Colony , 2022 .

[8]  T. Stützle,et al.  MAX-MIN Ant System and local search for the traveling salesman problem , 1997, Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97).

[9]  Dirk Sudholt,et al.  Running Time Analysis of ACO Systems for Shortest Path Problems , 2009, SLS.

[10]  M Dorigo,et al.  Ant colonies for the travelling salesman problem. , 1997, Bio Systems.

[11]  Bing Li,et al.  Improved Ant Colony Algorithm and its Applications in TSP , 2006, Sixth International Conference on Intelligent Systems Design and Applications.

[12]  May Aye Khine,et al.  Solving Traveling Salesman Problem by Using Improved Ant Colony Optimization Algorithm , 2011 .