A Modified Ant Colony Algorithm for Traveling Salesman Problem

Authors

  • Xianmin Wei School of computer engineering, Weifang University, Weifang 261061, P.R. China
  • Liqi Han School of computer engineering, Weifang University, Weifang 261061, P.R. China
  • Lu Hong School of computer engineering, Weifang University, Weifang 261061, P.R. China

Keywords:

Traveling Salesman Problem (TSP), Ant Colony Optimization (ACO), Cultural Algorithm (CA)

Abstract

Ant colony algorithms such as Ant Colony Optimization (ACO) have
been effectively applied to solve the Traveling Salesman problem (TSP). However,
traditional ACO algorithm has some issues such as long iterative length and prone to
local convergence. To this end, we propose we embed ACO into Cultural Algorithm
(CA) framework by leveraging the dual inheritance mechanism. Best solutions are
evolved in both population space and belief space, and the communication between
them is achieved by accept and influence operations. Besides, we employ multiple
population spaces for parallel execution. Experiments show that the performance of
our proposed algorithm is greatly improved.

References

Lenstra J., Kan A., Shmoys D. (1985), The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization, Vol. 3, New York: Wiley, USA.

Xing G., Wang T., Jia W., Li M. (2008), Rendezvous Design Algorithms for Wireless Sensor Networks with a Mobile Base Station, Proc. of the 9th ACM International Symposium on Mobile ad hoc Networking and Computing 2008, ACM, 231-240.

Feillet D., Pierre D., Michel G. (2005), Traveling Salesman Problems with Profits, Transportation Science, ISSN 0041-1655, 39(2): 188-205.

Tariq M., Ammar M., Zegura E. (2006), Message Ferry Route Design for Sparse ad hoc Networks with Mobile Nodes, Proc. of the 7th ACM International Symposium on Mobile ad hoc Networking and Computing, Florence, Italy, 37-18.

Dorigo M. (2006); Ant Colony Optimization and Swarm Intelligence, Proc. of 5th International Workshop, ANTS 2006, Brussels, Belgium, Vol. 4150, Springer.

Reynolds R. (1994), An Introduction to Cultural Algorithms, Proc. of the Third Annual Conference on Evolutionary Programming, Singapore, 131-139.

Gu J., Fan P., Song Q. (2010), Improved Culture Ant Colony Optimization Method for Solving TSP Problem. Computer Engineering and Applications, ISSN 1002-8331, 46(26):49- 52.

Liu S., Wang X., You X. (2009), A Cultural Ant Colony System for Solving TSP Problem. Journal of East China University of Science and Technology (Natural Science Edition), ISSN 1671-4512, 35(2):288-292.

Dorigo M., Vittorio M., Alberto C. (1996), Ant System: Optimization by A Colony of Cooperating Agents, Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on, 26(1) : 29-41.

B. Bullnheimer B., Hartl R., Strauss C. (1997), A New Rank Based Version of the Ant System, A Computational Study.

Gutjahr W. (2000), A Graph-based Ant System and Its Convergence, Future Generation Computer Systems, ISSN 0167-739X, 16(8): 873-888.

Gambardella L., Dorigo M. (1995), Ant-Q: A Reinforcement Learning Approach to the Traveling Salesman Problem, ICML, 252-260.

Dorigo M., Luca M. (1996), A Study of Some Properties of Ant-Q, Parallel Problem Solving from Nature-PPSN IV, Springer, Berlin, Heidelberg, 656-665. http://dx.doi.org/10.1007/3-540-61723-X_1029

Ciornei I., Elias K. (2012), Hybrid Ant Colony-genetic Algorithm (GAAPI) for Global Continuous Optimization, Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on, 42(1): 234-245.

Stutzle T., Holger H.(1997), MAX-MIN Ant System and Local Search for the Traveling Salesman Problem, Proc. of the 1997 IEEE International Conference on Evolutionary Computation, ICEC'97, Indianapolis, IN, USA, 309-314.

Gutjahr W. (2003), A Generalized Convergence Result for the Graph-based Ant System Metaheuristic, Probability in the Engineering and Informational Sciences, ISSN 0269-9648, 17(4): 545-569.

Gutjahr W. (2003), A Converging ACO Algorithm for Stochastic Combinatorial Optimization, Stochastic Algorithms: Foundations and Applications. Springer Berlin, Heidelberg, 10-25.

T. Stützle, M. Dorigo (2002), A Short Convergence Proof for A Class of Ant Colony Optimization Algorithms, IEEE Trans. Evolutionary Computation, ISSN 1089- 778X, 6(4): 358-365.

Y. Zhou (2009), Runtime Analysis of an Ant Colony Optimization Algorithm for TSP Instances, IEEE Trans. Evolutionary Computation, ISSN 1089-778X, 13(5): 1083-1092.

Zhang P., Jie L., Ling X. (2010), An Adaptive Heterogeneous Multiple Ant Colonies Algorithm, Journal of Intelligent Systems, ISSN 2191-026X, 19(4): 301-314.

Tuba M., Jovanovic R. (2013); Improved ACO Algorithm with Pheromone Correction Strategy for the Traveling Salesman Problem. International Journal of Computers Communications & Control, 8(3):477-485. http://dx.doi.org/10.15837/ijccc.2013.3.7

Negulescu S.C., Dzitac I., Lascu A.E. (2010); Synthetic genes for artificial ants. Diversity in ant colony optimization algorithms. International Journal of Computers Communications & Control: 5(2):216-223.

Synthetic genes for artificial ants. Diversity in ant colony optimization algorithms.International Journal of Computers Communications & Control: 5(2):216-223.

Gajpal Y., Prakash A. (2009), An Ant Colony System (ACS) for Vehicle Routing Problem with Simultaneous Delivery and Pickup, Computers & Operations Research, ISSN 0305-0548, 36(12): 3215-3223.

X. Hu, Z. Jun, L. Yun (2008), Orthogonal Methods Based Ant Colony Search for Solving Continuous Optimization Problems, Journal of Computer Science and Technology, ISSN: 1000-9000, 23(1): 2-18.

Ghoseiri K., Behnam N. (2010), An Ant Colony Optimization Algorithm for the Bi-objective Shortest Path Problem, Applied Soft Computing, ISSN: 1568-4946, 10(4): 1237-1246. [26] Gajpal Y., Prakash L.A. (2009), Multi-ant Colony System (MACS) for a Vehicle Routing Problem with Backhauls, European Journal of Operational Research, ISSN: 0377-2217, 196(1): 102-117.

Secui D.C., Dzitac S., Bendea G.V., Dzitac I. (2009); An ACO Algorithm for Optimal Capacitor Banks Placement in Power Distribution Networks, Studies in Informatics and Control, 18(4): 305-314.

Chung C.J., Robert G.R. (1998), CAEP: An Evolution-based Tool for Real-valued Function Optimization Using Cultural Algorithms, International Journal on Artificial Intelligence Tools, ISSN: 0218-2130, 7(3): 239-291.

Liu S., Wang X., You X.M. (2007), Cultured Differential Particle Swarm Optimization for Numerical Optimization Problems, ICNC 2007. Proc. of Third International Conference on Natural Computation, Haikou, Hainan, China, 642-646. http://dx.doi.org/10.1109/ICNC.2007.322

Ma J. (2008), Research on Cultural Algorithm for Solving Routing Problem of Mobile Agent, The Journal of China Universities of Posts and Telecommunications, ISSN:1002- 1310, 15(4): 121-125.

Published

2014-08-05

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.