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2019 | OriginalPaper | Buchkapitel

13. A Modified and Enhanced Ant Colony Optimization Algorithm for Traveling Salesman Problem

verfasst von : Leila Eskandari, Ahmad Jafarian, Parastoo Rahimloo, Dumitru Baleanu

Erschienen in: Mathematical Methods in Engineering

Verlag: Springer International Publishing

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Abstract

In this paper an effective modification has been performed on the Ant Colony Optimization algorithm and used for solving traveling salesman problem (TSP). The traveling salesman problem is one of the famous and important problems and it has been used in the algorithms to analyze its performance in solving the discreet problems. The modified and enhanced ACO has been used for solving this problem and it is called MEACO. In MEACO the modification has been performed by taking effect of mutation on the global best and personal best of each ant. The personal best is stored for each ant same as the PSO algorithm. Original ACO for discrete problems mostly trap in the local solutions, but the proposed method has been designed to cover this deficiency and make it more suitable for optimization of discrete problems. The experiment on the set of benchmark problems for Traveling salesman was performed and obtained results showed that MEACO is an effective method in finding the path for TSP.

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Literatur
1.
Zurück zum Zitat Abdel-Moetty, S.M.: Traveling salesman problem using neural network techniques. In: The 7th International Conference on Informatics and Systems (INFOS), Cairo, pp. 1–6 (2010) Abdel-Moetty, S.M.: Traveling salesman problem using neural network techniques. In: The 7th International Conference on Informatics and Systems (INFOS), Cairo, pp. 1–6 (2010)
2.
Zurück zum Zitat Chandra, B., Karloff, H., Tovey, C.: New results on the old k-opt algorithm for the traveling salesman problem. SIAM J. Comput. 28(6), 1998–2029 (1999)MathSciNetCrossRef Chandra, B., Karloff, H., Tovey, C.: New results on the old k-opt algorithm for the traveling salesman problem. SIAM J. Comput. 28(6), 1998–2029 (1999)MathSciNetCrossRef
3.
Zurück zum Zitat Chiung, M., Jongsoo, K., Gyunghyun, C., Yoonho, S.: An efficient genetic algorithm for the traveling salesman problem with precedence constraints. Eur. J. Oper. Res. 40, 606–617 (2002)MathSciNetMATH Chiung, M., Jongsoo, K., Gyunghyun, C., Yoonho, S.: An efficient genetic algorithm for the traveling salesman problem with precedence constraints. Eur. J. Oper. Res. 40, 606–617 (2002)MathSciNetMATH
4.
Zurück zum Zitat Elloumi, W., Abed, H.E., Abraham, A., Alimi, A.M.:. A comparative study of the improvement of performance using a PSO modified by ACO applied to TSP. Appl. Soft Comput. 25, 234–241 (2014)CrossRef Elloumi, W., Abed, H.E., Abraham, A., Alimi, A.M.:. A comparative study of the improvement of performance using a PSO modified by ACO applied to TSP. Appl. Soft Comput. 25, 234–241 (2014)CrossRef
5.
Zurück zum Zitat Garcia, S., Molina, D., Lozano, M., Herrera, F.: A study on the use of non-parametric tests for analyzing the evolutionary algorithms’ behaviour: a case study on the CEC’2005 special session on real parameter optimization. J. Heuristics 15, 617–644 (2009)CrossRef Garcia, S., Molina, D., Lozano, M., Herrera, F.: A study on the use of non-parametric tests for analyzing the evolutionary algorithms’ behaviour: a case study on the CEC’2005 special session on real parameter optimization. J. Heuristics 15, 617–644 (2009)CrossRef
6.
Zurück zum Zitat Geng, X., Chen, Z., Yang, W., Shi, D., Zhao, K.: Solving the traveling salesman problem based on an adaptive simulated annealing algorithm with greedy search. Soft Comput. 11(4), 3680–3689 (2011)CrossRef Geng, X., Chen, Z., Yang, W., Shi, D., Zhao, K.: Solving the traveling salesman problem based on an adaptive simulated annealing algorithm with greedy search. Soft Comput. 11(4), 3680–3689 (2011)CrossRef
7.
Zurück zum Zitat Jolaia, F., Tavakkoli-Moghaddama, R., Rabieeb, M., Gheisariha, E.: An enhanced invasiveweed optimization for makespan minimization in a flexible flowshop scheduling problem. Scientia Iranica 21(3), 1007–1020 (2014) Jolaia, F., Tavakkoli-Moghaddama, R., Rabieeb, M., Gheisariha, E.: An enhanced invasiveweed optimization for makespan minimization in a flexible flowshop scheduling problem. Scientia Iranica 21(3), 1007–1020 (2014)
8.
Zurück zum Zitat Li, Y.: Solving TSP by an ACO-and-BOA-based hybrid algorithm. Comput. Appl. Syst. Model. 12, 189–192 (2010) Li, Y.: Solving TSP by an ACO-and-BOA-based hybrid algorithm. Comput. Appl. Syst. Model. 12, 189–192 (2010)
9.
Zurück zum Zitat Mahi, M., Baykan, O.K., Kodaz, H.: A new hybrid method based on particle swarm optimization, ant colony optimization and 3-opt algorithms for traveling salesman problem. Appl. Soft Comput. 30, 484–490 (2015)CrossRef Mahi, M., Baykan, O.K., Kodaz, H.: A new hybrid method based on particle swarm optimization, ant colony optimization and 3-opt algorithms for traveling salesman problem. Appl. Soft Comput. 30, 484–490 (2015)CrossRef
10.
Zurück zum Zitat Schrijver’s, A., Aardal, K., Nemhauser, G.L., Weismantel, R. (eds.): On the history of combinatorial optimization. In: Discrete Optimization, pp. 1–68. Elsevier, Amesterdam (2005) Schrijver’s, A., Aardal, K., Nemhauser, G.L., Weismantel, R. (eds.): On the history of combinatorial optimization. In: Discrete Optimization, pp. 1–68. Elsevier, Amesterdam (2005)
11.
Zurück zum Zitat Shi, X.H., Liang, Y.C., Lee, H.P., Lu, C., Wang, Q.X.: Particle swarm optimization-based algorithms for TSP and generalized TSP. Inform. Process. 103(5), 169–176 (2007)MathSciNetCrossRef Shi, X.H., Liang, Y.C., Lee, H.P., Lu, C., Wang, Q.X.: Particle swarm optimization-based algorithms for TSP and generalized TSP. Inform. Process. 103(5), 169–176 (2007)MathSciNetCrossRef
13.
Zurück zum Zitat Wang, Z., Guo, J., Zheng, M., Wang, Y.: Uncertain multiobjective traveling salesman problem. Eur. J. Oper. Res. 241, 478–489 (2015)MathSciNetCrossRef Wang, Z., Guo, J., Zheng, M., Wang, Y.: Uncertain multiobjective traveling salesman problem. Eur. J. Oper. Res. 241, 478–489 (2015)MathSciNetCrossRef
14.
Zurück zum Zitat Xiaoming, Z., Rujing, W., Liangtu, S.: A novel evolutionary algorithm bean optimization algorithm. Pattern Recognit. Artif. Intell. 21(5), 677–681 (2008) Xiaoming, Z., Rujing, W., Liangtu, S.: A novel evolutionary algorithm bean optimization algorithm. Pattern Recognit. Artif. Intell. 21(5), 677–681 (2008)
15.
Zurück zum Zitat Yang, J., Shi, P., Marchese, M., Liang, Y.: An ant colony optimization method for generalized TSP problem. Prog. Nat. Sci. 18, 1417–1422 (2008)MathSciNetCrossRef Yang, J., Shi, P., Marchese, M., Liang, Y.: An ant colony optimization method for generalized TSP problem. Prog. Nat. Sci. 18, 1417–1422 (2008)MathSciNetCrossRef
Metadaten
Titel
A Modified and Enhanced Ant Colony Optimization Algorithm for Traveling Salesman Problem
verfasst von
Leila Eskandari
Ahmad Jafarian
Parastoo Rahimloo
Dumitru Baleanu
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-91065-9_13

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