Abstract
Optimal Communication Spanning Tree (OCST) is a well-known NP-hard problem on the graph that seeks for the spanning tree with the lowest cost. The tree cost depends on the communication volume between each pair of nodes. This paper proposed an improved Genetic Algorithm combining with Ahujia and Murty’s Tree Improvement Procedure. The proposed algorithm was experimented on known benchmark tests which used in many papers related to OCST problem, and random instances from 200 to 500 vertexes. The experimental results show that the proposed algorithm is better than the heuristic and out-performance the most recent evolutionary algorithm approaches.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hu TC (1974) Optimum communication spanning trees. SIAM J Comput 3:188–195
Johnson DS, Lenstra JK, Kan AHGR (1978) The complexity of the network design problem. Networks 8:279–285 Winter 1978
Reshef E (1999) Approximating minimum communication cost spanning trees and related problems. In Master’s thesis, Feinberg Graduate School of the Weizmann Institute of Science, Rehovot 76100, Israel
Ahuja RK, Murty VVS (1987) Exact and heuristic algorithms for the optimum communication spanning tree problem. Transp Sci 21(3):163–170
Palmer CC, Kershenbaum A (1994) Representing trees in genetic algorithms. In: Proceedings of the 1st IEEE conference on evolutionary computation, vol 1, IEE Service Center, Piscataway, NJ, pp 379–384
Soak SM (2006) New evolutionary approach for the optimal communication spanning tree problem. IEICE Trans 89(10):2882–2893
Fischer T, Merz P (2007) A memetic algorithm for the optimum communication spanning tree problem. In: Bartz-Beielstein T, Aguilera M, Blum C, Naujoks B, Roli A, Rudolph G, Sampels M (eds) HM: 4th international workshop on hybrid metaheuristics, vol 4771. Springer, Berlin, pp 170–184
Hoang AT, Le VT, Nguyen NG (2010) A novel particle swarm optimization-based algorithm for the optimal communication spanning tree problem. In: Proceedings of the 2010 2nd international conference on communication software and networks, pp 232–236, Feb 2010
Kien PT, Hiep ND, Binh HTT (2011) New hybrid genetic algorithm for solving optimal communication spanning tree problem. In: The 26th symposium on applied computing, Taiwan, pp 1076–1081
Rothlauf F (2006) Representations for genetic and evolutionary algorithms, 2 edn, Springer
Rothlauf F (2009) On optimal solutions for the optimal communication spanning tree problem. Oper Res 57(2):4
Acknowledgment
This work was partially supported by the project “Direction-based Evolutionary Algorithms” funded by the National Foundation of Science and Technology Development.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hiep, N.D., Binh, H.T.T. (2013). Improved Genetic Algorithm for Solving Optimal Communication Spanning Tree Problem. In: Yin, Z., Pan, L., Fang, X. (eds) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Advances in Intelligent Systems and Computing, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37502-6_49
Download citation
DOI: https://doi.org/10.1007/978-3-642-37502-6_49
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37501-9
Online ISBN: 978-3-642-37502-6
eBook Packages: EngineeringEngineering (R0)