Abstract
This paper considers an efficient approximate algorithm for solving k-minimum spanning tree problems which is one of the combinatorial optimization in networks. A new hybrid algorithm based on tabu search and ant colony optimization is provided. Results of numerical experiments show that the proposed method updates some of the best known values and that the proposed method provides a relatively better performance with solution accuracy over existing algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Blum, C., Blesa, M.J.: New metaheuristic approaches for the edge-weighted k-cardinality tree problem. Computers & Operations Research 32, 1355–1377 (2005)
Börndorfer, R., Ferreira, C., Martin, A.: Matrix decomposition by branch- and-cut. Technical Report, Konrad-Zuse-Zentrum für Informationstechnik, Berlin (1997)
Börndorfer, R., Ferreira, C., Martin, A.: Decomposing matrices into blocks. SIAM Journal on Optimization 9(1), 236–269 (1998)
Cheung, S.Y., Kumar, A.: Efficient quorum-cast routing algorithms. In: Proceedings of INFOCOM. IEEE Society Press, Los Alamitos (1994)
Dorigo, M., Maniezzo, V., Colorni, A.: Ant system: optimization by a colony of cooperating agents. IEEE Transactionson Systems, Man and Cybernetics: Part B 26(1), 29–41 (1996)
Dorigo, M., Gambardella, L.M.: Ant Colony System: a cooperative learning approach to the traveling salesman problem. IEEE Transactions on Evolutionary Computation 1(1), 53–66 (1997)
Fischetti, M., Hamacher, H.W., Jörnsten, K., Maffioli, F.: Weighted k-cardinality trees: complexity and polyhedral structure. Networks 24, 11–21 (1994)
Foulds, L.R., Hamacher, H.W., Wilson, J.: Integer programming approaches to facilities layout models with forbidden areas. Annals of Operations Research 81, 405–417 (1998)
Freitag, J.: Minimal k-cardinality trees, Master thesis, Department of Mathematics, University of Kaiserslautern, Germany (1993)
Garg, N., Hochbaum, D.: An O(logk) approximation algorithm for the k minimum spanning tree problem in the plane. Algorithmica 18(1), 111–121 (1997)
Glover, F., Laguna, M.: Tabu Search. Kluwer Academic Publishers, Dordrecht (1997)
Hamacher, H.W., Jörnsten, K., Maffioli, F.: Weighted k-cardinality trees. Technical Report 91.023, Politecnico di Milano, Dipartimento di Elettronica, Italy (1991)
Jörnsten, J., Løkketangen, A.: Tabu search for weighted k-cardinality trees. Asia-Pacific Journal of Operational Research 14(2), 9–26 (1997)
KCTLIB (2003), http://iridia.ulb.ac.be/~cblum/kctlib/
Marathe, M.V., Ravi, R., Ravi, S.S., Rosenkrantz, D.J., Sundaram, R.: Spanning trees short or small. SIAM Journal on Discrete Mathematics 9(2), 178–200 (1996)
Philpott, A.B., Wormald, N.C.: On the optimal extraction of ore from an open-cast mine. University of Auckland, New Zealand (1997)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Katagiri, H., Hayashida, T., Nishizaki, I., Ishimatsu, J. (2009). A Hybrid Algorithm Based on Tabu Search and Ant Colony Optimization for k-Minimum Spanning Tree Problems. In: Torra, V., Narukawa, Y., Inuiguchi, M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2009. Lecture Notes in Computer Science(), vol 5861. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04820-3_29
Download citation
DOI: https://doi.org/10.1007/978-3-642-04820-3_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04819-7
Online ISBN: 978-3-642-04820-3
eBook Packages: Computer ScienceComputer Science (R0)