Abstract
In this paper, we study a classical problem in combinatorics and computer science, Set Covering Problem. It is one of Karp’s 21 NP-complete problems, using a new and original metaheuristic, Cat Swarm Optimization. This algorithm imitates the domestic cat through two states: seeking and tracing mode. The OR-Library of Beasley instances were used for the benchmark with additional fitness function, thus the problem was transformed from Mono-objective to Bi-objective. The Cat Swarm Optimization finds a set solution non-dominated based on Pareto concepts, and an external file for storing them. The results are promising for further continue in future work optimizing this problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Caprara, A., Toth, P., Fischetti, M.: Algorithms for the set covering problem. Ann. Oper. Res. 98(1–4), 353–371 (2000)
Crawford, B., Soto, R., Berrios, N., Johnson, F., Paredes, F.: Binary cat swarm optimization for the set covering problem, pp. 1–4 (2015)
Chu, S.-C., Tsai, P.-W.: Computational intelligence based on the behavior of cats. Int. J. Innov. Comput. Inf. Control 3(1), 163–173 (2007)
Pradhan, P.M., Panda, G.: Solving multiobjective problems using cat swarm optimization. Exp. Syst. Appl. 39(3), 2956–2964 (2012)
Beasley, J.E.: A lagrangian heuristic for set-covering problems. Nav. Res. Logist. (NRL) 37(1), 151–164 (1990)
Knowles, J., Corne, D.: The pareto archived evolution strategy: a new baseline algorithm for pareto multiobjective optimisation. In: Proceedings of the 1999 Congress on Evolutionary Computation, 1999. CEC 99., vol. 1. IEEE (1999)
Acknowledgments
The author Broderick Crawford is supported by grant CONICYT/FONDECYT/REGULAR/1140897 and Ricardo Soto is supported by grant CONICYT/FONDECYT/INICIACION/11130459
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Crawford, B., Soto, R., Caballero, H., Olguín, E. (2016). A Bi-Objetive Cat Swarm Optimization Algorithm for Set Covering Problem. In: Silhavy, R., Senkerik, R., Oplatkova, Z., Silhavy, P., Prokopova, Z. (eds) Artificial Intelligence Perspectives in Intelligent Systems. Advances in Intelligent Systems and Computing, vol 464. Springer, Cham. https://doi.org/10.1007/978-3-319-33625-1_44
Download citation
DOI: https://doi.org/10.1007/978-3-319-33625-1_44
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-33623-7
Online ISBN: 978-3-319-33625-1
eBook Packages: EngineeringEngineering (R0)