Abstract
This paper introduces a new approach of firefly algorithm based on opposition-based learning (OBFA) to enhance the global search ability of the original algorithm. The new algorithm employs opposition based learning concept to generate initial population and also updating agents’ positions. The proposed OBFA is applied for minimization of the factor of safety and search for critical failure surface in slope stability analysis. The numerical experiments demonstrate the effectiveness and robustness of the new algorithm.
Similar content being viewed by others
References
Chen, Z. and Shao, C., 1988. Evaluation of minimum factor of safety in slope stability analysis, Can. Geotech. J., 25(4): 735–748.
Cheng, Y., 2003. Location of critical failure surface and some further studies on slope stability analysis, Comput. Geotech., 30(3): 255–267.
Cheng, Y., Li, L. and Chi, S., 2007. Performance studies on six heuristic global optimization methods in the location of critical slip surface, Comput. Geotech., 34(6): 462–484.
Cheng, Y., Li, L., Lansivaara, T., Chi, S. and Sun, Y., 2008. An improved harmony search minimization algorithm using different slip surface generation methods for slope stability analysis, Eng. Optim., 40(2): 95–115.
Greco, V. R., 1996. Efficient Monte Carlo technique for locating critical slip surface, J. Geotech. Eng., 122(7): 517–525.
Khajehzadeh, M., Taha, M. R. and El-Shafie, A., 2011. Reliability analysis of earth slopes using hybrid chaotic particle swarm optimization, J. Cent. South Univ. Technol., 18(5): 1626–1637.
Khajehzadeh, M., Taha, M. R., El-Shafie, A. and Eslami, M., 2012. A modified gravitational search algorithm for slope stability analysis, Eng. Appl. Artif. Intel., 25(8): 1589–1597.
Li, L. and Chu, X. S., 2011. An improved particle swarm optimization algorithm with harmony strategy for the location of critical slip surface of slopes, China Ocean Eng., 25(2): 357–364.
Li, L., Yu, G. M., Chen, Z. Y. and Chu, X. S., 2010. Discontinuous flying particle swarm optimization algorithm and its application to slope stability analysis, J. Cent. South Univ. Technol., 17(4): 852–856.
Li, L., Cheng, Y. M. and Chu, X. S., 2013. A new approach to the determination of the critical slip surfaces of slopes, China Ocean Eng., 27(1): 51–64.
Li, S. J., Shangguan, Z., Duan, H., Liu, Y. and Luan, M., 2009. Searching for critical failure surface in slope stability analysis by using hybrid genetic algorithm, Geomech. Eng., 1(1): 85–96.
Morgenstern, N. R. and Price, V. E., 1965. The analysis of the stability of general slip surfaces, Geotechinque, 15(1): 79–93.
Spencer, E., 1967. A method of analysis of the stability of embankments assuming parallel inter-slice forces, Geotechnique, 17(1): 11–26.
Sun, J., Li, J. and Liu, Q., 2008. Search for critical slip surface in slope stability analysis by spline-based GA method, J. Geotech. Geoenviron. Eng., 134(2): 252–256.
Tizhoosh, H. R., 2005. Opposition-based learning: A new scheme for machine intelligence, Proceedings of the International Conference on Computational Intelligence for Modelling Control and Automation, Vienna, Austria.
Yamagami, T. and Ueta, Y., 1988. Search for noncircular slip surfaces by the Morgenstern-Price method, Proceedings of the 6th International Conference on Numerical Methods in Geomechanics, 1335–1340.
Yang, X. S., 2008. Nature-Inspired Metaheuristic Algorithms, Beckington, Luniver Press.
Yang, X. S., 2009. Firefly algorithms for multimodal optimization, Lecture Notes in Computer Sciences, 5792, 169–178.
Zhang, K. and Cao, P., 2011. Modified electromagnetism-like algorithm and its application to slope stability analysis, J. Cent. South Univ. Technol., 18(6): 2100–2107.
Zhu, D., Lee, C., Qian, Q. and Chen, G., 2005. A concise algorithm for computing the factor of safety using the Morgenstern-Price method, Can. Geotech. J., 42(1): 272–278.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Khajehzadeh, M., Taha, M.R. & Eslami, M. Opposition-based firefly algorithm for earth slope stability evaluation. China Ocean Eng 28, 713–724 (2014). https://doi.org/10.1007/s13344-014-0055-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13344-014-0055-y