Parameter Estimation of the Nonlinear Muskingum Model Using Parameter-Setting-Free Harmony Search
Publication: Journal of Hydrologic Engineering
Volume 16, Issue 8
Abstract
Although phenomenon-mimicking algorithms, such as genetic algorithms, particle swarm optimization, and harmony search, have overcome the disadvantages of mathematical algorithms, such as the nonlinear least-squares method, segmented least-squares method, Lagrange multiplier method, a hybrid of pattern search and local search, and the Broyden-Fletcher-Goldfarb-Shanno technique, the algorithms have an inherent shortcoming. They require a tedious and skillful parameter-setting process for the algorithm parameters, such as the crossover rate, mutation rate, acceleration coefficients, harmony memory considering rate, and pitch-adjusting rate. Thus, this study proposes a novel parameter-setting-free technique interfaced with a harmony search algorithm and applies it to the parameter estimation of the nonlinear Muskingum model, which is an optimization problem with continuous decision variables. Results show that the proposed technique found good model parameter values while outperforming a classical harmony search algorithm with fixed algorithm parameter values.
Get full access to this article
View all available purchase options and get full access to this article.
References
Ayvaz, M. T. (2009). “Application of harmony search algorithm to the solution of groundwater management models.” Adv. Water Resour., 32(6), 916–924.
Cheng, Y. M., Li, L., Lansivaara, T., Chi, S. C., and Sun, Y. J. (2008). “An improved harmony search minimization algorithm using different slip surface generation methods for slope stability analysis.” Eng. Optim., 40(2), 95–115.
Chu, H. J., and Chang, L. C. (2009). “Applying particle swarm optimization to parameter estimation of the nonlinear muskingum model.” J. Hydrol. Eng., 14(9), 1024–1027.
Das, A. (2004). “Parameter estimation for muskingum models.” J. Irrig. Drain Eng., 130(2), 140–147.
Geem, Z. W. (2006). “Parameter estimation for the nonlinear muskingum model using BFGS technique.” J. Irrig. Drain Eng., 132(5), 474–478.
Geem, Z. W. (2008). “Novel derivative of harmony search algorithm for discrete design variables.” Appl. Math. Comput., 199(1), 223–230.
Geem, Z. W. (2009). “Particle-swarm harmony search for water network design.” Eng. Optim., 41(4), 297–311.
Geem, Z. W. (2010). “Multiobjective optimization of time-cost trade-off using harmony search.” J. Constr. Eng. Manage., 136(6), 711–716.
Geem, Z. W., Kim, J. H., and Loganathan, G. V. (2001). “A new heuristic optimization algorithm: Harmony search.” Simulation, 76(2), 60–68.
Geem, Z. W., and Roper, W. E. (2010). “Various continuous harmony search algorithms for web-based hydrologic parameter optimisation.” Int. J. Math. Modell. Numer. Optim., 1(3), 213–226.
Gibbs, M. S., Maier, H. R., and Dandy, G. C. (2010). “Comparison of genetic algorithm parameter setting methods for chlorine injection optimization.” J. Water Resour. Plann. Manage., 136(2), 288–291.
Gill, M. A. (1978). “Flood routing by the muskingum method.” J. Hydrol. (Amsterdam), 36, 353–363.
Kim, J. H., Geem, Z. W., and Kim, E. S. (2001). “Parameter estimation of the nonlinear muskingum model using harmony search.” J. Am. Water Resour. Assoc., 37(5), 1131–1138.
Lee, K. S., and Geem, Z. W. (2005). “A new meta-heuristic algorithm for continuous engineering optimization: Harmony search theory and practice.” Comput. Methods Appl. Mech. Eng., 194(36–38), 3902–3933.
Luo, J., and Xie, J. (2010). “Parameter estimation for nonlinear muskingum model based on immune clonal selection algorithm.” J. Hydrol. Eng., 15(10), 844–851.
Mahdavi, M., Fesanghary, M., and Damangir, E. (2007). “An improved harmony search algorithm for solving optimization problems.” Appl. Math. Comput., 188(2), 1567–1579.
Mohan, S. (1997). “Parameter estimation of nonlinear muskingum models using genetic algorithm.” J. Hydraul. Eng., 123(2), 137–142.
Saka, M. P. (2007). “Optimum geometry design of geodesic domes using harmony search algorithm.” Adv. Struct. Eng., 10(6), 595–606.
Tung, Y.-K. (1985). “River flood routing by nonlinear muskingum method.” J. Hydraul. Eng., 111(12), 1447–1460.
Yoon, J., and Padmanabhan, G. (1993). “Parameter estimation of linear and nonlinear muskingum models.” J. Water Resour. Plann. Manage., 119(5), 600–610.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 16 • Issue 8 • August 2011
Pages: 684 - 688
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Mar 31, 2010
Accepted: Oct 27, 2010
Published online: Nov 30, 2010
Published in print: Aug 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.