Browse > Article
http://dx.doi.org/10.12989/gae.2015.9.6.709

Optimal design of homogeneous earth dams by particle swarm optimization incorporating support vector machine approach  

Mirzaei, Zeinab (Department of Water Resources Engineering, University of Birjand)
Akbarpour, Abolfazl (Department of Civil Engineering, University of Birjand)
Khatibinia, Mohsen (Department of Civil Engineering, University of Birjand)
Siuki, Abbas Khashei (Department of Water Resources Engineering, University of Birjand)
Publication Information
Geomechanics and Engineering / v.9, no.6, 2015 , pp. 709-727 More about this Journal
Abstract
The main aim of this study is to introduce optimal design of homogeneous earth dams with oblique and horizontal drains based on particle swarm optimization (PSO) incorporating weighted least squares support vector machine (WLS-SVM). To achieve this purpose, the upstream and downstream slopes of earth dam, the length of oblique and horizontal drains and angle among the drains are considered as the design variables in the optimization problem of homogeneous earth dams. Furthermore, the seepage through dam body and the weight of dam as objective functions are minimized in the optimization process simultaneously. In the optimization procedure, the stability coefficient of the upstream and downstream slopes and the seepage through dam body as the hydraulic responses of homogeneous earth dam are required. Hence, the hydraulic responses are predicted using WLS-SVM approach. The optimal results of illustrative examples demonstrate the efficiency and computational advantages of PSO with WLS-SVM in the optimal design of homogeneous earth dams with drains.
Keywords
homogeneous earth dams; oblique and horizontal drains; particle swarm optimization; weighted least squares support vector machine;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Abdul Hussain, I.A., Kashyap, D. and Hari Prasad, K.S. (2007), "Seepage modelling assisted optimal design of a homogeneous earth dam: Procedure evolution", J. Irrig. Drain. Eng., 133(2), 116-130.   DOI
2 Chahar, B.R. (2004), "Determination of length of a horizontal drain in homogeneous earth dams", J. Irrig. Drain. Eng., 130(6), 530-536.   DOI
3 Coello, C.A. (2002), "Theoretical and numerical constraint-handling techniques used with evaluation algorithms: a survey of the state of art", Comput. Method. Appl. Meh. Eng., 191(11), 1245-1287.   DOI
4 Geo-Slope (1998), Seep/W for finite element seepage analysis.User's guide; Calgary, AB, Canada.
5 Gharehbaghi, S. and Khatibinia, M. (2015), "Optimal seismic design of reinforced concrete structures under time history earthquake loads using an intelligent hybrid algorithm", Earthq. Eng. Eng. Vibrat., 14(1), 97-109.   DOI
6 Kennedy, J., Eberhart, R.C. and Shi, Y. (2001), Swarm Intelligence, Morgan Kaufman Publishers, San Francisco, CA, USA.
7 Khatibinia, M. and Khosravi, Sh. (2014), "A hybrid approach based on an improved gravitational search algorithm and orthogonal crossover for optimal shape design of concrete gravity dams", Appl. Soft. Comput., 16, 223-233.   DOI
8 Khatibinia, M. and Naseralavi, S.S. (2014), "Truss optimization on shape and sizing with frequency constraints based on orthogonal multi-gravitational search algorithm", J. Sound. Vib., 333(24), 6349-6369.   DOI
9 Khatibinia, M., Fadaee, M.J., Salajegheh, J. and Salajegheh, E. (2013a), "Seismic reliability assessment of RC structures including soil-structure interaction using wavelet weighted least squares support vector machine", Reliab. Eng. Syst. Safe., 110, 22-33.   DOI
10 Khatibinia, M., Salajegheh, E., Salajegheh, J. and Fadaee, M.J. (2013b), "Reliability-based design optimization of RC structures including soil-structure interaction using a discrete gravitational search algorithm and a proposed metamodel", Eng. Optimiz., 45(10), 1147-1165.   DOI
11 Khatibinia, M., Gharehbagh, S. and Moustafa, A. (2015), "Seismic reliability-based design optimization of reinforced concrete structures including soil-structure interaction effects", In Book: Earthquake Engineering-From Engineering Seismology to Optimal Seismic Design of Engineering Structures, InTech, (Editor: Abbas Moustafa), pp. 267-304.
12 Quan, T., Liu, X. and Liu, Q. (2010), "Weighted least squares support vector machine local region method for nonlinear time series prediction", Appl. Soft. Comput., 10(2), 562-566.   DOI
13 Mahani, A.S., Shojaee, S., Salajegheh, E. and Khatibinia, M. (2015), "Hybridizing two-stage meta-heuristic optimization model with weighted least squares support vector machine for optimal shape of double-arch dams", Appl. Soft. Comput., 27, 205-218.   DOI
14 Mckay, M.D., Beckman, R.J. and Conover, W.K. (1979), "A comparison of three methods for selecting values on input variables in the analysis of output from a computer code", Technometrics, 21(2), 239-245.
15 Mohammadi, M., Barani, G.A. and Qaderi, K. (2013), "Using simulated annealing (SA), evolutionary algorithm to determine optimal dimensions of clay core in earth dams", Int. J. Adv. Biological. Biomedical. Res., 1(4), 382-397.
16 Rajeev, S. and Krishnamoorthy, C.S. (1992), "Discrete optimization of structures using genetic algorithms", J. Struct. Eng. ASCE, 118(5), 1233-1250.   DOI
17 Ranjan, G. and Rao, A.S. (2000), Basic and Applied Soil Mechanics, New Age International Publishers P Ltd., New Delhi, India.
18 Rao, S.S. (1996), Engineering Optimization: Theory and Practice, New Age International Publishers P Ltd., New Delhi, India.
19 Roshani, E. and Farsadizadeh, D. (2012), "Optimization of clay core dimensions in earth fill dams using particle swarm algorithm", J. Civil. Eng. Urban., 2(5), 176-181.
20 Salajegheh, E., Gholizadeh, S. and Khatibinia, M. (2008), "Optimal design of structures for earthquake loads by a hybrid RBF-BPSO method", Earthq. Eng. Eng. Vibrat., 7(1), 14-24.
21 Shi, Y. Liu, H., Gao, L. and Zhang, G. (2011), "Cellular particle swarm optimization", Inform. Sci., 181(20), 4460-4493.   DOI
22 Salajegheh, E., Salajegheh, J., Seyedpoor, S.M. and Khatibinia, M. (2009), "Optimal design of geometrically nonlinear space trusses using adaptive neuro-fuzzy inference system", Sci. Iran., 16(5), 403-414.
23 Seyedpoor, S.M., Salajegheh, J. and Salajegheh, E. (2012), "Shape optimal design of materially nonlinear arch dams including dam-water-foundation rock interaction using an improved PSO algorithm", Optimiz. Eng., 13(1), 79-100.   DOI
24 Shi, Y. and Eberhart, R. (1998), "A modified particle swarm optimizer", Proceedings of IEEE International Cconference on Eevolutionary Ccomputation, Anchorage, AK, USA, May.
25 Suykens, J.A., Brabanter, J.D., Lukas, L. and Vandewalle, J. (2002), "Weighted least squares support vector machines: robustness and sparse approximation", Neurocomputing, 48(1-4), 85-105.   DOI
26 United States Bureau of Reclamation (USBR) (2003), Design of Small Dams, Oxford & IBH, New Delhi, India.
27 US Army Corps of Engineers (2003), Engineering and Design: Slope Stability, Engineering Manual EM 1110-2-1901, Vicksburg, MS, USA.
28 Xu, Y.Q., Unami, K. and Kawachi, T. (2003), "Optimal hydraulic design of earth dam cross section using saturated-unsaturated seepage flow model", Adv. Water. Resour., 26(1), 1-7.   DOI
29 Yazdani, H., Hatami, K. and Khosrani, E. (2013), "Ant colony optimization method for design of piled-raft foundations", D.F.I. J., 7(2), 17-27.