Simulation of the mean zero-up-crossing wave period using artificial neural networks trained with a simulated annealing algorithm

The aim of this work was to develop a predictive model to forecast the mean zero-up-crossing wave periods (Tz) for 3-hourly sea states at a location in the Pacific using artificial neural networks (ANNs). Seven multilayer ANNs were trained with a simulated annealing algorithm. The output of each trained ANN was used to estimate each of the seven parameters of a new distribution called the hepta-parameter spline proposed for the conditional distribution of Tz, given some mean zero-up-crossing wave periods and significant wave heights. After estimating the parameters of the distribution, the model was used to simulate and predict future values of Tz. Forecasting a sea state and developing the joint distribution of sea state characteristics with the help of the simulated characteristics are also discussed in this article.

[1]  Simon Haykin,et al.  Neural Networks: A Comprehensive Foundation , 1998 .

[2]  M. C. Deo,et al.  Neural networks for wave forecasting , 2001 .

[3]  André Marchaud Sur les champs de demi-droites et les équations différentielles du premier ordre , 1934 .

[4]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[5]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[6]  L. Berkovitz,et al.  A Variational Approach to Differential Games , 1960 .

[7]  Nicolas Vieille,et al.  Quitting Games , 2001, Math. Oper. Res..

[8]  Sverre Haver,et al.  ON THE JOINT DISTRIBUTION OF HEIGHTS AND PERIODS OF SEA WAVES , 1987 .

[9]  Stephane Moins Implementation of a Simulated Annealing algorithm for Matlab , 2002 .

[10]  Abhijit Nagchaudhuri Integration Of State Of The Art Simulation Software Tools For Guidance And Control Of An Under Actuated Surface Autonomous Vessel , 2004 .

[11]  L. S. Pontryagin,et al.  Mathematical Theory of Optimal Processes , 1962 .

[12]  Rufus Isaacs,et al.  Differential Games , 1965 .

[13]  Peter Salamon,et al.  Facts, Conjectures, and Improvements for Simulated Annealing , 1987 .

[14]  J. D. Agrawal,et al.  On-line wave prediction , 2002 .

[15]  Stanislaw Raczynski Some remarks on nonconvex optimal control , 1986 .

[16]  Thomas Herbert Naylor Computer Simulation Techniques , 1966 .

[17]  Daniele Bertin,et al.  Dynamic Positioning of a “Single-Thruster” Vessel by Feedback Linearization , 2000 .

[18]  Alistair I. Mees,et al.  Convergence of an annealing algorithm , 1986, Math. Program..

[19]  E B Lee,et al.  Foundations of optimal control theory , 1967 .

[20]  Stanislaw Raczynski Differential inclusions in system simulation , 1996 .