A hybrid SARIMA and support vector machines in forecasting the production values of the machinery industry in Taiwan

Abstract This paper proposes a hybrid methodology that exploits the unique strength of the seasonal autoregressive integrated moving average (SARIMA) model and the support vector machines (SVM) model in forecasting seasonal time series. The seasonal time series data of Taiwan’s machinery industry production values were used to examine the forecasting accuracy of the proposed hybrid model. The forecasting performance was compared among three models, i.e., the hybrid model, SARIMA models and the SVM models, respectively. Among these methods, the normalized mean square error (NMSE) and the mean absolute percentage error (MAPE) of the hybrid model were the lowest. The hybrid model was also able to forecast certain significant turning points of the test time series.

[1]  Guoqiang Peter Zhang,et al.  Time series forecasting using a hybrid ARIMA and neural network model , 2003, Neurocomputing.

[2]  Kalyanmoy Deb,et al.  Real-coded Genetic Algorithms with Simulated Binary Crossover: Studies on Multimodal and Multiobjective Problems , 1995, Complex Syst..

[3]  D. J. Reid Combining Three Estimates of Gross Domestic Product , 1968 .

[4]  J. Navarro-Esbrí,et al.  Time series analysis and forecasting techniques for municipal solid waste management , 2002 .

[5]  J. M. Bates,et al.  The Combination of Forecasts , 1969 .

[6]  George E. P. Box,et al.  Time Series Analysis: Forecasting and Control , 1977 .

[7]  D. Bertrand,et al.  Feature selection by a genetic algorithm. Application to seed discrimination by artificial vision , 1998 .

[8]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[9]  Kalyanmoy Deb,et al.  A combined genetic adaptive search (GeneAS) for engineering design , 1996 .

[10]  Krzysztof J. Cios,et al.  Time series forecasting by combining RBF networks, certainty factors, and the Box-Jenkins model , 1996, Neurocomputing.

[11]  Rob Law,et al.  Modeling and forecasting tourism demand for arrivals with stochastic nonstationary seasonality and intervention. , 2002 .

[12]  S. Sathiya Keerthi,et al.  Evaluation of simple performance measures for tuning SVM hyperparameters , 2003, Neurocomputing.

[13]  Wu Meng,et al.  Application of Support Vector Machines in Financial Time Series Forecasting , 2007 .

[14]  Spyros Makridakis,et al.  Why combining works , 1989 .

[15]  Kalyanmoy Deb,et al.  Simulated Binary Crossover for Continuous Search Space , 1995, Complex Syst..

[16]  Bernhard Schölkopf,et al.  Learning with kernels , 2001 .

[17]  Jen-Hung Huang,et al.  Earthquake devastation and recovery in tourism: the Taiwan case , 2002 .

[18]  Alexander J. Smola,et al.  Support Vector Method for Function Approximation, Regression Estimation and Signal Processing , 1996, NIPS.

[19]  Jens Ove Riis,et al.  A hybrid econometric—neural network modeling approach for sales forecasting , 1996 .

[20]  R. Cumby,et al.  Testing for market timing ability: A framework for forecast evaluation , 1987 .

[21]  R. H. Edmundson,et al.  The accuracy of combining judgemental and statistical forecasts , 1986 .

[22]  Fang-Mei Tseng,et al.  Combining neural network model with seasonal time series ARIMA model , 2002 .

[23]  Vladimir N. Vapnik,et al.  The Nature of Statistical Learning Theory , 2000, Statistics for Engineering and Information Science.

[24]  F. Tay,et al.  Application of support vector machines in financial time series forecasting , 2001 .

[25]  David Horn,et al.  Combined Neural Networks for Time Series Analysis , 1993, NIPS.

[26]  Alexander J. Smola,et al.  Learning with kernels , 1998 .

[27]  R. Clemen Combining forecasts: A review and annotated bibliography , 1989 .

[28]  M. Hashem Pesaran,et al.  A Simple Nonparametric Test of Predictive Performance , 1992 .

[29]  Ping-Feng Pai,et al.  Using support vector machines to forecast the production values of the machinery industry in Taiwan , 2005 .

[30]  R. L. Winkler,et al.  Averages of Forecasts: Some Empirical Results , 1983 .

[31]  W. N. Venables,et al.  Statistical forecasting of soil dryness index in the southwest of Western Australia , 2003 .

[32]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1971 .