Forecasting of Sporadic Demand Patterns with Seasonality and Trend Components: An Empirical Comparison between Holt-Winters and (S)ARIMA Methods

Items with irregular and sporadic demand profiles are frequently tackled by companies, given the necessity of proposing wider and wider mix, along with characteristics of specific market fields (i.e., when spare parts are manufactured and sold). Furthermore, a new company entering into the market is featured by irregular customers' orders. Hence, consistent efforts are spent with the aim of correctly forecasting and managing irregular and sporadic products demand. In this paper, the problem of correctly forecasting customers' orders is analyzed by empirically comparing existing forecasting techniques. The case of items with irregular demand profiles, coupled with seasonality and trend components, is investigated. Specifically, forecasting methods (i.e., Holt-Winters approach and (S)ARIMA) available for items with seasonality and trend components are empirically analyzed and tested in the case of data coming from the industrial field and characterized by intermittence. Hence, in the conclusions section, well-performing approaches are addressed.

[1]  Aris A. Syntetos,et al.  Reply to Kostenko and Hyndman , 2006, J. Oper. Res. Soc..

[2]  Robert Pavur,et al.  A comparison of the accuracy of the Box-Jenkins method with that of automated forecasting methods , 1987 .

[3]  A. Zhigljavsky,et al.  Forecasting European industrial production with singular spectrum analysis , 2009 .

[4]  Mauro Gamberi,et al.  Managing Lumpy Demand for Aircraft Spare Parts , 2005 .

[5]  J. Boylan,et al.  The accuracy of intermittent demand estimates , 2005 .

[6]  A. Vijaya Rao,et al.  A Comment on: Forecasting and Stock Control for Intermittent Demands , 1973 .

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

[8]  Peter R. Winters,et al.  Forecasting Sales by Exponentially Weighted Moving Averages , 1960 .

[9]  J. D. Croston Forecasting and Stock Control for Intermittent Demands , 1972 .

[10]  E. Ziegel Forecasting and Time Series: An Applied Approach , 2000 .

[11]  T. Willemain,et al.  Forecasting intermittent demand in manufacturing: a comparative evaluation of Croston's method , 1994 .

[12]  Jeffrey Jarrett Business Forecasting Methods , 1987 .

[13]  T. Willemain,et al.  A new approach to forecasting intermittent demand for service parts inventories , 2004 .

[14]  Spyros Makridakis,et al.  Accuracy measures: theoretical and practical concerns☆ , 1993 .

[15]  H. Akaike A new look at the statistical model identification , 1974 .

[16]  Aris A. Syntetos,et al.  On the categorization of demand patterns , 2005, J. Oper. Res. Soc..

[17]  J. E. Boylan,et al.  Forecasting intermittent demand: A comparative evaluation of croston's method. Comment , 1996 .

[18]  Rob J. Hyndman,et al.  A note on the categorization of demand patterns , 2006, J. Oper. Res. Soc..

[19]  J. Boylan,et al.  Forecasting for Items with Intermittent Demand , 1996 .

[20]  J. Boylan,et al.  On the bias of intermittent demand estimates , 2001 .

[21]  Anders Segerstedt,et al.  Inventory control with a modified Croston procedure and Erlang distribution , 2004 .

[22]  Anders Segerstedt Forecasting slow-moving items and ordinary items : a modification of Croston’s idea , 2003 .

[23]  Aris A. Syntetos A Note on Managing Lumpy Demand for Aircraft Spare Parts , 2007 .

[24]  Leo W. G. Strijbosch,et al.  A combined forecast—inventory control procedure for spare parts , 2000, J. Oper. Res. Soc..

[25]  Rob J Hyndman,et al.  Stochastic models underlying Croston's method for intermittent demand forecasting , 2005 .

[26]  Chunhang Chen,et al.  Robustness properties of some forecasting methods for seasonal time series: A Monte Carlo study☆ , 1997 .

[27]  Jeffrey E. Jarrett,et al.  Improving forecasting for telemarketing centers by ARIMA modeling with intervention , 1998 .

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

[29]  A. Solis,et al.  Lumpy demand forecasting using neural networks , 2001, PICMET '01. Portland International Conference on Management of Engineering and Technology. Proceedings Vol.1: Book of Summaries (IEEE Cat. No.01CH37199).

[30]  C. Granger,et al.  Experience with Forecasting Univariate Time Series and the Combination of Forecasts , 1974 .

[31]  C. Holt Author's retrospective on ‘Forecasting seasonals and trends by exponentially weighted moving averages’ , 2004 .

[32]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[33]  Brian G. Kingsman,et al.  Selecting the best periodic inventory control and demand forecasting methods for low demand items , 1997 .