DOI QR코드

DOI QR Code

간헐적 수요예측을 위한 이항가중 지수평활 방법

A Binomial Weighted Exponential Smoothing for Intermittent Demand Forecasting

  • 하정훈 (홍익대학교 정보컴퓨터공학부 산업공학전공)
  • Ha, Chunghun (School of Information & Computer Engineering, Hongik University)
  • 투고 : 2017.11.30
  • 심사 : 2018.02.15
  • 발행 : 2018.03.31

초록

Intermittent demand is a demand with a pattern in which zero demands occur frequently and non-zero demands occur sporadically. This type of demand mainly appears in spare parts with very low demand. Croston's method, which is an initiative intermittent demand forecasting method, estimates the average demand by separately estimating the size of non-zero demands and the interval between non-zero demands. Such smoothing type of forecasting methods can be suitable for mid-term or long-term demand forecasting because those provides the same demand forecasts during the forecasting horizon. However, the smoothing type of forecasting methods aims at short-term forecasting, so the estimated average forecast is a factor to decrease accuracy. In this paper, we propose a forecasting method to improve short-term accuracy by improving Croston's method for intermittent demand forecasting. The proposed forecasting method estimates both the non-zero demand size and the zero demands' interval separately, as in Croston's method, but the forecast at a future period adjusted by binomial weight according to occurrence probability. This serves to improve the accuracy of short-term forecasts. In this paper, we first prove the unbiasedness of the proposed method as an important attribute in forecasting. The performance of the proposed method is compared with those of five existing forecasting methods via eight evaluation criteria. The simulation results show that the proposed forecasting method is superior to other methods in terms of all evaluation criteria in short-term forecasting regardless of average size and dispersion parameter of demands. However, the larger the average demand size and dispersion are, that is, the closer to continuous demand, the less the performance gap with other forecasting methods.

키워드

참고문헌

  1. Altay, N., Rudisill, F., and Litteral, L.A., Adapting Wright's modification of Holt's method to forecasting intermittent demand, International Journal of Production Economics, 2008, Vol. 111, No. 2, pp. 389-408. https://doi.org/10.1016/j.ijpe.2007.01.009
  2. Baek, J.-K. and Han, J.-H., Forecasting of Heat Demand in Winter Using Linear Regresson Models for Korea District Heating Corporation, Journal of the Korea Academia-Industrial Cooperation Society 2011, Vol. 12, No. 3, pp. 1488-1494. https://doi.org/10.5762/KAIS.2011.12.3.1488
  3. Bao, Y., Wang, W., and Zhang, J., Forecasting intermittent demand by SVMs regression, in : Systems, Man and Cybernetics, 2004 IEEE International Conference, 2004, pp. 461-466.
  4. Carmo, J.L. and Rodrigues, A.J., Adaptive forecasting of irregular demand processes, Engineering Applications of Artificial Intelligence, 2004, Vol. 17, No. 2, pp. 137-143. https://doi.org/10.1016/j.engappai.2004.01.001
  5. Croston, J.D., Forecasting and stock control for intermittent demands, Journal of the Operational Research Society, 1972, Vol. 23, No. 3, pp. 289-303. https://doi.org/10.1057/jors.1972.50
  6. Gutierrez, R.S., Solis, A.O., and Mukhopadhyay, S., Lumpy demand forecasting using neural networks, International Journal of Production Economics, 2008, Vol. 111, No. 2, pp. 409-420. https://doi.org/10.1016/j.ijpe.2007.01.007
  7. Hua, Z. and Zhang, B., A hybrid support vector machines and logistic regression approach for forecasting intermittent demand of spare parts, Applied Mathematics and Computation, 2006, Vol. 181, No. 2, pp. 1035-1048. https://doi.org/10.1016/j.amc.2006.01.064
  8. Hyndman, R.J. and Koehler, A.B., Another look at measures of forecast accuracy, International Journal of Forecasting, 2006, Vol. 22, No. 4, pp. 679-688. https://doi.org/10.1016/j.ijforecast.2006.03.001
  9. Kourentzes, N., On intermittent demand model optimisation and selection, International Journal of Production Economics, 2014, Vol. 156, pp. 180-190. https://doi.org/10.1016/j.ijpe.2014.06.007
  10. Lawless, J.F., Negative binomial and mixed Poisson regression, The Canadian Journal of Statistics, 1987, Vol. 15, No. 3, pp. 209-225. https://doi.org/10.2307/3314912
  11. Lee, S. and Ha, C., Long-Term Demand Forecasting Using Agent-Based Model Application on Automotive Spare Parts, Journal of Society of Korea Industrial and Systems Engineering, 2015, Vol. 38, No. 1, pp. 110- 117. https://doi.org/10.11627/jkise.2014.38.1.110
  12. Leven, E. and Segerstedt, A., Inventory control with a modified Croston procedure and Erlang distribution, International Journal of Production Economics, 2004, Vol. 90, No. 3, pp. 361-367. https://doi.org/10.1016/S0925-5273(03)00053-7
  13. Prestwich, S.D., Tarim, S.A., Rossi, R., and Hnich, B., Forecasting intermittent demand by hyperbolic-exponential smoothing, International Journal of Forecasting, 2014, Vol. 30, No. 4, pp. 928-933. https://doi.org/10.1016/j.ijforecast.2014.01.006
  14. Snyder, R.D., Ord, J.K., and Beaumont, A., Forecasting the intermittent demand for slow-moving inventories : A modelling approach, International Journal of Forecasting, 2012, Vol. 28, No. 2, pp. 485-496. https://doi.org/10.1016/j.ijforecast.2011.03.009
  15. Syntetos, A.A. and Boylan, J.E., On the bias of intermittent demand estimates, International Journal of Production Economics, 2001, Vol. 71, No. 1-3, pp. 457-466. https://doi.org/10.1016/S0925-5273(00)00143-2
  16. Syntetos, A.A., Babai, Z., Boylan, J.E., Kolassa, S., and Nikolopoulos, K., Supply chain forecasting : Theory, practice, their gap and the future, European Journal of Operational Research, 2016, Vol. 252, No. 1, pp. 1-26. https://doi.org/10.1016/j.ejor.2015.11.010
  17. Syntetos, A.A., Forecasting of intermittent demand, Brunel University, 2001.
  18. Teunter, R.H. and Sani, B., On the bias of Croston's forecasting method, European Journal of Operational Research, 2009, Vol. 194, No. 1, pp. 177-183. https://doi.org/10.1016/j.ejor.2007.12.001
  19. Teunter, R.H., Syntetos, A.A. and Babai, M.Z., Intermittent demand: Linking forecasting to inventory obsolescence, European Journal of Operational Research, 2011, Vol. 214, No. 3, pp. 606-615. https://doi.org/10.1016/j.ejor.2011.05.018
  20. Wallstrom, P. and Segerstedt, A., Evaluation of forecasting error measurements and techniques for intermittent demand, International Journal of Production Economics, 2010, Vol. 128, No. 2, pp. 625-636. https://doi.org/10.1016/j.ijpe.2010.07.013