Skip to main content
Log in

Integrated Forecasting Using the Discrete Wavelet Theory and Artificial Intelligence Techniques to Reduce the Bullwhip Effect in a Supply Chain

  • Original Article
  • Published:
Global Journal of Flexible Systems Management Aims and scope Submit manuscript

Abstract

To enhance the commercial competitive advantage of a firm in a constantly changing business environment, it is very important to enhance the supply chain performance by making it more flexible to adopt any type of changes in dynamic business environment. To improve the supply chain performance and make it more flexible it is essential to control the order amplification or bullwhip effect (BWE) through various stages of supply chain and control the inventory costs by controlling net stock amplification (NSA). These tasks should be done by using accurate demand forecasting. The current study demonstrates a forecasting methodology about nonlinear customer demand in a multilevel supply chain (SC) structure through; integrated techniques of discrete wavelet theory and artificial intelligence techniques including artificial neural networks and adaptive network-based fuzzy inference system. The effectiveness of forecasting models to deal with nonlinear data and how they improved the flexibility of SC is demonstrated by calculating BWE and NSA for real world data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Aburto, L., & Weber, R. (2007). Improved supply chain management based on hybrid demand forecasts. Applied Soft Computing, 7(1), 136–144.

    Article  Google Scholar 

  • Aggarwal, S. K., Saini, L. M., & Kumar, A. (2009). Electricity price forecasting using wavelet domain and time domain features in a regression based technique. International Journal of Recent Trends in Engineering, 2(5), 33–37.

    Google Scholar 

  • Agrawal, S., Nandan, R., & Shanker, K. (2009). Impact of information sharing and lead time on bullwhip effect and on-hand inventory. European Journal of Operational Research, 192(2), 576–593.

    Article  Google Scholar 

  • Arino, M. A. (1995). Time series forecasts via wavelets: An application to car sales in the Spanish market. Durham: Institute of Statistics and Decision Science, Duke University.

    Google Scholar 

  • Bandyopadhyay, S., & Bhattacharya, R. (2013). A generalized measure of bullwhip effect in supply chain with ARMA demand process under various replenishment policies. International Journal of Advance Manufacturing Technology, 68(5), 963–979.

    Article  Google Scholar 

  • Bashir, Z. A., & El-Hawary, M. A. (2009). Applying wavelets to short-term load forecasting using PSO-based neural networks. IEEE Transaction Power Systems, 24(1), 20–27.

    Article  Google Scholar 

  • Beale, M. H., Hagan, M. T., & Demuth, M. H. (2010). Neural network toolbox TM 7, user’s guide. Natick, MA: MathWorks Inc.

    Google Scholar 

  • Bollerslev, T., Litvinova, J., & Tauchen, G. (2006). Leverage and volatility feedback effects in high-frequency data. Journal of Financial Econometrics, 4(3), 353–384.

    Article  Google Scholar 

  • Boute, R. N., & Lambrecht, M. R. (2009). Exploring the bullwhip effect by means of spreadsheet simulation. Informs Transaction on Education, 10(2), 1–9.

    Article  Google Scholar 

  • Box, G. E. P., Jenkins, G. M., Reinsel, G. C., & Jenkins, G. (1994). Time series analysis: Forecasting and control (3rd ed.). Hoboken, New Jersey: Jhon Wiley & Sons Inc.

    Google Scholar 

  • Castellanos, F., & James, N. (2009). Average hourly wind speed forecasting with ANFIS. In 11th Americas conference on Wind Engineering. June 26–29, 2009.

  • Catalao, J. P. S. (2011). Hybrid wavelet-PSO-ANFIS approach for short-term electricity prices forecasting. IEEE Transactions on Power Systems, 26(1), 252–263.

    Article  Google Scholar 

  • Chakkrabarty, A., De, A., Gunashekharan, A., & Dubey, R. (2015). Investment horizon heterogeneity and wavelet: Overview and future research directions. Physics A: Statistical Mechanics and its Applications, 429, 45–61. doi:10.1016/j.physa.2014.10.097.

    Article  Google Scholar 

  • Chopra, S., Meindle, P., & Kalra, D. V. (2006). Supply chain management strategy, planning and operation (3rd ed.). New Delhi, India: Pearson Education.

    Google Scholar 

  • Daubechies, I. (1990). The wavelet transforms time–frequency localization and signal analysis. IEEE Transactions on Information Theory, 36(5), 961–1005.

    Article  Google Scholar 

  • Daubechies, I. (1996). Where do wavelets come from? A personal point of view. Proceedings of the IEEE, 84(4), 510–513.

    Article  Google Scholar 

  • Doganis, P., Alexandridis, A., Patrinos, P., & Sarimveis, H. (2006). Time series sales forecasting for short shelf-life food products based on artificial neural networks and evolutionary computing. Journal of Food Engineering, 75(6), 196–204.

    Article  Google Scholar 

  • Duc, T. T. H., Luong, H. T., & Kim, Y. (2008a). A measure of bullwhip effect in supply chains with a mixed autoregressive-moving average demand process. European Journal of Operational Research, 187(1), 243–256.

    Article  Google Scholar 

  • Duc, T. T. H., Luong, H. T., & Kim, Y. (2008b). A measure of bullwhip effect in supply chains with stochastic lead time. International Journal of Advance manufacturing, 38(11), 1201–1212.

    Article  Google Scholar 

  • Efendigil, T., Onut, S., & Kahraman, C. (2009). A decision support system for demand forecasting with artificial neural networks and neuro-fuzzy models: A comparative analysis. Experts system with applications, 36(3), 6697–6707.

    Article  Google Scholar 

  • Haven, E., Liu, X., & Shen, L. (2012). De-noising option prices with the wavelet method. European Journal of Operational Research, 222(1), 104–112.

    Article  Google Scholar 

  • Hwarng, H. B. (2001). Insight into neural-network forecasting of time series corresponding to ARIMA (p, q) structures. Omega, 29(5), 273–289.

    Article  Google Scholar 

  • Jaipuria, S., & Mahapatra, S. S. (2014). An improved demand forecasting method to reduce the bullwhip effect in supply chains. Expert Systems with Applications, 41(5), 2395–2408.

    Article  Google Scholar 

  • Kampouropoulos, K., Andrade, F., & Garicia, A. (2014). A combined methodology of adaptive neuro-fuzzy inference system and genetic algorithm for Short-term energy forecasting. Advances in Electrical and Computer Engineering, 14(1), 9–14. doi:10.4316/AECE.2014.01002.

    Article  Google Scholar 

  • Kisi, O. (2011). Precipitation forecasting using wavelet-genetic programming and Wavelet-neuro-fuzzy conjunction models. Water Resource Management, 25(13), 3135–3152.

    Article  Google Scholar 

  • Kumar, S. (2011). Neural networks—a classroom approach. New Delhi, India: Tata McGraw-Hill Education Private Limited.

    Google Scholar 

  • Lee, H. L., Padmanabhan, V., & Whang, S. (1997). The bullwhip effect in supply chains. Sloan Management Review Spring, 38(6), 93–102.

    Google Scholar 

  • Luong, H. T., & Phien, N. H. (2006). Measure of bullwhip effect in supply chains: The case of high order autoregressive demand process. European Journal of Operational Research, 183(1), 197–209.

    Article  Google Scholar 

  • Makridakis, S., Wheelwright, S. C., & Hyndman, R. J. (1998). Forecasting methods and applications (3rd ed.). Singapore: John Wiley & Sons Inc.

    Google Scholar 

  • Mukhopadhay, S. K. (2011). Production, planning and control (2nd ed.). New Delhi, India: Pearson education.

    Google Scholar 

  • Partal, T., & Cigizoglu, H. K. (2009). Prediction of daily precipitation using wavelet neural networks. Hydrological Sciences Journal, 54(6), 234–246.

    Article  Google Scholar 

  • Polikar, R. (1999). The story of wavelets. In N. Mastorakis (Ed.), Physics and modern topics in mechanical and electrical engineering (pp. 192–197). Wisconsin, USA: World Scientific and Engineering Society Press.

  • Sahu, M., Khatua, K. K., & Mahapatra, S. S. (2011). A neural network approach for prediction of discharge in straight compound open channel flow. Flow Measurement and Instrumentation, 22(5), 438–446.

    Article  Google Scholar 

  • Shahidehpour, M., & Khan, A. A. (2009). One day ahead wind speed forecasting using wavelets. IEEE/PES power systems conference and exposition. doi:10.1109/psce.2009.4840129.

    Google Scholar 

  • Sushil (2011). Flexibility, vitality and sustainability. Global Journal of Flexible Systems Management, 12(1&2), iii

  • Takagi, T., & Sugeno, M. (1985). Structure identification of systems and its application to modeling and control. IEEE Transactions on Systems Man and Cybernetics, 15(1), 116–132.

    Article  Google Scholar 

  • Tim, E. (1991). Discrete wavelet transforms: Theory and implementation. Stanford: Stanford University. (draft #2).

    Google Scholar 

  • Wang, W., & Ding, J. (2009). Wavelet network model and its application to the prediction of the hydrology. Nature and Science, 1(1), 67–71.

    Google Scholar 

  • Wei, S., Song, J., & Khan, N. I. (2012). Simulating and predicting river discharge time series using a wavelet-neural network hybrid modeling approach. Hydrological Process, 26(2), 281–296.

    Article  Google Scholar 

  • Wei, S., Zhang, J., & Li, Z. (1997). A supplier-selecting system using a neural network. Intelligent Processing Systems, 1, 468–471. doi:10.1109/ICIPS.1997.672825.

    Google Scholar 

  • Wong, H., Ip, W. C., Xie, Z., & Lui, L. (2003). Modeling and forecasting by wavelets, and the application to exchange rates. Journal of Applied Statistics, 30(5), 537–553.

    Article  Google Scholar 

  • Xie, Y., Petrovic, D., & Burnham, K. (2006). A heuristic procedure for the two-level control of serial supply chains under fuzzy customer demand. International Journal of Production Economics, 102(6), 37–50.

    Article  Google Scholar 

  • Yousefi, S., Weinreich, I., & Reinarz, D. (2005). Wavelet based prediction of oil prices. Chaos, Solitons & Fractals, 25(2), 265–275. doi:10.1016/j.chaos.2004.11.015.

    Article  Google Scholar 

  • Zhang, G., Patuwo, B. E., & Hu, M. Y. (1998). Forecasting with artificial neural networks: The state of art. International Journal of Forecasting, 14(1), 35–62.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lakhwinder Pal Singh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Singh, L.P., Challa, R.T. Integrated Forecasting Using the Discrete Wavelet Theory and Artificial Intelligence Techniques to Reduce the Bullwhip Effect in a Supply Chain. Glob J Flex Syst Manag 17, 157–169 (2016). https://doi.org/10.1007/s40171-015-0115-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40171-015-0115-z

Keywords

Navigation