forecasting

Approaches to Forecasting : A Tutorial

Double Exponential Smoothing

 

What Is Double Exponential Smoothing?

Time Series with Trend: Double Exponential Smoothing

 

What Is Double Exponential Smoothing?

…like regular exponential smoothing, except includes a component to pick up trends.

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Time Series with Trend: Double Exponential Smoothing

Formula 

  • Ft            =          Unadjusted forecast (before trend)
  • Tt            =          Estimated trend
  • AFt          =          Trend-adjusted forecast                                                                                                                               

Ft            =          a* At-1           +  (1- a*   (Ft-1 + Tt-1)

Tt            =          b* (At-1-Ft-1)  +  (1- b*   Tt-1

AFt          =          Ft   +   Tt

 

To start, we assume no trend and set our “initial” forecast to Period 1 demand.

 

… We then calculate our forecast for Period 2.

 

… But Period 2 demand turns out to be 20.

What is the trend estimate for Period 3?

 

By Period 4, the model is starting to pick up on the trend …

 

…And after a few periods the model “locks on” to the correct trend value.

(Of course, this example is simplified to make the numbers clearer.)

 

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