Adaptive Exponential Smoothing

Adaptive Exponential Smoothing is similar to basic exponential smoothing where the latest base demand value is weighted with a smoothing constant. In adaptive exponential smoothing, the smoothing constant is calculated every time a new forecast is made.

dmp_Adaptive Exponential Smoothing

The smoothing constant is recalculated using this equation:

dmp_Adaptive Exponential Smoothing_2

In order to control and follow up forecast precision, two types of measurements are used, Mean Absolute Deviation (MAD) and Mean Error (Forecast error, AVER). These measure the deviation between forecast and actual demand. You can calculate the Mean Error and MAD in three ways:

Method 1: Exponential Smoothing

Method 2: Mean F/C deviation

dmp_Adaptive Exponential Smoothing_4

Method 3: Mean Demand deviation

dmp_Adaptive Exponential Smoothing_5
Factor Description
dmp_Adaptive Exponential Smoothing_table1 Mean absolute deviation for period (i)
α Smoothing constant for exponential smoothing in period (i)

dmp_Adaptive Exponential Smoothing_table2

The absolute amount of a difference (without minus sign)

dmp_Adaptive Exponential Smoothing_table3

Base demand during period (i)

dmp_Adaptive Exponential Smoothing_table4

Base forecast for period (i)

dmp_Adaptive Exponential Smoothing_table5

Average demand for (n) periods
i Period number
n Number of periods included in calculating the mean
Note: Alpha is adaptive and calculated automatically from the deviation (CDev).