In: Statistics and Probability
The following data represented labor requirements for year 2018, for a large Printing operation in Kingston. As part of the management team, it is your responsibility as HR Manager, to put systems in place to meet labor demand for 2019. Use the following forecasting techniques to estimate the requirements for 2019.
Period |
Jan |
Feb |
Mar |
Apr |
May |
Jun |
Jul |
Aug |
Sep |
Oct |
Nov |
Dec |
Labor |
25 |
40 |
26 |
27 |
32 |
48 |
33 |
37 |
37 |
50 |
45 |
41 |
Required:
a) Using a 2-month simple moving average, smooth out your projections for 2012. (Note: No values are expected for the first two months)
b) Using the exponential smoothing model is given by: Ft+1 = (1 – a) Ft + a At calculate the exponentially smoothed values for each month, assuming that the demand for January has not changed. Smoothing coefficient (uncertainty): a = 0.15, for all calculations.
(a) 2-month simple moving average: | ||
Labor (2018) | Labor Forecast (2019) | |
Jan | 25 | |
Feb | 40 | |
Mar | 26 | 32.5 |
Apr | 27 | 33 |
May | 32 | 26.5 |
Jun | 48 | 29.5 |
Jul | 33 | 40 |
Aug | 37 | 40.5 |
Sep | 37 | 35 |
Oct | 50 | 37 |
Nov | 45 | 43.5 |
Dec | 41 | 47.5 |
To illustrate, forecast for March = (25 + 40)/2 = 32.5, similarly for others
(b) Exponential smoothing (α = 0.15): | ||
Labor (2018) | Labor Forecast (2019) [F(t + 1) = (1 - α) F(t) + α A(t)] | |
Jan | 25 | 25 |
Feb | 40 | 25 |
Mar | 26 | 27.25 |
Apr | 27 | 27.06 |
May | 32 | 27.05 |
Jun | 48 | 27.80 |
Jul | 33 | 30.83 |
Aug | 37 | 31.15 |
Sep | 37 | 32.03 |
Oct | 50 | 32.77 |
Nov | 45 | 35.36 |
Dec | 41 | 36.80 |
To illustrate, forecast for March = (1 - 0.15) * 25 + 0.15 * 40 = 27.25, similarly for others
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