Question

In: Statistics and Probability

The following data represented labor requirements for year 2018, for a large Printing operation in Kingston....

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.

Solutions

Expert Solution

(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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