MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
The number of heart surgeries performed at Heartville General Hospital has increased steadily over the past several years. The hospital's administration is seeking the best method to forecast the demand for such surgeries in year 6. The data for the past five years are shown below.
Year
|
1
|
2
|
3
|
4
|
5
|
Demand
|
42
|
46
|
51
|
55
|
60
|
The hospital's administration is considering the following forecasting methods. Begin error measurement in year 3, so all methods are compared for the same years.
i.
|
Exponential smoothing, with
α
= 0.6. Let the initial forecast for year 1 be
42,
the same as the actual demand. |
ii.
|
Exponential smoothing, with
α
= 0.9. Let the initial forecast for year 1 be
42,
the same as the actual demand. |
iii.
|
Trend projection with regression.
|
iv.
|
Two-year moving average.
|
v.
|
Two-year weighted moving average, using weights 0.6 and 0.4, with the more recent data given more weight.
|
Part 2
If
MAD
is the performance criterion chosen by the administration, which forecasting method should it choose?
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Exponential smoothing with alpha equals 0.6Exponential smoothing with α=0.6
Exponential smoothing with alpha equals 0.9Exponential smoothing with α=0.9
Trend projection with regressionTrend projection with regression
Two dash year moving averageTwo-year moving average
Two dash year weighted moving average
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