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Operations and Supply Chain Management The Core

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84 OPERATIONS AND SUPPLY CHAIN MANAGEMENT

15. Historical demand for a product is

DEMAND

January

February

March

April

May

June

12

11

15

12

16

15

a. Using a weighted moving average with weights of 0.60, 0.30, and 0.10, find

the July forecast.

b. Using a simple three-month moving average, find the July forecast.

c. Using single exponential smoothing with α = 0.2 and a June forecast = 13,

find the July forecast. Make whatever assumptions you wish.

d. Using simple linear regression analysis, calculate the regression equation for

the preceding demand data.

e. Using the regression equation in part (d), calculate the forecast for July.

16. The tracking signals computed using past demand history for three different

products are as follows. Each product used the same forecasting technique.

1

2

3

4

5

6

7

8

9

10

TS 1 TS 2 TS 3

−2.70

−2.32

−1.70

−1.10

−0.87

−0.05

0.10

0.40

1.50

2.20

1.54

−0.64

2.05

2.58

−0.95

−1.23

0.75

−1.59

0.47

2.74

0.10

0.43

1.08

1.74

1.94

2.24

2.96

3.02

3.54

3.75

Discuss the tracking signals for each and what the implications are.

17. Here are the actual tabulated demands for an item for a nine-month period

(January through September). Your supervisor wants to test two forecasting

methods to see which method was better over this period.

MONTH ACTUAL MONTH ACTUAL

January

February

March

April

110

130

150

170

May 160

June

July

August

September

180

140

130

140

a. Forecast April through September using a three-month moving average.

b. Use simple exponential smoothing with an alpha of 0.3 to estimate April

through September, using the average of January through March as the initial

forecast for April.

c. Use MAD to decide which method produced the better forecast over the

six-month period.

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