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Question:Harlen Industries has a simple forecasting model: Take the actual demand for the same month last year and divide that by the number of fractional weeks in that month. This gives the average weekly demand for that month. This weekly average is used as the weekly forecast for the same month this year. This technique was used to forecast eight weeks for this year, which are shown below along with the actual demand that occurred. The following eight weeks show the forecast (based on last year) and the demand that actually.

Week

Forecast demand

Actual demand

1

140

137

2

140

133

3

140

150

4

140

160

5

140

180

6

150

170

7

150

185

8

150

205

a. Compute the MAD of forecast errors.

b.Using the RSFE, compute the tracking signal.

c.Based on your answers to parts (a) and (b), comment on Harlen’s method of forecasting.

Short Answer

Expert verified

Forecasting is the method of creating predictions supported by past and present data. Later these may be compared against what happens.

Step by step solution

01

(a) MAD of forecast errors

The mean absolute deviation is defined as the average distance between each data point and therefore the mean. It gives us a plan for the variability in an exceeding data set. Mean’ refers to the average of the observations and deviation implies departure or variation from a present standard.

The MAD calculation of forecast errors is done in the (8) column of the table as shown below:

For month 8, the MADis 23.75

02

(b)Tracking signal (RSFE )

A tracking signal could be a measurement that indicates whether the forecast average is keeping pace with any genuine upward or downward changes in demand. When a forecast is consistently low or high, it's noted as a biased forecast.

A tracking signal (TS) can be calculated using the arithmetic sum of forecast deviations divided by the mean absolute deviation. The calculation of the tracking signal is done in the (9) column of the table as shown below:

TS = RSFE/MAD

TS = -3/3.00 = -1.00

Where,

RSFE = the running sum of forecast errors, considering the nature of the error. (For example, negative errors cancel positive errors and vice versa)

MAD = the average of all the forecast errors.

The table is shown below:

The tracking signal for month 8 is 7.16

03

(c)Comment on Harlen’s method of forecasting

Based on parts (a) and (b) the tracking signal is too large, So Harlen’s method of forecasting should be considered poor. It is not effectively dealing with an apparent upward trend in demand.

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Most popular questions from this chapter

: Actual demand for a product for the past three months was:

Three months ago

400 units

Two months ago

350 units

Last month

325 units

  1. Using a simple three-month moving average, make a forecast for this month.
  2. If 300 units were demanded this month, what would your forecast be for next month?
  3. Using simple exponential smoothing, what would your forecast be for this month if the exponentially smoothed forecast for three months ago was 450 units and the smoothing constant was 0.20?

After graduation, you decide to go into a partnership in an office supply store that has existed for some years. Walking through the store and stockrooms, you find a great discrepancy in service levels. Some spaces and bins for items are empty; others have supplies that are covered with dust and have been there a long time. You decide to take on the project of establishing consistent levels of inventory to meet customer demands. Most of your supplies are purchased from just a few distributors that call on your store once every two weeks. You choose, as your first item for study, computer printer paper. You examine the sales records and purchase orders and find that demand for the past 12 months was 5,000boxes. Using your calculator you sample some days’ demands and estimate that the standard deviation of daily demand is 10 boxes. You also search out these figures:

Cost per box of paper: $11.

Desired service probability: 98 percent.

The store is open every day.

Salesperson visits every two weeks.

Delivery time following visit is three days.

Using your procedure, how many boxes of paper would be ordered if, on the day the salesperson calls, 60 boxes are on hand?

The accompanying figure shows a production network model with the parts and processing sequences. State clearly in the figure (1) where you would place inventory, (2) where you would perform inspection, and (3) where you would emphasize high-quality output.

A manufacturing facility has five jobs to be scheduled for production. The following table gives the processing times plus the necessary wait times and other necessary delays for each of the jobs. Assume that today is April 3, that the facility will work every day between now and the due dates, and the jobs are due on the dates shown:

Job

Days of

Actual Processing

Time Required

Days of

Necessary Delay

Time

Total Time

Required

Date Job

Due

1

2

3

4

5

2

5

9

7

4

12

8

15

9

22

14

13

24

16

26

April 30

April 21

April 28

April 29

April 27

Determine two schedules, stating the order in which the jobs are to be done. Use the critical ratio priority rule for one. You may use any other rule for the second schedule as long as you state what it is.

The following table shows predicted product demand using your particular forecasting method along with the actual demand that occurred:

Forecast

Actual

1500

1550

1400

1500

1700

1600

1750

1650

1800

1700

a. Compute the tracking signal using the mean absolute deviation and running sum of forecast errors.

b. Discuss whether your forecasting method is giving good predictions.

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