Forecasting 1 Lecture-revision
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Transcript of Forecasting 1 Lecture-revision
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8/11/2019 Forecasting 1 Lecture-revision
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FOREC STING
Forecasting is the art and science ofpredicting future events
I know no way of judging the future but
by the past.
Patrick Henry I see that you willget an A this semester.
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Why Forecast?
Lead times require that decisions bemade in advance of uncertain events.
Forecasts of product demand,materials, labor, financing are animportant inputs to scheduling,acquiring resources, and determiningresource requirements (reduceuncertainty)
Makeproduction planningeasier
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Elements of a Good Forecast
Timely
AccurateReliable
Written
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CLASSIFICATION OF FORECASTINGPROBLEMS
According to Time Horizons
According to Forecast Method Used
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Time Horizons
Short Term (up to 3 months)
Purchase orders
Scheduling workforce levels
Production levels
Job assignments
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Medium Term (3 months to 2-3years)
Production planning
Sales planning
Budgeting
Purchasing
Distribution
Time Horizons
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Long Term (2-3 years or more)
New products
Capital expenditures
Facility location/expansion
Capacity planning
Strategic planning
Time Horizons
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Forecast Method Used
Qualitative Forecast Subjective in nature
Executive opinion:
panel consensus (a group of managers,staffs and experts make forecast based onconsensus among them under the riskofdominance)
consumer market survey (marketingdepartment sends surveyor to collectinformation from consumer)
delphimethod
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Delphi Method
l. Choose the experts to participate representing a varietyof knowledgeable people in different areas
2. Through a questionnaire (or E-mail), obtain forecasts(and any premises or qualifications for the forecasts)
from all participants3. Summarize the results and redistribute them to the
participants along with appropriate new questions
4. Summarize again, refining forecasts and conditions,
and again develop new questions5. Repeat Step 4 as necessary and distribute the final
results to all participants
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Principles of Forecasting
Forecasts are almost always wrong.
Every forecast should include an
estimate of the forecast error. Actual errors are almost always
bigger than estimated errors.
The greater the degree ofaggregation, the more accurate theforecast.
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Combining methods may improveaccuracy.
Long-term forecasts are usually lessaccurate than short-term forecasts.
Psychological biases impair forecasts.
Principles of Forecasting
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Forecasting Steps
Step 1 Determine purpose of forecast
Step 2 Establish a time horizon
Step 3 Select a forecasting techniqueStep 4 Gather and analyze data
Step 5 Prepare the forecast
Step 6 Measure forecast error
Step 7 Forecast verification
The forecast
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Important Factors for selecting forecastingmethods
Time Horizons
Forecasting Objective by considering
accuracy and costs Products life cycle
Demand patterns
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Time(a) Trend
Time(d) Trend with seasonal pattern
Time(c) Seasonal pattern
Time(b) Cycle
Demand
Demand
Demand
Demand
Randommovement
Demand Patterns
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Cost if in-accuracy of forecast versus costof making forecast
Accuracy of forecasting
high low
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Accuracy of forecast
Accuracy of forecast is determined by thevalue of forecast error
Forecast error = DtFt et where
Dt= data at period t and Ft= forecast atperiod t
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PeriodData
Dt
Forecast
FtDtFt DtFt (DtFt)
2t
tt
D
FD
1 146 142 4 4 16 2,7%
2 150 148 2 2 4 1,3%
3 144 149 5 5 25 3,5%
4 147 148 1 1 1 0.7%5 152 149 3 3 9 2,0%
6 153 153 0 0 0 0,0%
7 142 150 8 8 64 5,6%
8 139 146 7 7 49 5,0%
9 147 141 6 6 36 4,1%
10 152 144 8 8 64 5,3%
Total 2 44 268 30,2%Note: DtFtet n = Number of data
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a. Mean Square Error (MSE)
MSE=
n
t
n
et
1
2
= 268/10 = 26,8
b. Mean Absolute Percentage Error (MAPE)
MAPE =
n
t tD
tF
tD
n1
100 = 2,3010100
% =
3,02
c. Mean Absolute Deviation (MAD)
MAD=n
n
t
et
1= 44 /10 = 4,4
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a. Bias of Forecasting Error (BFE)
BFE=n
n
t
et
1= 2/10 = 0,2
e. The Running Sum of Forecast Erro
(RSFE)
RSFE =
n
t
F tDt
1)( atau
=
n
t
et
1= 2
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Time series Methods
Simple AverageSimple Average: Forecasting Method by averaging all
the past data
SA = Dt+ Dt-1+ Dt-2+
. + Dt- (N1)N
Where :Dt : The present data
Dt-1 : The previous data (one period ahead)Dt-(N-1): The oldest dataN : number of data /total period
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ExampleThe present demand (Dt) = 150 Bakpias
The demand 1 period ahead (Dt-1) = 100 Bakpias
The demand 2 periods ahead (Dt-2) = 130 Bakpias
The demand 3 periods ahead (Dt-3) = 110 Bakpias
The demand 4 periods ahead (Dt-4) = 170 BakpiasThe demand 5 periods ahead (Dt-5) = 180 Bakpias
SA = 150 + 100 + 130 + 110 + 170 + 180 = 140 Bakpias
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Simple Moving Average
Moving average is a sequence of average value derived from
the sequential data (demand) by removing the first data andadding the next data Averaging is made based on the period of moving
We use a moving average when demand has no discernabletrend or seasonality.
In this case, Systematic component of demand = level
Example : With moving average of 5 (MA = 5),the average of five
data from five periods becomes the forecast of thesixth period of the data selected
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Moving average forecast with MA = 5
MonthDemand (ton)
(Dt)
Forecast
(Ft)
Jan 107,6Feb 185,9
Mar 196,6
Apr 216,6
May 233,4
Jun 229,7 188,02Jul 234,8 212,44
Agt 202,9
Note :
188,02 = 107,6 + 185,9 + 196,6 + 216,6 + 233,4
5
212,44 = 185,9 + 196,6 + 216,6 + 233,4 + 229,7
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Moving average forecast with MA = 6
Month
Demand
(ton)
(Dt)
Forecast
(Ft)
Jan 107,6
Feb 185,9
Mar 196,6
Apr 216,6
May 233,4
Jun 229,7Jul 234,8 193,27
Agt 202,9 214,47
Note :
193,27 = 107,6+ 185,9+ 196,6+ 216,6+ 233,4 + 229,7
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214,47 = 185,9 + 196,6 + 216,6 + 233,4 + 229,7 +234,8
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