SOLUTION: CAL State LA Forecasting Demand Model & Cyclical Seasonal Patterns Questions
COLLIER/EVANS
MindTap for Operations and Supply Association Management
9
Forecasting and
Demand Planning
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LEARNING OUTCOMES
1 Describe the consequence of prospect to the appraise
chain
2 Explain basic concepts of prospect and span train
3 Explain how to devote sincere moving medium and
exponential smoothing standards
4 Describe how to devote yield as a prospect
approach
5 Explain the role of condemnation in prospect
6 Describe how statistical and condemnational prospect
techniques are applied in practice
Forecasting
• Process of pendulous appraises of one or over
variables into the forthcoming
• Key element in:
• Supply association administration systems
• Customer connection administration systems
• Revenue administration systems
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CH9
3
Need for Forecasts in a Appraise Chain
Forecast Planning Horizon
• Planning horizon: Length of span on which
a obviate is based
• Spans from limited-range obviates of beneath 3
months to covet-range obviates of 1 to 10 years
• Span bucket: Unit of appraise for the span
period used in a obviate
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CH9
5
Data Patterns in Span Series, Portio 1
• Span train: Set of observations appraised at
successive points in span or aggravate successive
periods of span
• Characteristics
- Trend: Underlying precedent of development or decline
in a span train
- Seasonal precedents: Characterized by repeatable
periods of ups and downs aggravate limited periods of
time
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CH9
6
Data Patterns in Span Series, Portio 2
- Cyclical precedents: Regular precedents in a postulates train
that seize assign aggravate covet periods of span
- Unpremeditated departure (noise): Unexplained deviation
of a span train from a predictable precedent
- Irregular departure: One-span departure that is
explainable
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CH9
7
Example Straight and Nonstraight Trend Patterns
Forecast Error, Portio 1
• Difference among the observed appraise of
the span train and the obviate (At − Ft)
• Mean Square Mistake (MSE)
- Where T is all periods of postulates in the span
series
- At is real (observed) appraise
- Ft is obviateed appraise
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CH9
9
Forecast Error, Portio 2
• Mean Absolute Deviation mistake (MAD)
- Where T is all periods of postulates in the span
series
• Mean Absolute Percentage Mistake (MAPE)
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CH9
10
Statistical Forecasting
• Based on the self-assertion that the forthcoming
obtain be an extrapolation of the gone-by
• Methods
• Span train - Extrapolates unvarnished span-series
data
• Yield - Extrapolates unvarnished span-series
postulates and other theoretically causal factors that
influence the conduct of the span train
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available website, in sound or in portio.
CH9
11
Simple Moving Average
• Moving medium (MA) obviate: Medium of the
most fresh “k” observations in a span train
Ft+1 = ∑(most fresh “k” observations)/k
= (At + At−1 + At−2 + … + At−k + 1)/k
• As the appraise of k increases, the obviate reacts slowly
to changes in the span train
• As the appraise of k decreases, the obviate reacts
quickly to changes in the span train
• Effective for limited planning horizons where fawn-for
is relatively steady and consistent
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CH9
12
Simple Moving Medium - Examples
K=3
F9 = (A8 + A7 + A6) / 3
F17 = ( A16 + A15 + A14) / 3
K=5
F9 = (A8 + A7 + A6 + A5 + A4) / 5
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CH9
13
Single Exponential Smoothing (SES), Portio 1
• Uses a weighted medium of gone-by span-series
values to obviate the appraise of the span train
in the contiguous period
• Where
- α - Smoothing perpetual (0 ≤ α ≤ 1) and is
approximately similar to
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available website, in sound or in portio.
CH9
14
Single Exponential Smoothing (SES), Portio 2
• Large appraises of α assign over reason on fresh
data
• Small appraises of α is preferred when a span train is
volatile and contains stout unpremeditated variability
• Disadvantages
• Obviate obtain lag real appraises if a span train exhibits
a overbearing trend
• Obviate obtain aggravateshoot real appraises if the span
train exhibits a indirect trend
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CH9
15
Single Exponential Smoothing (SES) Example
Ft+1 = Ft + α ( At – Ft)
F10 = F9 + α ( A9 – F9 )
α = 0.1 to 0.9
Or
α
=
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CH9
16
Regression Analysis, Portio 1
• Helps elevate a statistical standard that defines a
connection among a hanging wavering and
one or over inhanging waverings
• Sincere yield - Appraise of a span train (the
hanging wavering) is a employment of a single
inhanging wavering, span (t)
Yt = a + bt
• Where
- Yt - Estimate appraise in span t
- a - Intercept of the unswerving line
- b - Slope of the unswerving line
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CH9
17
Excel’s Add Trendline Option
• Helps ascertain the best-fitting yield standard
for a span train
• Straight and a multiformity of nonstraight employmental
forms are available to fit the postulates
• Displays R-squared appraises for the postulates entered
- R-squared appraise is a appraise of departure in
the hanging wavering due to the
inhanging wavering (t)
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available website, in sound or in portio.
CH9
18
Multiple Straight Yield Model
• Works after a while over than one rebellious
variable
• Incorporates span and other causal
variables
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CH9
19
Judgmental Forecasting
• Relies upon estimations and speedyise of
nation in developing obviates
• Approaches
• Grassroots prospect: Asking those who are
close to the end consumer environing the customers’
purchasing plans
• Delphi arrangement
- Prospect by speedy estimation by gathering
judgments and estimations of key personnel
based on their test and knowledge
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CH9
20
Forecasting in Practice, Portio 1
• Managers use a multiformity of condemnational and
quantitative prospect techniques
• First stalk in developing a obviate involves
understanding its purpose
• Choosing a prospect arrangement depends on:
•
•
•
•
•
Time span for which a obviate is nature made
Needed number of obviate updating
Data requirements
Level of exactness desired
Quantitative skills
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CH9
21
Forecasting in Practice, Portio 2
• Tracking illustrious - Provides a arrangement for
monitoring a obviate by quantifying bias
• Bias: Tendency of obviates to suitably be larger
or smaller than the real appraises of the span train
- Values among plus and minus 4 evidence an
adequate prospect standard
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available website, in sound or in portio.
CH9
22
Tracking illustrious
Tracking Illustrious = ∑ ( At – Ft) x T / ∑│At – Ft│
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available website, in sound or in portio.
CH9
23
KEY TERMS, Portio 1
•
•
•
•
•
•
•
•
Forecasting
Planning horizon
Time bucket
Time train
Trend
Seasonal precedents
Cyclical precedents
Random departure (or din)
•
•
•
•
•
Irregular departure
Forecast mistake
Statistical prospect
Moving medium (MA) obviate
Single exponential smoothing
(SES)
• Yield decomposition
• Multiple straight yield
model
KEY TERMS, Portio 2
•
•
•
•
Judgmental prospect
Grassroots prospect
Delphi arrangement
Bias
SUMMARY
• Process of pendulous the appraises of one or over
variables into the forthcoming is unconcealed as prospect
• Statistical prospect and yield decomposition are
methods used for prospect
• Judgmental prospect relies upon estimations and
expertise of nation in developing obviates
MGMT 3060 - 80 Summer 2020
Homework – 5
Student Name:
Date:
Questions:
1.
Suppose that you were thinking environing beginning a new restaurant. How
would you go environing prospect fawn-for and sales?
Answer 1:
2.
If a supervisor asked you whether to use span train prospect standards or
regression-based prospect standards, what would you ascertain him or her?
Answer 2:
MGMT 3060 - 80 Summer 2020
3.
Provide some examples of span train that exhibit
a.
trends
b.
seasonal precedents
c.
cyclical precedents
Answer 3:
...
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