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Lecture operations management chapter 3: forecasting

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Describe at least three qualitative forecasting techniques and the advantages and disadvantages of each 4.. Describe averaging techniques, trend and seasonal techniques, and regression

Trang 2

You should be able to:

1 List the elements of a good forecast

2 Outline the steps in the forecasting process

3 Describe at least three qualitative forecasting techniques

and the advantages and disadvantages of each

4 Compare and contrast qualitative and quantitative

approaches to forecasting

5 Describe averaging techniques, trend and seasonal

techniques, and regression analysis, and solve typical

problems

6 Explain three measures of forecast accuracy

7 Compare two ways of evaluating and controlling forecasts

8 Assess the major factors and trade-offs to consider when

choosing a forecasting technique

Trang 3

Forecast – a statement about the future

value of a variable of interest

 We make forecasts about such things as

weather, demand, and resource availability

 Forecasts are an important element in making

informed decisions

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∑ − ×

=

100 Actual

Forecast Actual

t t

n

= Actual t Forecast t

MAD

t t

1

Forecast

Actual MSE

= ∑

n

MAD weights all errors evenly

MSE weights errors according

to their squared values

MAPE weights errors according to relative error

Trang 5

Forecasts that project patterns identified in

recent time-series observations

observations taken at regular time intervals

can be estimated from past values of the

time-series

Trang 6

These Techniques work best when a series

tends to vary about an average

 Averaging techniques smooth variations in the

data

 They can handle step changes or gradual

changes in the level of a series

 Techniques

1 Moving average

2 Weighted moving average

3 Exponential smoothing

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Technique that averages a number of the

most recent actual values in generating a

forecast

average moving

in the periods

of Number

1 period

in value Actual

average moving

period MA

period for time

Forecast

where

MA

1

1

=

=

=

=

=

=

= −

n

t A

n

t F

n

A F

t n t

n

i

i t n

t

Trang 8

The most recent values in a time series are

given more weight in computing a forecast

The choice of weights, w, is somewhat arbitrary

and involves some trial and error

etc , 1 period

for value actual

the ,

period for

value actual

the

etc.

, 1 period

for weight ,

period for

weight

where

) (

) (

) (

1 1

1 1

=

=

=

=

+ + +

=

t A

t A

t w

t w

A w

A w

A w

F

t t

t t

n t n t t

t t

t t

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A weighted averaging method that is based

on the previous forecast plus a percentage of

the forecast error

period previous

the from sales

or demand Actual

constant Smoothing

=

period previous

for the Forecast

period for

Forecast

where

) (

1 1

1 1

1

=

=

=

− +

=

t

t t

t t

t t

A

F

t F

F A

F F

α

α

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A simple data plot can reveal the existence

and nature of a trend

where

F t = Forecast for period t

a = Value of F t at t = 0

b = Slope of the line

t = Specified number of time periods from t = 0

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Slope and intercept can be estimated from

historical data

b = nty −∑ty

nt2 −( ) ∑t 2

a = ∑ybt

where

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The trend adjusted forecast consists of two

components

 Smoothed error

 Trend factor

TAFt +1 = S t + T t

where

S t = Previous forecast plus smoothed error

T t = Current trend estimate

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Alpha and beta are smoothing constants

ability to respond to changes in trend

Trang 14

Regression - a technique for fitting a line to

a set of data points

 Simple linear regression - the simplest form of

regression that involves a linear relationship

between two variables

 The object of simple linear regression is to obtain

an equation of a straight line that minimizes the sum of squared vertical deviations from the line

(i.e., the least squares criterion)

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organizations will be to take advantage of future

opportunities and reduce potential risks

 A worthwhile strategy is to work to improve short-term

forecasts

 Accurate up-to-date information can have a significant

effect on forecast accuracy:

 Reduce the time horizon forecasts have to cover

 Sharing forecasts or demand data through the

supply chain can improve forecast quality

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