IMP 1 Om Forecasting
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Transcript of IMP 1 Om Forecasting
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FORECASTING METHODS
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FORECASTING APPLICATIONS
Marketing.. Demand Forecasting, Marketshare, Trend in prices
Operations.. Material requirements, Material
and Labour costs, Idle time, Inventory,
Defective parts
Finance.. Cash flows, Expenses, Revenues,
Costs
Personnel.. Labour Turnover, Absenteeism..
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DEMAND MANAGEMENT
Coordinate and Control all the sources ofDemand to
- Use Production system efficiently- Delivery on Time
Types of Demand- Dependent Demand : part of a
product
- Independent Demand : eitherinfluence
Demand or respond to
Demand
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Demand Management
A
B(4) C(2)
D(2) E(1) D(3) F(2)
Independent Demand
Dependent Demand
Independent demand is uncertain. Dependent demand is certain.
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PATTERNS OF DEMAND
Average Demand - steady requirement
TREND - LONG-RUN GENERAL MOVEMENTS INCREASINGOR DECREASING
SEASONAL - RECURRENT AND PERIODIC EVERY 12
MONTHS, EVERY HOUR CYCLICAL - CAUSED BY ECONOMIC EXPANSIONS AND
CONTRACTIONS, TECHNOLOGICAL, DEMOGRAPHICAL,
ETC. VERY HARD TO FORECAST
RANDOM - NO DISCERNIBLE PATTERN
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Forecasting methods
Qualitative.. Where no data available, useful for new
products Time series.. Based on past data, use of computers for faster
processing
Causal.. Based on factors influencing demand e.g.
Advertisement, quality, competition, economic factors, Govt
policies..
Simulation.. Computer based, Interactive, Iterative..
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Forecasting...Qualitative Methods
Grass Roots - Talk to Sales Force, Talk to
CustomersMarket Research - Surveys of Customers,
Experimental Test Markets
Panel Consensus - Bring in ExpertsExecutive Judgment - Surveys or Formal Input from
Executives
Historical Analogy - For New Products/ Technology,
Find a Similar ProductDelphi Method - Formal, Sequential Method of
Polling and Pooling Expert Opinions
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Forecasting methods... Timeseries analysis
Simple Moving average : Neither growing nor declining,
w/o seasonal characteristics, e.g.items in inventory
Weighted Moving Average : More weightage to recent past..
.5/.3/.2, sales in a dept stores
Simple exponential smoothing :Accurate, easily
understandable, less computation, retail/wholesaletrade,services
Regression Analysis:useful for long-term forecasting offamily of products, past and future fall in a straight line
Trend Analysis
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Which Method to Choose ?
Pick a model based on:
1. Time horizon to forecast
2. Data availability
3. Accuracy required
4. Size of forecasting budget
5. Availability of qualified personnel
ASSUMPTION: THE PAST WILL REPEAT AND WE HAVEACCURATELY MODELED IT!
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In-Class Exercise
Week Demand
1 820
2 7753 680
4 655
5 620
6 600
7 575
Develop 3-week and
5-week moving
average forecasts fordemand.
Assume you only have
3 weeks and 5 weeksof actual demand data
for the respective
forecasts
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19
In-Class Exercise (Solution)
Week Demand 3-Week 5-Week
1 820
2 7753 680
4 655 758.33
5 620 703.33
6 600 651.67 710.00
7 575 625.00 666.00
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20
Weighted Moving Average
F=wA+wA+wA+...+t 1t-1 2t-2 3t-3 nt
w =1i
i=1
n
Determine the 3-period
weighted moving average
forecast for period 4.
Weights:
t-1 .5
t-2 .3
t-3 .2
Week Demand
1 650
2 678
3 7204
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21
Solution
Week Demand Forecast
1 650
2 6783 720
4 693.4
F=.5(720)+.3(678).(4
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22
In-Class Exercise
Determine the 3-period
weighted moving average
forecast for period 5.
Weights:
t-1 .7
t-2 .2t-3 .1
Week Demand1 820
2 775
3 680
4 655
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Solution
Week Demand Forecast
1 820
2 775
3 680
4 655
5 672
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25
Exponential Smoothing Example
W e e k D e m a n d
1 8 2 0
2 7 7 5
3 6 8 0
4 6 5 5
5 7 5 0
6 8 0 2
7 7 9 8
8 6 8 9
9 7 7 5
1 0
Determine
exponential
smoothing forecasts
for periods 2-10using =.10 and
=.60.
Let F1=A1
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Week Demand 0.1 0.6
1 820 820.00 820.002 775 820.00 820.00
3 680 815.50 820.00
4 655 801.95 817.30
5 750 787.26 808.09
6 802 783.53 795.59
7 798 785.38 788.35
8 689 786.64 786.579 775 776.88 786.61
10 776.69 780.77
26The McGraw-Hill Companies, Inc., 1998Irwin/McGraw-Hill
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35
Simple Linear Regression Model
b is similar to the slope. However, since it iscalculated with the variability of the data in
mind, its formulation is not as straight-
forward as our usual notion of slope
Yt = a + bx
0 1 2 3 4 5 x (weeks)
Y
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36
Calculating a and b
a=y-bx
b=xy-n(y)(x)
x -n(x2 2
)
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Regression Equation Example
Week Sales
1 150
2 1573 162
4 166
5 177
Develop a regression equation to predict sales
based on these five points.
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Week Week*Week Sales Week*Sales
1 1 150 150
2 4 157 314
3 9 162 486
4 16 166 664
5 25 177 8853 55 162.4 2499
Average Sum Average Sum
b= xy-n(y)(x)x-n(x
=2499-5(162.4)(3) =
a=y-bx=162.4-(6.3)(3)=
2 2
) ()55596310.
143.538
The McGraw-Hill Companies, Inc., 1998Irwin/McGraw-Hill
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y = 143.5 + 6.3t
135
140
145
150155
160
165
170175
180
1 2 3 4 5
Period
S
ales
Sales
Forecast
39The McGraw Hill Companies Inc 1998I i /M G Hill