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    Planning and Forecasting(Part B)

    Eng. Ahmed Bakhsh

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    What is Forecasting?

    Process of predicting a

    future event

    Underlying basis of

    all business decisions

    Production

    Inventory Personnel

    Facilities

    Sales willbe $200

    Million!

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    Short-range forecastUp to 1 year; usually less than 3 months

    Job scheduling, worker assignments

    Medium-range forecast3 months to 3 years

    Sales & production planning, budgeting

    Long-range forecast3+ years

    New product planning, facility location

    Types of Forecasts by Time

    Horizon

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    Types of Forecasts

    Economic forecastsAddress business cycle, e.g., inflation rate,

    money supply etc.

    Technological forecastsPredict rate of technological progress

    Predict acceptance of new product

    Demand forecastsPredict sales ofexistingproduct

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    Planning and Forecasting

    To predict/approximate what a certain future event or condition will be.

    One can forecast:

    Production levels

    Technological developments

    Needed manpower

    Governmental regulations

    Needed Funds

    Training needs

    Resource needs

    Sale levels. The most critical information to forecast.

    Forecasting

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    Seven Steps in Forecasting Determine the use of the forecast

    Select the items to be forecasted

    Determine the time horizon of the forecast Select the forecasting model(s)

    Gather the data

    Make the forecast Validate and implement results

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    Planning and Forecasting Forecasting

    Two types of information to forecast:

    Qualitative Information

    Quantitative Information

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    Planning and Forecasting Forecasting

    Qualitative Forecasting

    Used when:

    Past data cannot be used reliably to predict the future.Technological trendsRegulations

    When no past data is available, usually becausethe situation is very new.Entry into new marketsDevelopment of new products

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    Planning and Forecasting Forecasting

    Jury of executive opinionDelphi Method

    Sales Force CompositeConsumer Market Survey (Users Expectations)

    Methods

    Qualitative Forecasting

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    Involves small group of high-level managers

    Group estimates demand by working together

    Combines managerial experience with statisticalmodels

    Relatively quick

    Group-thinkdisadvantage

    1995 Corel Corp.

    Jury of Executive Opinion

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    Delphi Method

    Iterative group

    process

    3 types of people

    Decision makers

    Staff

    Respondents

    Reduces group-think

    RespondentsRespondents

    (Sales will be 45,

    50, 55)

    StaffStaff(What willsales be?

    survey)

    Decision MakersDecision Makers

    (Sales?)

    (Sales will be 50!)

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    Sales Force Composite Each salesperson projects

    his or her sales

    Combined at district &national levels

    Sales reps know

    customers wants

    Tends to be overly

    optimistic

    SalesSales

    1995 Corel Corp.

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    Consumer Market Survey Ask customers

    about purchasing

    plans

    What consumers

    say, and what they

    actually do are often

    different

    Sometimes difficult

    to answer

    How many hours willyou use the Internet

    next week?

    How many hours willyou use the Internet

    next week?

    1995 Corel

    Corp.

    F i

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    Planning and Forecasting Forecasting

    Quantitative Information

    Used when data is tangible, can be used reliably topredict the future, and there is sufficient historicaldata upon which to base forecasts.

    SalesProfitsProduction levels

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    Quantitative Forecasting Methods

    Quantitative

    Forecasting

    Linear

    Regression

    Associative

    Models

    ExponentialSmoothing

    MovingAverage

    Time Series

    Models

    TrendProjection

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    Set of evenly spaced numerical data Obtained by observing response variable at regular time

    periods

    Forecast based only on past values Assumes that factors influencing past and present will

    continue influence in future

    Example

    Year: 1998 1999 2000 2001 2002

    Sales: 78.7 63.5 89.7 93.2 92.1

    What is a Time Series?

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    TrendTrend

    SeasonalSeasonal

    CyclicalCyclical

    RandomRandom

    Time Series Components

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    Regular pattern of up & down fluctuations

    Due to weather, customs etc.

    Occurs within 1 year

    Mo.,Qtr.

    Respons

    e

    Summer

    1984-1994 T/Maker Co.

    Seasonal Component

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    Common Seasonal PatternsPeriod ofPattern

    SeasonLength

    Number ofSeasons in

    Pattern

    Week Day 7

    Month Week 4 4

    Month Day 28 31

    Year Quarter 4

    Year Month 12

    Year Week 52

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    Repeating up & down movements

    Due to interactions of factors influencing

    economy

    Usually 2-10 years duration

    Mo., Qtr., Yr.Mo., Qtr., Yr.

    ResponseResponse

    Cycle

    Cyclical Component

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    Erratic, unsystematic, residual fluctuations

    Due to random variation or unforeseen events

    Union strike

    Tornado

    Short duration &

    nonrepeating

    1984-1994 T/Maker Co.

    Random Component

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    Product Demand Charted over 4Years with Trend and Seasonality

    Year1

    Year2

    Year3

    Year4

    Seasonal peaks Trend component

    Actualdemandline

    Average

    demandover fouryears

    Demandf o

    rproduc

    tor

    service

    Randomvariation

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    Naive Approach Assumes demand in next

    period is the same as

    demand in most recentperiod

    e.g., If May sales were 48,

    then June sales will be 48

    Sometimes cost effective &efficient

    1995 Corel Corp.

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    Moving Average

    Simple Moving Average Method

    Weighted Moving Average Method

    Pl i d F ti Forecasting

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    Planning and Forecasting Forecasting

    Methods

    Quantitative Forecasting

    1. Simple Moving Average:

    =+ =

    n

    t tn AnF11

    1

    Assumptions

    Time series has a level and a random component onl

    No TrendNo seasonal or cyclical variations

    n=current value n+1 = forecast value for nextA=actual value

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    Youre manager of a museum store that sells

    historical replicas. You want to forecast sales

    (000) for2003 using a 3-period moving

    average.1998 4

    1999 6

    2000 5

    2001 32002 7

    1995 Corel Corp.

    Moving Average Example

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    Moving Average Solution

    Time

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    Moving Average Solution

    Time

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    Moving Average Solution

    Time

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    95 96 97 98 99 00Year

    Sales

    2

    4

    6

    8 Actual

    Forecast

    Moving Average Graph

    Planning and Forecasting Forecasting

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    Planning and Forecasting Forecasting

    Methods

    Quantitative Forecasting

    2. Weighted Moving Average:

    n=current value n+1 = forecast value for next

    A=actual value w=weight value

    ==+ ==n

    t t

    n

    t ttn wwhereAwF 111 1

    Assumptions

    Used when trend is presentOlder data usually less importantWeights based on intuitionOften lay between 0 & 1, & sum to 1.0

    Planning and Forecasting Forecasting

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    Planning and Forecasting Forecasting

    Methods

    Quantitative Forecasting

    2. Weighted Moving Average:

    ==+ ==n

    t t

    n

    t ttnwwhereAwF

    1111

    Example

    Period Actual Value

    1999 25002000 1500

    2001 1000

    2002 500

    Weights are (0.1, 0.2, 0.3, 0.4)

    respectively.

    Find Sales for the year 2003?

    Planning and Forecasting Forecasting

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    Planning and Forecasting Forecasting

    Methods

    Quantitative Forecasting

    2. Weighted Moving Average:

    ==+ ==n

    t t

    n

    t ttnwwhereAwF

    1111

    Solution

    Period Actual Value Weight

    1999 2500 0.12000 1500 0.2

    2001 1000 0.3

    2002 500 0.4

    F(2003) = 0.1*2500

    + 0.2*1500+ 0.3*1000+ 0.4*500

    F(2003)= 1050

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    Increasing n makes forecast less

    sensitive to changes

    Do not forecast trend well

    Require much historical data

    All data (in the simple moving

    average technique) are weighted

    equally and data which are too old to

    be included are weighted by zero

    Disadvantages of

    Moving Average Methods

    Planning and Forecasting Forecasting

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    Fn+1 = Forecast value

    An = Actual value

    = Smoothing constant

    (Use for computing forecast)

    )(1 nnnn FAFF +=+

    nn FA )1( +=

    Planning and Forecasting

    Methods

    Quantitative Forecasting

    3. Exponential Smoothing Equations:

    Forecasting

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    During the past 8 quarters, the Port of Baltimore has unloaded large quantities

    of grain. ( = .10). The first quarter forecast was 175..

    Quarter Actual

    1 180

    2 168

    3 1594 175

    5 190

    6 205

    7 180

    8 182

    9 ?

    Exponential Smoothing Example

    Find theforecast forthe 9th quarter.

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    Fn+1 =

    Fn + 0.1(

    An -

    Fn)QuarterQuarterActualActualForecast, FN+1

    ( == .10.10))

    11 180 175.00 (Given)22 168168

    33 159159

    44 175175

    55 190190

    66 205205

    175.00 +175.00 +

    Exponential Smoothing Solution

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    QuarterQuarterActuaActualForecast, FN+1

    ( == .10.10))

    11 180180 175.00 (Given)175.00 (Given)

    22 168168 175.00 +175.00 + .10.10((

    33 159159

    44 175175

    55 190190

    66 205205

    Exponential Smoothing SolutionFn+1

    = Fn

    + 0.1(An

    - Fn)

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    QuarterQuarterActualActualForecast,Forecast, FFN+1N+1

    (( == .10.10))

    11 180180 175.00 (Given)175.00 (Given)

    22 168168 175.00 +175.00 + .10.10(180(180 --

    33 159159

    44 175175

    55 190190

    66 205205

    Exponential Smoothing Solution

    Fn+1

    = Fn

    + 0.1(An

    - Fn)

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    QuarterQuarterActualActualForecast, FN+1

    ( == .10.10))

    11 180180 175.00 (Given)175.00 (Given)

    22 168168 175.00 +175.00 + .10.10(180(180 - 175.00- 175.00))

    33 159159

    44 175175

    55 190190

    66 205205

    Exponential Smoothing SolutionFn+1

    = Fn

    + 0.1(An

    - Fn)

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    QuarterQuarter ActualActualForecast,Forecast, FFN+1N+1

    (( == .10.10))

    11 180180 175.00 (Given)175.00 (Given)

    22 168168 175.00 +175.00 + .10.10(180(180 - 175.00- 175.00)) = 175.50= 175.50

    33 159159

    44 175175

    55 190190

    66 205205

    Exponential Smoothing SolutionFn+1

    = Fn

    + 0.1(An

    - Fn)

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    Fn+1

    = Fn

    + 0.1(An

    -

    Fn)QuarterQuarterActualActual

    Forecast, FN+1(== .10.10))

    1 180 175.00 (Given)

    22 168168 175.00 + .10(180 - 175.00) = 175.50175.00 + .10(180 - 175.00) = 175.50

    33 159159 175.50175.50 ++ .10.10(168 -(168 - 175.50175.50)) = 174.75= 174.75

    44 175175

    55 190190

    66 205205

    Exponential Smoothing Solution

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    Fn+1

    = Fn

    + 0.1(An

    -

    Fn)

    QuarterActualForecast, FN+1

    (= .10)

    1995 180 175.00 (Given)

    1996 168 175.00 + .10(180 - 175.00) = 175.50

    1997 159 175.50 + .10(168 - 175.50) = 174.75

    1998 175

    1999 190

    2000 205

    174.75+.10(159 - 174.75)= 173.18

    Exponential Smoothing Solution

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    Fn+1

    = Fn

    + 0.1(An

    -

    Fn)

    QuarterActualForecast, F

    N+1

    (= .10)

    1 180 175.00 (Given)

    2 168 175.00 + .10(180 - 175.00) = 175.50

    3 159 175.50 + .10(168 - 175.50) = 174.75

    4 175 174.75 + .10(159 - 174.75) = 173.18

    5 190 173.18 +.10(175 - 173.18) = 173.36

    6 205

    Exponential Smoothing Solution

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    Fn+1 =

    Fn + 0.1(

    An -

    Fn)

    QuarterActualForecast, FN+1

    (= .10)

    1 180 175.00 (Given)2 168 175.00 + .10(180 - 175.00) = 175.50

    3 159 175.50 + .10(168 - 175.50) = 174.75

    4 175 174.75 + .10(159 - 174.75) = 173.18

    5 190 173.18 + .10(175 - 173.18) = 173.36

    6 205 173.36+ .10(190- 173.36) = 175.02

    Exponential Smoothing Solution

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    Fn+1 =

    Fn + 0.1(

    An -

    Fn)

    TimeActualForecast, FN+1

    (= .10)

    4 175 174.75 + .10(159 - 174.75) = 173.185 190 173.18 + .10(175 - 173.18) = 173.36

    6 205 173.36 + .10(190 - 173.36) = 175.02

    Exponential Smoothing Solution

    7 180

    8

    175.02 +.10(205- 175.02) = 178.02

    9

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    Fn+1 =

    Fn + 0.1(

    An -

    Fn)

    TimeActualForecast, FN+1

    (= .10)

    4 175 174.75 + .10(159 - 174.75) =173.185 190 173.18 + .10(175 - 173.18) =173.366 205 173.36 + .10(190 - 173.36) =175.02

    Exponential Smoothing Solution

    7 180

    8

    175.02 + .10(205 - 175.02) =

    178.02

    9 178.22 +.10(182-178.22) = 178.58

    182

    178.02 + .10(180 -178.02) = 178.22?

    Impact of

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    Impact of

    0

    5 0

    1 0 0

    1 5 0

    2 0 0

    2 5 0

    1 2 3 4 5 6 7 8 9

    Q u a r

    ActualTonage

    ActualForecast (0 .1)

    Forecast (0 .5

    Planning and Forecasting Forecasting

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    g g

    Methods

    Quantitative Forecasting

    3. Exponential Smoothing

    Same data assumptions as Moving Average

    It overcomes disadvantages of Moving Average.

    Forecast for current period is found as theforecast for the last period plus a proportion ofthe error made in the last forecast.

    Planning and Forecasting Forecasting

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    g g

    Methods

    Quantitative Forecasting

    3. Exponential Smoothing

    No waiting period before reliable forecasts canbe calculated.

    It is only required to retain three figures for

    any forecast: the past forecast for currentperiod, the current actual, and the smoothingconstant.

    The value of can be made to change oradapt to changed circumstances, such as forexample to make the series more sensitive torapidly changing data

    Advantages: