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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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