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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    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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    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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    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