OM Week-Forecasting 2

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    Operations ManagementWeek-5

    Forecasting Collaborative Planning, Forecasting and Replenishment (CPRF) Demand Patterns and Forecasting Techniques

    Design of Forecasting Systems

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    Forecasting What is it all about ?

    Process of developing the most probable view of whatfuture demand will be, given a set of assumptions about :

    Technology

    Competitors

    Pricing

    Marketing

    Expenditures

    Sales efforts

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    Elements of a Good Forecast

    Timely

    AccurateReliable

    Written

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    Types of Forecasts

    Qualitative Methods

    Judgmental- uses subjective inputs

    Quantitative Methods

    Time series- uses historical data assuming thefuture will be like the past

    Associative models / Causal Methods- usesexplanatory variables to predict the future (whenhistorical data are available and the relationshipbetween

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    Demand Patterns

    The repeated observations of demand in their order ofoccurrence form a pattern known as time series.

    Five basic patterns: Horizontal

    Trend

    Seasonal

    Cyclical Random

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    Steps in Forecasting

    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 Monitor the forecast

    The forecast

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    Designing Forecast Methods

    Deciding what to forecast

    Level of Aggregation

    Units of measurement Choosing the type of technique

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    1. Judgment Methods

    In some cases, these are the only way to make a forecast. Inothers, these can be used to modify forecasts generatedquantitatively. Four types are common:

    1) Salesforce Estimates2) Executive Opinion

    3) Market Research

    4) Delphi Method

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    Are Judgmental Methods always reliable?

    "Man will never reach the moon regardless of all future scientific

    advances." -- Dr. Lee DeForest, Inventor of TV

    "The bomb will never go off. I speak as an expert in explosive." -- AdmiralWilliam Leahy, U.S. Atomic Bomb Project

    "I think there is a world market for maybe five computers." -- Thomas Watson,

    chairman of IBM, 1943

    "640K ought to be enough for anybody." -- Bill Gates, 1981

    "This 'telephone' has too many shortcomings to be seriously consideredas a means of communication. The device is inherently of no value to

    us." -- Western Union internal memo, 1876

    We've all heard predictions about the future.Sure, sometimes "experts" are right on target,but check out what they got wrong

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    2. Causal Methods

    Linear Regression Analysis

    - Establishes relationship between a DEPENDANT variable and one ormore INDEPENDENT variables

    -We use our knowledge of the relationship between the two and aboutthe future values of the independent variables to forecast the futurevalues of the dependant variable.

    - If there is only one independent variable, it is called as SimpleRegression Analysis (Generally time period)

    Y = a + bX a0 1 2 3 4 5 X (Time)

    Y

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    2. Causal Methods

    Linear Regression Analysis

    Problem:

    The Renovators construction company repairs/reconstructs old roads inSacramento, U.S. Over time they have found that companys dollar volume ofreconstruction work (Sales) is dependant on the total amount of road constructioncontracts offered by City Council every quarter . Management wants to establish

    a mathematical relationship to help predict sales.!!!!!!!!!!!!!!!!!!!!!!!!

    Year Quarter Sales(Thousand $)

    Contracts(Thousand $)

    1 Q1Q2

    Q3Q4

    810

    159

    150170

    190170

    2 Q1Q2Q3

    Q4

    121312

    16

    180190200

    220

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    Linear Regression Analysis

    x= independent variable

    y= dependent variablen= number of observationsa= vertical axis interceptb= slope of regression liney = mean value of dep. Variable

    Y = values of y that lie on the

    trend lineX = values of x that lie on thetrend liner= coefficient of correlationr2 = coefficient of determination

    a= (x2y - x xy) / (n x2(x)2)

    b= ( n xy - x y) / (n x2(x)2 )

    r= (nxy - x y) / [n x2(x)2][ny2 (y)2 ]

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    Time Series Methods

    Naive Forecast :Forecast for the next period equals thedemand (Dt) for current period

    o Simple and low-cost

    o If random variation is large, highly useless for planning

    Estimating the Average: Simple Moving Average

    Weighted Moving Average

    Exponential Smoothing

    Unlike causal methods, these methods use historical information regarding

    ONLY the dependent variable

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    Exponential Smoothing

    A sophisticated weighted-moving average forecasting methodthat involves very little record keeping of past data.

    New Forecast = Last periods forecast + ( Last periods actualdemandLast periods forecast)

    Or

    Ft + 1 =Ft + (Dt Ft)

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    Mean Actual Deviation (MAD)

    First measure of the overall forecast error

    MAD = I Actual demand - Forecast I---------------------------------------------

    n

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    Trend Adjusted Exponential Smoothing

    Simple exponential smoothing, like moving averagesmethods fail to respond to .??????

    At = (Demand this period) + (1-) (Average + Trendestimate last period)

    = ( Dt ) + (1-)(At-1 + Tt-1 )

    Tt = (Avg. this period Avg. last period) + (1 ) (Trend

    estimate last period)= (At - At-1 ) + (1 ) Tt-1

    Ft+1 = At + Tt