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CHAPTER 3 FORECASTING
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FORECASTING Forecasts serve as a basis for planning--capacity, budgeting, sales, production, inventory, personnel Successful forecasting requires a skillful blending of both art and science Two uses of forecasts: Planning the system--Long Range Planning the use of the system--Short Range
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Forecasting Assumes causal system
past ==> future Forecasts rarely perfect because of randomness Forecasts more accurate for groups vs. individuals Forecast accuracy decreases as time horizon increases I see that you will get an A this semester.
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Elements of a Good Forecast
Timely Accurate Reliable Written Easy to use Meaningful
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Steps in the Forecasting Process
Step 1 Determine purpose of forecast Step 2 Establish a time horizon Step 3 Select a forecasting technique Step 4 Gather and analyze data Step 5 Prepare the forecast Step 6 Monitor the forecast “The forecast”
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APPROACHES TO FORECASTING
QUALITATIVE--based on subjective inputs, soft data judgmental forecasts, opinions, hunches, experience, etc. QUANTITATIVE--based on historical data --project past experience into the future --uncover relationships between variables that can be used to predict the future
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Types of Forecasts Judgmental - uses subjective inputs
Time series - uses historical data assuming the future will be like the past Associative models - uses explanatory variables to predict the future
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Judgmental Forecasts Executive opinions Sales force composite
Consumer surveys Outside opinion Opinions of managers and staff Delphi technique
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QUANTITATIVE FORECASTS
Time-Series techniques --Naïve --Moving Average models --Exponential Smoothing models --Classical Decomposition --Box-Jenkins ARIMA models --Neural Networks
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QUANTITATIVE FORECASTS
Causal or Associative techniques --Simple linear regression --Multiple linear regression --Nonlinear regression
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FORECASTING DATA “time-series”
--time-ordered sequence of observations taken at regular intervals over a period of time Annual, Quarterly, Monthly, Weekly, Daily, Hourly, etc.
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UNDERLYING BEHAVIOR Trend - long-term movement in data
Seasonality - short-term, regular, periodic variations in data Cycles - wave-like variations of more than one year’s duration Irregular variations - caused by unusual circumstances Random variations - caused by chance
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Forecast Variations Trend Cycles Irregular variation 90 89 88
Seasonal variations
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Naive Forecasts Uh, give me a minute.... We sold 250 wheels last
week.... Now, next week we should sell.… “the latest observation in a sequence is used as the forecast for the next period” Ft = At-1
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MAn Ft = n Ai “an average that is repeatedly updated” å
Simple Moving Average MAn Ft = n Ai “an average that is repeatedly updated” i = 1 å
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Exponential Smoothing
Ft = Ft-1 + a(At-1 - Ft-1) Premise--The most recent observations might have the highest predictive value. Therefore, we should give more weight to the more recent time periods when forecasting.
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Forecast Accuracy Error – difference between actual value and predicted value Mean absolute deviation (MAD) - Average absolute error Mean squared error (MSE) - Average of squared error Mean absolute percent error (MAPE) - Average absolute percent error Tracking Signal - Ratio of cumulative error and MAD
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- forecast Actual n MAD = Actual forecast - å n MSE = Actual
MAD,MSE, & MAPE MAD = Actual forecast - å n MSE = Actual forecast) - 1 2 å n ( Actual - forecast X 100 MAPE = Actual n
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å å Tracking Signal Tracking signal = (Actual - forecast) MAD
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