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Table 3: Machine setup time (Hours) after changeTable 4: Error in prediction values after changeIntervalActualMoving AverageExponentialSmoothing (Note-2)IntervalMovingAverage Error (Hours)ExponentialSmoothing Error (Hours)1 6 - 6 (Note-1)2 3.45 - 63 3.35 4.73 3.964 3.45 3.40 3.885 3.25 3.40 3.966 4.55 3.35 3.87 - 3.90 4.841 - -2 - -2.63 -1.4 -0.64 0.0 -0.45 -0.2 -0.76 1.2 0.8featureNotes: 1. Initial Prediction Value is six hours.2. Smoothing Constant of 0.8 on actual value.Graph 2: Machine setup time trend after change• Error in PredictionPrediction error is the difference betweenthe actual and predicted value. It is notpossible <strong>to</strong> achieve zero error.• Unpredictable EventsSporadic occurrences are design failuresthat will cause unpleasant things <strong>to</strong>happen. It is unpredictable. It occursdue <strong>to</strong> many unknown fac<strong>to</strong>rs. It is onlyknown when it occurs.One well known technique <strong>to</strong>analyse failure data is Failure Mode andEffects Analysis FMEA. This method isa <strong>to</strong>ol that will build in quality in<strong>to</strong> theproduct or service. It requires a lot ofexperience and knowledge <strong>to</strong> removethe defect(s) from the product or servicein analysing possible failures and theactions that are required <strong>to</strong> avoid.Management involvement, I believe, canremove possible failure in the project.Applying the two predictive methodson setup time shows a trend. This trendis shown in Graph 1. Table 1 showsthe actual time taken <strong>to</strong> setup the lineand prediction values using the above<strong>for</strong>mulae. Table 2 shows the error.By recording the time after eachactivity, a trend can be seen in this project.The personnel involved in the activityworked <strong>to</strong>wards a common goal <strong>to</strong> reducethe setup time. The prediction valuesbased on equation [1] and [2] ascertainthat the setup time is in control. Based onthe predictive equations, the next setuptime will either increase or reduce a little,ensuring a quantitative approach.The equations are only a mathematicalguide <strong>to</strong> determine the next unknownvalue. Based on the first equation, it iscalculated by the average of two pastvalues. Based on the second equation, thenext value is based on a weighted fac<strong>to</strong>r ofan actual value and a predicted value. Thesmoothing constant determines whetherthe next value is closer <strong>to</strong> the past valueor the past prediction.By calculating the average of theprediction errors (sum of errors dividedby 20), a prediction limit is found. In thiscase, it is +/-0.3 hours <strong>for</strong> the movingaverage method and +/-0.2 <strong>for</strong> theexponential smoothing method.Diagram 1 shows that the predictionvalue based on the moving averagemethod or the exponential smoothingmethod is either more or less than 0.2<strong>to</strong> 0.3 hours of the predicted value(approximately 10-20 minutes).After recording the time, somechanges were made <strong>to</strong> the productionline. The following data shows theresult. The time taken <strong>to</strong> setup the lineis more stable. The setup time is shownin Table 3 and the error is tabulated inTable 4.In conclusion, it is not possible <strong>to</strong>predict an actual value. Predictionequations only assure methodologicallythat a value is within the limit. It is onlytrue provided that fac<strong>to</strong>rs in setting upthe machine are the same. A trend linehas <strong>to</strong> be established. The equationsroughly predict the next value. nJurutera May <strong>2009</strong>13

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