Weighted average of a production line OEE

wallyak

New member
Joined
Feb 13, 2021
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Hi all,

I hope this is the right category, since I'm not sure where to post this topic.

I have been trying to understand what's wrong with a formula I'm using for a while and I've ended in this website to get some help.

The general OEE formula (Overall Equipment Effectiveness) is
OEE = Quality * Performance * Availability.
Don't need to specify the logic behind that, just think it like a simple multiplication of 3 percentages.
here's an example
When Quality = 99% Performance = 90% Availability = 80%, the OEE value would be 71.28%

What I'm trying to do is a weighed average of several OEE values.
The formula would be something like this.
weightedOEE = (OEE1 * weight1) + (OEE2 * weight2) / (weight1 + weight2)

Now when I calculate the weighted Quality , weighted Performance and weighted Availability according the same formula and multiply the 3 values I get a slightly different number (assume that I use Excel for this).

WeightQualityPerformanceAvailabilityOEE
100​
99.50​
90.50​
60.00​
54.03​
200​
98.50​
88.00​
75.00​
65.01​
700​
99.90​
95.00​
80.00​
75.92​
SUM = 1000​
weighted =99.58​
weighted = 93.15​
weighted 77.00​
weighted = 71.55​
71.42​
multiplication of 3 weighted averages

I thought it was related to some kind of approximation, but I'm not totally sure about that, since it's a fair difference
There must be a math explanation, could you please help me? :)

Thank you

Wally
 
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