MANUFACTURING – INDUTRIAL ROBOTIC & AUTOMATION CALCULATOR
Production Yield Rolled
A precise tool.
What is the Production Yield Rolled & How does it work?
In a multi‑station manufacturing line each station contributes its own probability of passing a part without defect. The overall ability of the line to produce good parts is not the simple average of those probabilities, but the product of the individual pass‑rates, a concept known as rolled throughput yield. The rolled yield captures the compounding effect of defects: a 2 % defect rate at five consecutive stations reduces the final good‑part percentage far more than a single 2 % defect would suggest. Understanding this metric helps engineers pinpoint where improvements will have the greatest impact on overall productivity. By calculating rolled throughput yield you can translate defect‑rate data into concrete expectations for output volume, enabling better capacity planning, cost estimation, and continuous‑improvement initiatives across the entire automation system.
Y_{rolled} = prod_{i=1}^{n} left(1 – d_iright)
Y_{rolled} = rolled throughput yield, d_i = defect rate at station i (as a decimal), n = number of stations
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Result
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Frequently Asked Questions
What is rolled throughput yield?
Rolled throughput yield (RTY) is the probability that a part will pass through all stations in a manufacturing process without defects. It’s calculated by multiplying the pass rates of each station.
How does RTY differ from simple average yield?
RTY accounts for the compounding effect of defects across multiple stations, resulting in a lower overall yield compared to simply averaging the individual station yields.
Can you explain how to calculate RTY with an example?
To calculate RTY, multiply the pass rates of each station. For instance, if Station A has a 98% pass rate and Station B has a 95% pass rate, the RTY is 0.98 * 0.95 = 0.931 or 93.1%.
What does a low RTY indicate?
A low RTY indicates that there are significant quality issues in one or more stations, leading to a high rate of defective parts reaching the end of the production line.
How can improving RTY benefit a manufacturing process?
Improving RTY can lead to higher product quality, reduced waste, and increased efficiency, ultimately resulting in lower costs and higher customer satisfaction.
Is RTY only applicable to manufacturing lines?
While RTY is commonly used in manufacturing, it can also be applied to other processes where multiple stages or steps are involved, such as software development or service delivery.
How often should I calculate RTY for my process?
It’s recommended to calculate RTY regularly, such as weekly or monthly, to monitor and improve the overall quality of your manufacturing line.
Results are for informational purposes only and do not constitute professional advice.