If you’re familiar with Neil Gunther’s Universal Scalability Law,
you may have heard it said that there are two coefficients,
variously called alpha and beta or sigma and kappa. There are
actually three coefficients, though. See?
No, you don’t see it — but it’s actually there, as a hidden “1″
multiplied by N in the numerator on the right-hand side. When
you’re using the USL to model a system’s scalability, you need to
use the C(1), the “capacity at one,” as a multiplier. I call this
the coefficient of performance. It’s rarely 1; it’s usually
thousands.
To illustrate why this matters, consider two systems’ throughput
as load increases:
The green line and the blue line are both linearly scalable
systems. Add twice the concurrency, get twice the throughput. But
the slope of the lines is different. The green system can do
three times as much work as the blue system, even though it’s no
more …
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