multiplication

The passage around this formula

Capacity planning built on a vendor’s peak specification, or even on a single well-tuned benchmark run, systematically overestimates what a production fleet delivers, because it leaves out two things that only show up at sustained, continuous operation: the utilization gap already discussed, and the fraction of wall-clock time the fleet is not running at all. A workable capacity model has to account for both. A simple way to state the assumption explicitly is $T_{\mathrm{fleet}} = N \cdot P_{\mathrm{device}} \cdot U_{\mathrm{sustained}} \cdot A$. where N is the device count, $P_{\mathrm{device}}$ is a single device’s measured (not advertised) throughput on the actual workload, $U_{\mathrm{sustained}}$ is the utilization fraction observed over a representative…

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