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Equation 1 · Part 2 · AI Accelerator Architecture in Practice: An Advanced Technical Guide

Symbol N

Tfleet=N⋅Pdevice⋅Usustained⋅A,T_{\mathrm{fleet}} = N \cdot P_{\mathrm{device}} \cdot U_{\mathrm{sustained}} \cdot A,
NN

What this part means

N is one factor in the product that computes the quantity on the left.

Its job in the formula

N is one factor in the product that computes the quantity on the left.

The passage around this formula

…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 Tfleet=N⋅Pdevice⋅Usustained⋅AT_{\mathrm{fleet}} = N \cdot P_{\mathrm{device}} \cdot U_{\mathrm{sustained}} \cdot A. where N is the device count, PdeviceP_{\mathrm{device}} is a single device’s measured (not advertised) throughput on the actual workload, UsustainedU_{\mathrm{sustained}} is the utilization fraction observed over a representative multi-hour or multi-day window rather than a benchmark’s best run, and A is availability —…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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