← All parts of this equation

Equation 1 · Part 6 · AI Accelerator Architecture in Practice: An Advanced Technical Guide

=

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

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

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 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…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the article section

These citations provide research context; check each source for the exact claim it supports.