Equation 12 · Comparing the Main Approaches to AI Inference Economics
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol u
u is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Below the break-even utilization , paying on demand only for the hours actually used is cheaper than holding a reservation that sits partly idle; above it, the reservation wins. What no published rate card can supply is u itself — a property of the buyer’s own traffic, not of any vendor’s pricing page — which is exactly why “is reserved capacity worth it” has no answer that holds across buyers, only a formula that turns a buyer’s own utilization forecast into one.
Sources cited in the article section
- [1] EC2 On-Demand Instance Pricing ↗
- [4] Compute Savings Plans Pricing ↗
- [7] Provisioned Throughput for Foundry Models ↗
- [8] Pricing ↗
- [6] GPU Cloud Pricing ↗
These citations give research context. Read each source to check which claims it supports.
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