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$u \in (0, 1]$

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Here the break-even arithmetic is genuinely simple, and worth writing down, because it is the one place in this comparison where a clean model — not a ranking of vendors — is possible. Let a reserved commitment cost $P_r$ per accelerator-hour, and let the on-demand or serverless rate that would otherwise serve the same throughput cost $P_d$ per accelerator-hour at full utilization. If the buyer’s realized utilization of the reserved capacity is u $\in$ (0, 1] , the reserved option is cheaper exactly when

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u \in (0, 1]

Equation 9 · Inference Economics

Comparing the Main Approaches to AI Inference Economics

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Here the break-even arithmetic is genuinely simple, and worth writing down, because it is the one place in this comparison where a clean model — not a ranking of vendors — is possible. Let a reserved commitment cost $P_r$ per accelerator-hour, and let the on-demand or serverless rate that would otherwise serve the same throughput cost $P_d$ per accelerator-hour at full utilization. If the buyer’s realized utilization of the reserved capacity is u $\in$ (0, 1] , the reserved option is cheaper exactly when

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u∈(0,1]u \in (0, 1]u∈(0,1]