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Published equation contexts

TCdevice=Cdev+U+Q⋅cd,TCcloud=Q⋅ccloudTC_{\mathrm{device}} = C_{\mathrm{dev}} + U + Q \cdot c_{d}, \qquad TC_{\mathrm{cloud}} = Q \cdot c_{\mathrm{cloud}}

Why this formula appears here

Define CdevC_{\mathrm{dev}} as the fixed, per-release engineering and QA cost of producing and validating the device-tier variant matrix described above — the harness time, the pass/fail sign-off per tier, per quantization scheme, per chip target. Define U as the cost of distributing model updates to the installed fleet, expanded in the next section. Define cdc_{d} as the marginal cost of one additional on-device inference and ccloudc_{\mathrm{cloud}} as the marginal cost of one additional cloud-served inference of the same model. Total cost over Q queries under each placement is TCdevice=Cdev+U+Q⋅cd,TCcloud=Q⋅ccloudTC_{\mathrm{device}} = C_{\mathrm{dev}} + U + Q \cdot c_{d}, \qquad TC_{\mathrm{cloud}} = Q \cdot c_{\mathrm{cloud}}. and the break-even query volume — the point at which on-device placement stops costing more than cloud…

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CdeviceC_{\mathrm{device}}

Symbol C_device

CdC_device is part of the quantity the equation computes from the expression on the right.

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CdevC_{\mathrm{dev}}

Symbol C_dev

the fixed, per-release engineering and QA cost of producing and validating the device-tier variant matrix described above — the harness time, the pass/fail sign-off per tier, per quantization scheme, per chip target.

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cdc_{d}

Symbol c_d

the marginal cost of one additional on-device inference and ccloudc_{\mathrm{cloud}} as the marginal cost of one additional cloud-served inference of the same model.

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CcloudC_{\mathrm{cloud}}

Symbol C_cloud

CcC_cloud is one of the signed contributions combined to compute the quantity on the left.

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ccloudc_{\mathrm{cloud}}

Symbol c_cloud

ccc_cloud is one of the signed contributions combined to compute the quantity on the left.

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Published contexts (1)

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TCdevice=Cdev+U+Q⋅cd,TCcloud=Q⋅ccloud,TC_{\mathrm{device}} = C_{\mathrm{dev}} + U + Q \cdot c_{d}, \qquad TC_{\mathrm{cloud}} = Q \cdot c_{\mathrm{cloud}},

Equation 14 · Edge AI & Electronics

The Real Economics of Shipping a Model to a Device

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

Define CdevC_{\mathrm{dev}} as the fixed, per-release engineering and QA cost of producing and validating the device-tier variant matrix described above — the harness time, the pass/fail sign-off per tier, per quantization scheme, per chip target. Define U as the cost of distributing model updates to the installed fleet, expanded in the next section. Define cdc_{d} as the marginal cost of one additional on-device inference and ccloudc_{\mathrm{cloud}} as the marginal cost of one additional cloud-served inference of the same model. Total cost over Q queries under each placement is TCdevice=Cdev+U+Q⋅cd,TCcloud=Q⋅ccloudTC_{\mathrm{device}} = C_{\mathrm{dev}} + U + Q \cdot c_{d}, \qquad TC_{\mathrm{cloud}} = Q \cdot c_{\mathrm{cloud}}. and the break-even query volume — the point at which on-device placement stops costing more than cloud…

Meanings in this article

  • CdevC_{\mathrm{dev}}: the fixed, per-release engineering and QA cost of producing and validating the device-tier variant matrix described above — the harness time, the pass/fail sign-off per tier, per quantization scheme, per chip target.
  • UU: the cost of distributing model updates to the installed fleet, expanded in the next section.
  • cdc_{d}: the marginal cost of one additional on-device inference and ccloudc_{\mathrm{cloud}} as the marginal cost of one additional cloud-served inference of the same model.
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