Equation 28 · The Real Economics of Shipping a Model to a Device
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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.
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Symbol C_dev
ev is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
the number of devices in the fleet, times the bytes pushed to each device per update, times the price per byte of moving that data. Amazon’s published CloudFront pricing states data transfer out to the internet at $0.085 per gigabyte for the first nine terabytes per month in the United States, Mexico and Canada tier, after a free first terabyte [ 14 ] . As an illustrative calculation only, using that public list price rather than any negotiated enterprise rate: a modest 200-megabyte delta update pushed to a fifty-million-device fleet is ten million gigabytes of egress, or roughly $850,000 at that listed rate — before any volume discount, delta-patch efficiency gain, or CDN caching a real…
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the number of devices in the fleet, times the bytes pushed to each device per update, times the price per byte of moving that data. Amazon’s published CloudFront pricing states data transfer out to the internet at $0.085 per gigabyte for the first nine terabytes per month in the United States, Mexico and Canada tier, after a free first terabyte [ 14 ] . As an illustrative calculation only, using that public list price rather than any negotiated enterprise rate: a modest 200-megabyte delta update pushed to a fifty-million-device fleet is ten million gigabytes of egress, or roughly $850,000 at that listed rate — before any volume discount, delta-patch efficiency gain, or CDN caching a real operator would negotiate. A full model re-download rather than a delta patch, at two gigabytes per device across the same fleet, would be an order of magnitude higher. Real operators pay less than this ceiling through bulk contracts and patch efficiency, but the ceiling illustrates why U belongs in the equation at all: it is a cost that scales with fleet size regardless of how many of those devices ever actually invoke the feature being updated, which is precisely the same property that makes dangerous to ignore.
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