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Equation 8 · AI Memory Systems and the Bandwidth Wall in Practice: An Advanced Technical Guide

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MKVM_{\mathrm{KV}}

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MKVM_{\mathrm{KV}}

Symbol M_KV

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subscript

subscript

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Paging attacks the allocator, not the product. Kwon and colleagues observed that existing serving systems store each request’s KV cache in one contiguous span of memory sized for its maximum possible length, and that this produces internal fragmentation, external fragmentation, and duplicated memory across parallel sampling requests — the paper reports that existing systems waste 60 to 80 percent of KV cache memory this way. Their PagedAttention design instead manages the cache in fixed-size blocks addressed indirectly, the same idea an operating system uses for virtual memory, and reports near-zero waste in KV cache memory alongside a 2 to 4 times improvement in serving throughput at the…
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Paging attacks the allocator, not the product. Kwon and colleagues observed that existing serving systems store each request’s KV cache in one contiguous span of memory sized for its maximum possible length, and that this produces internal fragmentation, external fragmentation, and duplicated memory across parallel sampling requests — the paper reports that existing systems waste 60 to 80 percent of KV cache memory this way. Their PagedAttention design instead manages the cache in fixed-size blocks addressed indirectly, the same idea an operating system uses for virtual memory, and reports near-zero waste in KV cache memory alongside a 2 to 4 times improvement in serving throughput at the same level of latency compared with prior systems, with the improvement growing for longer sequences, larger models and more complex decoding algorithms [ 4 ] . Paging does not reduce MKVM_{\mathrm{KV}} per token; it reduces the waste around it, which in practice is often the larger number.

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