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Equation 25 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

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LL

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average work in progress, λ\lambda throughput, and W cycle time. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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LL

Symbol L

average work in progress, λ\lambda throughput, and W cycle time.

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where L is average work in progress, λ\lambda throughput, and W cycle time. Adding agent concurrency can increase candidate arrival rate λg\lambda_g without increasing review service rate μr\mu_r . When λg\lambda_g≥\geμr\mu_r , the review queue grows and cycle time worsens.

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