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Equation 24 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

What does this equation mean?

L=λW,L=\lambda W,

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Inputs and operationsλ W
Result or conditionL
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This equation states an equality: the expressions on both sides have the same value under the article’s assumptions. 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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λ\lambda

Symbol λ

λ is an input to the expression that computes the quantity on the left.

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WW

Symbol W

W is an input to the expression that computes the quantity on the left.

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=

=

The expressions on both sides represent the same quantity under the stated assumptions.

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How to interpret it

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What the article says around this equation

Little’s Law states L=λWL=\lambda W. 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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