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DTM.8:5.2 - The same unresolved stock can hide a different source

Let L be the expected number of unresolved erroneous results, e the expected arrival rate and r the resolution rate per unresolved result. Under the illustrative approximation L’=e−rL, the stationary stock is e/r.

At e=50 per week and r=1 per week, the stock is 50. Halving e or doubling r gives a stationary stock of 25, but through different actions. In the latter case 50 new erroneous results still arrive each week.

The approximation assumes the resolution capacity supports a rate proportional to L. If a fixed-capacity correction team becomes saturated, that assumption fails; an OPS model is needed. The equal stationary stocks do not establish equal cost, delay, external consequence or further spread.