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Not sure if that is what you mean, but at Microsoft they have the *Bug Cap Formula, which is:

Bug Cap = # engineers * 5

If the bug count exceeds the cap at the end of the sprint, the next sprint is used for bug fixing only.

I absolutely love this idea and I will be lobbying for this going forward.

Seems easily gameable by simply not reporting any new bugs.

My impression is that, at a place like MS, bugs are often reported by a separate team accountable to different metrics.

That works for consumer facing bugs, but a whole lot of them are found by devs.