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A Debugging Model with Independent Flaws and Random Masking

Kyle Siegrist

Operations Research · 1986 · Volume 34 · Issue 1

DOI: 10.1287/opre.34.1.177

Abstract

A system with a Poisson-distributed number of flaws is undergoing a sequence of trials designed to detect and remove the flaws. On each trial, independently and with probability q , masking occurs that blocks the detection of flaws on that trial. If masking does not occur on a trial then each flaw in the system, independently, is detected with probability p on that trial. Each flaw detected on a trial, independently, is removed with probability r before the next trial. This note derives distributions and measures of quality for this problem.

Keywords

723 failure models

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