Abstract
Inspection threshold is one of effective methods to reduce causes of misjudgement under imperfect inspection. Based on the Bayesian theory, the threshold is defined as the boundary between inspection and noninspection execution. However, the formulation of the true threshold is difficult under a general complex system. This paper proposes approximation methods to derive the maximum and the minimum inspection thresholds for a general system. A binary reliability theory is used for the derivation of the thresholds. Structure functions, minimal path and cut sets are used for the approximation. Finally, some numerical examples are given.
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