Two-stage examination: analysis and evaluation of characteristics

We consider a two-stage examination process, which is aimed at classifying products into one of the following categories: suitable, unsuitable, and conditionally suitable. The latter category includes products with removable deficiencies (shortcomings). A general algorithm for a two-stage adaptive examination is presented. The first stage involves a preliminary check, on which basis the subsequent (final) check is prescribed. In this case, the checks of the second stage сan be different, depending on the decision made during the verification process at the first stage. A set of probabilistic matrix models is constructed to describe each individual test. A set of analytical assessments is obtained, making it possible to characterize the entire two-stage examination. An analysis of possible variations in the characteristics of individual checks is carried out, e. g., the exclusion of the second-stage check that examines products found unsuitable. An analysis of possible risks caused by incorrect decision making, as well as the resulting losses, is carried out. The problem of improving (local optimization) the construction of a two-stage examination algorithm, taking resource costs and possible losses into account, is formulated. An assessment of the stereotypicality and logical complexity of the entire algorithm for implementing a two-stage examination is carried out. The results obtained allow us to compare different examination methods, both two-stage and one-stage, in order to select the most optimal solution.

Authors: M. A. M. Amran, N. A. Nazarenko, P. I. Paderno

Direction: Informatics, Computer Technologies And Control

Keywords: two-stage examination, product, examination methods, algorithm, characteristics, probabilities, errors, suitability, unsuitability, elimination, average time, resources, losses, stereotypicality, logical complexity, number of operations

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