Послідовний адаптивний метод прийняття рішення про придатність продукції
Date
2018-02-26
Journal Title
Journal ISSN
Volume Title
Publisher
Видавництво Львівської політехніки
Abstract
Проаналізовано вимоги до підвищення вірогідності оцінки відповідності продукції. Показано, що
вірогідність прийняття правильного рішення залежить від невизначеності вимірювання, пов’язаної з результатом
вимірювального контролю, та довжиною допускового інтервалу. Встановлено, що найефективнішим методом
оцінювання та прийняття рішення щодо відповідності об’єкта є послідовний адаптивний метод, та висвітлено його
сутність. Розроблено алгоритм реалізації запропонованого методу. Показано, що застосування методу підвищує
ймовірність прийняття правильного рішення про відповідність для кожного контрольованого об’єкта, та, порівняно з
відомими методами, істотно не впливає на зменшення продуктивності та підвищення собівартості продукції.
The article analyzes the requirements for increasing the probability of conformity assessment of products. It is shown that to increase the probability of measuring inspection traditionally more precise measuring systems are used; perform multiple observations of the investigated quantity, taking for the result of the measurement the average arithmetic value: set tolerance intervals. An analysis was conducted of each of the ways to increase the probability of assessing the compliance of the object and showing the disadvantages of each of them. It is shown that the results of the evaluation of the object of inspection parameters are inevitably related to the uncertainty due to the imperfection of this procedure, equipment and the influence of external random factors. Reducing this effect is especially important within certain limits around the limit values of the tolerance interval with simultaneous reduction of the volume of additional measurements. Therefore, the decree is about suitability or unsuitability of the object of inspection account should be taken of both the possible uncertainty of the result and the requirements regarding the cost and complexity of the inspection procedure, as well as the given reliability. To avoid these disadvantages and limitations offered adaptive successive decision-making method for compliance. At the beginning of the decision-making process, based on the actual relationship between the length of the tolerance interval and the uncertainty of measurement, are found the initial relative tolerance limits, upper and lower, which correspond to the probability of making a decision about the correspondence of рв = 95 %. In accordance with these relative tolerance limits determine tolerance limits for the primary measurement, with which the primary measurement result is compared. In the case when the primary measurement result goes beyond the tolerance interval, they pass to the adaptive procedure, performing additional measurements each time until their average value falls within the tolerance interval. Number of successive steps determine for the permissible «residual« probability of making a false decision on the correspondence of the object. This probability depends on the parameters of the probability density function of the investigated quantity. Application of the method allows increase probability of making a correct decision about compliance for each inspected object and in comparison with known methods, does not significantly affect the decrease in productivity and increase the cost price of the product. The practical use of the algorithm has shown that the 5 additional stages of the research, makes it possible to reduce the probability of false solutions at least thrisely, an increase in inspection operations does not exceed 60 %.
The article analyzes the requirements for increasing the probability of conformity assessment of products. It is shown that to increase the probability of measuring inspection traditionally more precise measuring systems are used; perform multiple observations of the investigated quantity, taking for the result of the measurement the average arithmetic value: set tolerance intervals. An analysis was conducted of each of the ways to increase the probability of assessing the compliance of the object and showing the disadvantages of each of them. It is shown that the results of the evaluation of the object of inspection parameters are inevitably related to the uncertainty due to the imperfection of this procedure, equipment and the influence of external random factors. Reducing this effect is especially important within certain limits around the limit values of the tolerance interval with simultaneous reduction of the volume of additional measurements. Therefore, the decree is about suitability or unsuitability of the object of inspection account should be taken of both the possible uncertainty of the result and the requirements regarding the cost and complexity of the inspection procedure, as well as the given reliability. To avoid these disadvantages and limitations offered adaptive successive decision-making method for compliance. At the beginning of the decision-making process, based on the actual relationship between the length of the tolerance interval and the uncertainty of measurement, are found the initial relative tolerance limits, upper and lower, which correspond to the probability of making a decision about the correspondence of рв = 95 %. In accordance with these relative tolerance limits determine tolerance limits for the primary measurement, with which the primary measurement result is compared. In the case when the primary measurement result goes beyond the tolerance interval, they pass to the adaptive procedure, performing additional measurements each time until their average value falls within the tolerance interval. Number of successive steps determine for the permissible «residual« probability of making a false decision on the correspondence of the object. This probability depends on the parameters of the probability density function of the investigated quantity. Application of the method allows increase probability of making a correct decision about compliance for each inspected object and in comparison with known methods, does not significantly affect the decrease in productivity and increase the cost price of the product. The practical use of the algorithm has shown that the 5 additional stages of the research, makes it possible to reduce the probability of false solutions at least thrisely, an increase in inspection operations does not exceed 60 %.
Description
Keywords
оцінка відповідності, невизначеність вимірювання, адаптивний метод, послідовний алгоритм, вірогідність, прийняття рішення, conformity assessment, uncertainty of measurement, adaptive method, successive algorithm, probability, decision making
Citation
Володарський Є. Т. Послідовний адаптивний метод прийняття рішення про придатність продукції / Є. Т. Володарський, Л. О. Кошева, М. О. Клєвцова // Вимірювальна техніка та метрологія : міжвідомчий науково-технічний збірник. — Львів : Видавництво Львівської політехніки, 2018. — Том 79. — № 1. — С. 58–63.