Abstract
It is shown that the probability of making the right decision on the compliance of the object with the norms depends on the measurement uncertainty associated with the result of the measurement control of the object parameters and the length of the tolerance interval. The decisive rule on the suitability (unfitness) of the object of control should take into account both the possible uncertainty of the result and the requirements for the cost and complexity of the control procedure, as well as to the specified reliability. To improve the reliability of this procedure, a control method based on a sequential adaptive decision-making procedure is proposed, which takes into account the relationship of the parameters of the distribution law of the possible values of the controlled quantity, random effects in the measurement and the length of the tolerance interval. The decision-making procedure assumes consistently, depending on the result at the current stage, to introduce additional tolerance intervals, the length of which is determined by the parameters of the distribution function of random variables accompanying the measurements of the controlled parameters. The result of measurement of the controlled parameter is compared with these intervals, and decisions on continuation or completion of control with introduction of additional limits are made. This provides a reduction in the probability of erroneous decisions at each additional stage of control, since the time of the initial hit of the controlled value in a consistently calculated controlled interval is determined step by step. The use of a sequential adaptive procedure provides a given reliability of control and does not allow to carry out the control procedure in full for all possible values of the controlled value.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
ISO/IES 17000:2004 (rev. 2014). Conformity assessment. Vocabulary and general principles
International vocabulary of metrology - Basic and general concepts and associated terms (VIM), JCGM 200:2008, Joint Committee for Guides in Metrology (JCGM) (2008)
Tirkel, I., Rabinowitz, G.: The relationship between yield and flow time in a production system under inspection. Int. J. Prod. Res. 50, 3686–3697 (2012)
Volodarsky, E., Warsza, Z., Kosheva L.A., Idzkowski, A.: Method of upgrading the reliability of measurement inspection. Advances in Intelligent Systems and Computing, vol. 393, pp. 431–438. Springer, Cham (2016)
Volodarsky, E., Warsza, Z., Kosheva, L.A., Idzkowski, A.: Precautionary statistical criteria in the monitoring quality of technological process. Advances in Intelligent Systems and Computing, vol. 543, pp. 740–750. Springer, Cham (2017)
Warsza, Z., Idzkowski, A.: About accuracy of the simultaneous measurement of temperature difference and average using transducers with Pt sensors. Przemys. Chem. 96(2), 380–385 (2017). (in Polish)
Idzkowski, A., Walendziuk, W., Swietochowski, P., Warsza, Z.L.: Metrological properties of a two-output transducer for measuring sum and difference of small resistances. Elektron. Elektrotech. 23(5), 41–45 (2017)
ISO 10576-1:2003. Statistical methods. Guidelines for the evaluation of conformity with specified requirements. Part 1: General principles
ISO/IEC Guide 98-3:2008 Uncertainty of measurement – Part 3: Guide to the expression of uncertainty in measurement (GUM:1995). Geneva: ISO/IEC (2008)
JCGM 106:2012. Evaluation of measurement data – The role of measurement uncertainty in conformity assessment
IEC Guide 115:2007. Application of uncertainty of measurement to conformity assessment activities in the electrotechnical sector
OIML G 19:2017. The role of measurement uncertainty in conformity assessment decisions in legal metrology
Deaver, D.: Guard banding with condense. In: 1994 NCSL Workshop and Symposium, pp. 383–394 (1994)
American Society of Mechanical Engineers. ASME B89.7.3.1:2001 Guidelines for decision rules: Considering measurement uncertainty in determining conformance to specifications, New York (2001)
ISO 14253-1:1998 Geometrical Product Specifications GPS - Inspection by measurement of workpieces and measuring equipment - Part 1: Decision rules for proving conformance or non-conformance with specifications
Sheu, S.-H., et al.: Economic optimization of off-line inspection with inspection errors. J. Oper. Res. Soc. 54, 888–895 (2003)
Jonhson, N., Leone, F.: Statistical and Experimental Design in Engineering and the Physical Science, vol. 2, 2nd edn. Wiley and Sons, New York (1977)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Volodarsky, Е., Warsza, Z.L., Kosheva, L.A., Klevtsova, M.A. (2020). Uncertainty of Measurement and Reliability of the Decision Making on Compliance. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2019. AUTOMATION 2019. Advances in Intelligent Systems and Computing, vol 920. Springer, Cham. https://doi.org/10.1007/978-3-030-13273-6_63
Download citation
DOI: https://doi.org/10.1007/978-3-030-13273-6_63
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-13272-9
Online ISBN: 978-3-030-13273-6
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)