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Number of results: 43
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Abstract

Ethicists have thus far not paid much attention to uncertainty, very often concentrating on highly idealized hypothetical situations where both empirical (e.g. the state of the world, the spectrum of possible decisions and their consequences, the causal connections between events) and normative (the content of norms, value scales) matters were clearly defined and well-known to the decision-maker. In this article, which stems from a project on different types of decisions under uncertainty related to the rapid progress in biomedical research, I analyze some situations of normative uncertainty, cases when an agent must make a decision, but does not know which choice is correct, for example, because he/she has contrary intuitions about the permissibility of available decisions. The view termed comparativism claims that in such cases the appropriate decision depends not only on the credences that one assigns to different norms, but also on how much possible decisions are worth taking in the light of these norms. I analyze a few cases of normative uncertainty, and a specific counter-argument against the current versions of comparativism, showing that under normative uncertainty this view imposes risk neutrality, although it permits us to have different risk attitudes under empirical uncertainty. I also argue that a precautionary approach to situations of normative uncertainty is overly simplistic.

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Authors and Affiliations

Tomasz Żuradzki
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Abstract

The well-known Manning formula is usually used for the calculation of the calculative volumetric flow rate in a river or open canal. The discharge depends on the geometry of the channel, i.e. the water area, the wetted perimeter and the slope, as well as on the roughness coefficients. All these quantities are determined with some uncertainty. The article proposes a methodology for calculating the uncertainty of the roughness coefficients of the riverbed and the floodplain as well as the uncertainty of the geometric dimensions of the riverbed. Then, the method of calculating the uncertainty of the calculative discharge is then given. If these uncertainties are taken into consideration in the process of discharge calculation, then, as has been demonstrated for a hypothetical river channel, the ratio of the uncertainty to the calculated value of the discharge will change from several dozen percent in case of small flows to about ten percent in case of big, flood flows. It has also been shown that the uncertainty of the roughness coefficients has the biggest influence on the uncertainty of the flow rate. The presented calculations show that in order to take into account the influence of uncertainty of linear dimensions and roughness coefficients, the engineer designing the riverbed should assume for the calculations the flow rate increased by 10% then design flow. The obtained results can be used for homogeneous flows only, which is usually assumed in practical engineering calculations.
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Authors and Affiliations

Leszek Oprychał
1
ORCID: ORCID
Aleksandra Bąk
1
ORCID: ORCID

  1. Military University of Technology, Department of Civil Engineering and Geodesy, ul. gen. Sylwestra Kaliskiego 2, 00 -908 Warsaw, Poland
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Abstract

A metrological verification of a high precision digital multimeter was made by the laboratory of calibration of programmable electrical multifunction instruments of the National Institute of Metrological Research (INRIM) in order to verify its accuracy and stability. The instrument had been tested for a period of six months for five low-frequency electrical quantities (DC and AC Voltage and Current and DC Resistance). Its stability and precision were compared with the accuracy specifications of the manufacturer. As a new approach, a performance index of the DMM was introduced and evaluated for each examined measurement point. The DMM showed a satisfactory agreement with its specifications to be considered at the level of other top-class DMMs and even better in some measurements points.

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Authors and Affiliations

Flavio Galliana
Marco Lanzillotti
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Abstract

The fundamental problem from the point of view of pipeline exploitation in KGHM Polska Miedz S.A. is the very high overwearing of the pipes used for the transport of tailings, as well as determining the time of trouble-free operation of pipe system components. Failures involve significant financial outlays, severe restrictions on operation and in some cases even stopping operation. For this reason, it is vital to monitor the condition of the transport systems, as well as to determine the permissible service life of the pipe sections, after which segments at risk should be replaced or turned over in order to extend their further operation. This paper focuses on the application of interval numbers to assess the durability of piping systems. The calculations were made using classical interval numbers by using code written in INTLAB libraries. The correctness of the solutions obtained was verified using the Monte Carlo method, assuming a uniform distribution of random variables.
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Authors and Affiliations

Iwona Duszyńska
1
ORCID: ORCID
Tomasz Krykowski
2
ORCID: ORCID
Paweł Stefanek
1
ORCID: ORCID
Joanna Bzówka
3
ORCID: ORCID

  1. KGHM Polska Miedz S.A., Oddział Zakład Hydrotechniczny, Lubin, Poland
  2. Silesian University of Technology, Faculty of Civil Engineering, Department of Mechanics and Bridges, Gliwice, Poland
  3. Silesian University of Technology, Faculty of Civil Engineering, Department of Geotechnics and Roads, Gliwice, Poland
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Abstract

The main focus of this paper is to propose a method for prioritizing knowledge and technology factor of firms towards sustainable competitive advantage. The data has been gathered and analyzed from two high tech start-ups in which technology and knowledge play major role in company’s success. The analytical hierarchy model (AHP) is used to determine competitive priorities of the firms. Then knowledge and technology part of sense and respond questionnaire is used to calculate the variability coefficient i.e. the uncertainty caused by technology and knowledge factor. The proposed model is tested in terms of two start-ups. Based on the initial calculation of uncertainties, some improvement plan is proposed and the method is applied again to see if the uncertainty of knowledge and technology decreases. In both cases, the proposed model helped to have a clear and precise improvement plan and led in reduction of uncertainty.
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Authors and Affiliations

Josu Takala
Sara Tilabi
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Abstract

House prices are of special importance for monetary policy since their sudden falls are usually associated with credit crunch followed by long-lasting and painful recessions. Despite several spectacular episodes of such events, each time house prices exhibit long-lasting growth trend with little volatility around it, it is argued that this pattern is a “new normal”. This paper shows that a central bank following this view would increase the volatility of inflation and output as compared to a policy that assumes high volatility of house prices. In the former case the monetary authority would conduct too accommodative monetary policy during abrupt house price expansions significantly increasing output and inflation fluctuations. In the latter situation, in turn, the policy would work well irrespective of the realized house price volatility.
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Authors and Affiliations

Grzegorz Wesołowski
1

  1. Narodowy Bank Polski
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Abstract

The suitability of several low-labor geostatistical procedures in the interpolation of highly positively skewed seismic data distributions was tested in the Baltic Basin. These procedures were a combination of various estimators of the model of spatial variation (theoretical variogram) and kriging techniques, together with the initial data transformation to normal distribution or lack thereof. This transformation consisted of logarithmization or normalization using the anamorphosis technique. Two variations of the theoretical variogram estimator were used: the commonly used classical Matheron estimator and the inverse covariance estimator (InvCov), which is robust with regard to non-ergodic data. It was expected that the latter would also be resistant to strongly skewed data distributions. The kriging techniques used included the commonly used ordinary kriging, simple kriging useful for standardized data and the non-linear median indicator kriging technique. It was confirmed that normalization (anamorphosis) is the most useful and less laborious geostatistical procedure of those suitable for such data, which results in a standardized normal distribution. The second, not obvious statement for highly skewed data distributions suggests that the non-ergodic inverted covariance (InvCov) estimator of variogram has an advantage over the Matheron’s estimator. It gives a better assessment of the C 0 (nugget effect) and C (sill) parameters of the spatial variability model. Such a conclusion can be drawn from the fact that the higher the estimation of the relative nugget effect L = C 0/(C 0 + C) using the InvCov estimator, the weaker the correlation between the kriging estimates and the observed values. The values of the coefficient L estimates obtained by using the Matheron’s estimator do not meet this expectation.
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Authors and Affiliations

Justyna Sowińska-Botor
1
Wojciech Mastej
1
ORCID: ORCID
Tomasz Maćkowski
1
ORCID: ORCID

  1. AGH University of Science and Technology, Faculty of Geology, Geophysics and Environmental Protection, Kraków, Poland
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Abstract

United Nations Framework Convention on Climate Change obliges member countries to make an inventory of greenhouse gases emission and, among others, an inventory of fugitive emission from coal mining system. To comply with this obligation, basing on 1992 data. Poland has evaluated so-called "emission factors" for identified sources of methane emission. According to IPCC/OECD guidelines, the emission factors multiplied by coal output allow simple evaluation of methane emission. Since the time when the emission factors were evaluated in 1994, coal industry in Poland has undergone major organisational and technical changes. At the same time significant development of basic knowledge on geology of methane in coal-bearing strata have occurred. Both these facts make the emission factors evaluated earlier inaccurate. A wide range of research indispensable for accurate evaluation of new emission factors is described in the paper. It is also recommended in the paper that by the time the research results are known, the improved emission factors. which take into account organisational changes of mining industry should be used. Methane emission from coal mining system in 1999 evaluated using those emission factors equals 527,889 Gg.
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Authors and Affiliations

Lidia Gawlik
ORCID: ORCID
Ireneusz Grzybek
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Abstract

An adsorber in which sorption processes occur is one of the key components of an adsorption chiller. Precise real-time monitoring of and supervision over these processes are particularly important to ensure their proper execution. The article describes the experimental stand used for the measurement of the adsorber’s operating parameters and analyses pressure measurement uncertainties, taking into account the impact of the temperature on the test system filled with the adsorbent in the form of silica gel, while concurrently considering the influence of other factors (e.g. the environment, the A/A, and A/D conversion, or data processing) on measurement uncertainties. A complex analysis of uncertainties was carried out, including the results of the statistical analysis of the measurement data obtained from long-term experimental tests of the object and the uncertainties of the pressure measuring chain by the type B method, involving the consideration of interactions between the system components and the temperature impact on the propagation of uncertainties. As part of the analysis, the characteristic stages of the data collection and processing operations related to the sampling rate and measurement intervals were separated. The article presents the prototype test stand and original pressure measurement system for the verification of a single-bed adsorber working below10 hPa.The novel construction of a single-bed adsorberwas used as a test object. Furthermore, in this paper, the developed algorithm of the research method implemented in the system was discussed and positively verified.
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Authors and Affiliations

Mirosław Cezary Neska
1
Tadeusz Andrzej Opara
2

  1. Łukasiewicz Research Network – Institute for Sustainable Technologies, K. Pułaskiego 6/10, 26-600 Radom, Poland
  2. Kazimierz Pulaski University of Technology and Humanities, Stasieckiego 54, 26-600 Radom, Poland
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Abstract

The paper presents an evaluation with the Type A and B methods for standard uncertainties of coefficients of a polynomial function of order k determined by n points obtained by measurement of input and output quantities. A method for deriving a posteriori distributions of function coefficients based on the transformation of estimator distributions without assuming any a priori distributions is presented. It was emphasized that since the correct values of the standard uncertainty of type A depend on the √ n-k-3 and not on the p √ n-k-1, therefore, with a small number of measurement points, the use of the classical approach leads to a significant underestimation of uncertainty. The relationships for direct evaluation with the type B method of uncertainties caused by uncorrected systematic additive (offset error) and multiplicative (gain error) effects in the measurements of both input and output quantities are derived. These standard uncertainties are determined on the basis of the manufacturers’ declared values of the maximum permissible errors of the measuring instruments used. A Monte Carlo experiment was carried out to verify the uncertainties of the coefficients and quadratic function, the results of which fully confirmed the results obtained analytically.
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Authors and Affiliations

Mykhaylo Dorozhovets
1 2

  1. Rzeszow University of Technology, Faculty of Electrical and Computer Engineering, Department of Metrology andDiagnostic Systems, Wincentego Pola, 2A, 35-959 Rzeszow, Poland
  2. Lviv Polytechnic National University, Institute of Computer Technologies, Automation and Metrology, Department ofInformation Measuring Technology, Bandera str., 12, 79013 Lviv, Ukraine
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Abstract

Civil engineering is one of the many fields of occurrences of uncertain parameters. The present paper in an attempt to present and describe the most common methods used for inclusions of uncertain parameters . These methods can be applied in the area of civil engineering as well as for a larger domain. Definitions and short explanations of methods based on probability, interval analysis, fuzzy sets, and convex sets are presented. Selected advantages, disadvantages, and the most common fields of implementation are indicated.

An example of a cantilever beam presented in this paper shows the main differences between the methods. Results of the performed analysis indicate that the use of convex sets allows us to obtain an accuracy of results similar to stochastic models. At the same time, the computational speed characteristic for interval methods is maintained.

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Authors and Affiliations

J. Pełczyński
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Abstract

The uncertainty, threats and risks are unavoidable aspects of human existence. The response to them is trust, the expectation of beneficial, future actions of others (individuals, institutions, organizations). Risk and trust take unique forms during pandemic. Risk is global, universal, hard to assess and attached to common, everyday actions. Trust, the bridge over the abyss of uncertainty, is directed toward three addressees: the government, medicine (medical science, services and products), and the other members of society. For each category the expectations are different. These theoretical considerations are applied and illustrated by the brief history of the pandemic in Poland.
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Authors and Affiliations

Piotr Sztompka
1

  1. Uniwersytet Jagielloński
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Abstract

The paper presents a detailed theoretical background for coordinate measurement uncertainty evaluation by means of Type B evaluation method, taking into account information on accuracy of a coordinate measuring system given with the formula for maximum permissible errors of length measurement and verification test results. A proposal for evaluation of the verification test results is made. A measurement model based on the point-plane distance equation is presented. A detailed analysis of the partial derivatives (sensitivity factors in an uncertainty budget) of the measurement model is presented. The analyses of measurement uncertainty for different geometrical characteristicswere conducted using this measurement model. Examples of uncertainty evaluation for geometrical deviations are presented: position of a point related to a datum plane and flatness in the case of convex or concave surfaces. The examples include detailed uncertainty budgets.

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Authors and Affiliations

Wojciech Płowucha
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Abstract

The paper presents an attempt to assess how random errors and systematic errors in gravity data affect the quality of the geoid model when it is computed using the FFf technique. Three groups of numerical tests were conducted with the use of gravity anomalies for Poland on 2' x 2' and 5' x 5' grid and with simulating random and systematic errors. In the first test, the effect of random errors on calculated geoid undulations was investigated, in the second one - the effect of systematic errors, and in the last one - the combined effect of both random and systematic errors. The effect of density of data set on the propagated error in geoid height was also examined. The results of numerical tests made possible to evaluate the effect of random errors as well as systematic errors on the accuracy of computed geoid undulation. They were also useful in evaluating the quality of the gravimetric quasigeoid model for Poland.
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Authors and Affiliations

Robert Duchnowski
ORCID: ORCID
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Abstract

The article presents methodology for testing the electric strength of vacuum chambers designed for modern medium voltage switchgear developed by the authors, using two innovative test stands designed and constructed by the research team above. Verification of the correctness of operation of the test stands, as well as the validity of the developed methodology was carried out by performing a series of tests. It was determined that below certain pressure values in the tested chamber (from about 5.0×10 0 Pa for station 1 and for about 4.0×10 -1 Pa for station 2), the electric strength maintains a constant value, which guarantees stable operation of the vacuum chamber. The values of the total measurement uncertainty for the electric strength tests were also estimated.

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Authors and Affiliations

Paweł Węgierek
ORCID: ORCID
Michał Lech
ORCID: ORCID
Czesław Kozak
Justyna Pastuszak
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Abstract

The Lithuanian national standard of electric resistance is maintained as the basis for calibration and measurement capabilities published in the key comparison database of the International Bureau of Weights and Measures (BIPM). The stability and uncertainty of the resistance value measurements, performed since 2004 using the calibrated values of the standard resistors to predict their future behaviour as well as influence of environmental conditions, are discussed. Also discussed is the recovery of a standard resistor which had undergone a mechanical disturbance. It is concluded that the standard resistors operated by the Lithuanian National Electrical Standards Laboratory feature stable drift of resistance, which is well predicted by means of linear regression.

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Authors and Affiliations

Andrius Bartašiunas
Rimantas Miškinis
Dmitrij Smirnov
Emilis Urba
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Abstract

This work proposes a systematic assessment of stereophotogrammetry and noise-floor tests to characterize and quantify the uncertainty and accuracy of a vision-based tracking system. Two stereophotogrammetry sets with different configurations, i.e., some images are designed and their sensitivity is quantified based on several assessments. The first assessment evaluates the image coordinates, stereo angle and reconstruction errors resulting from the stereophotogrammetry procedure, and the second assessment expresses the uncertainty from the variance and bias errors measured from the noise-floor test. These two assessments quantify the uncertainty, while the accuracy of the vision-based tracking system is assessed from three quasi-static tests on a small-scaled specimen. The difference in each stereophotogrammetry set and configuration, as indicated by the stereophotogrammetry and noise-floor assessment, leads to a significant result hat the first stereophotogrammetry set measures the RMSE of 3.6 mm while the second set identifies only 1.6 mm of RMSE. The results of this work recommend a careful and systematic assessment of stereophotogrammetry and noise-floor test results to quantify the uncertainty before the real test to achieve a high displacement accuracy of the vision-based tracking system.
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Authors and Affiliations

Luna Ngeljaratan
1
Mohamed A. Moustafa
1

  1. University of Nevada, Department of Civil & Environmental Engineering, Reno, NV 89557, USA
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Abstract

The paper presents research on the capability of the residual magnetic field (RMF) measurement system to be applied to the railway inspection for the early non-destructive detection of defects. The metal magnetic memory (MMM) phenomena are analysed using normal component Hy of self-magnetic flux leakage (SMFL), and its tangential component Hx, as well as their respective gradients. The measurement apparatus is described together with possible factors that may affect the results of measurement. The Type A uncertainty estimation and repeatability tests were performed. The results demonstrate that the system may be successfully applied to detection of head check flaws.

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Authors and Affiliations

Mirosław Rucki
ORCID: ORCID
Anna Gockiewicz
Tadeusz Szumiata
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Abstract

Reliable measurement uncertainty is a crucial part of the conformance/nonconformance decision-making process in the field of Quality Control in Manufacturing. The conventional GUM-method cannot be applied to CMM measurements primarily because of lack of an analytical relationship between the input quantities and the measurement. This paper presents calibration uncertainty analysis in commercial CMM-based Coordinate Metrology. For the case study, the hole-plate calibrated by the PTB is used as a workpiece. The paper focuses on thermo-mechanical errors which immediately affect the dimensional accuracy of manufactured parts of high-precision manufacturers. Our findings have highlighted some practical issues related to the importance of maintaining thermal equilibrium before the measurement. The authors have concluded that the thermal influence as an uncertainty contributor of CMM measurement result dominates the overall budgets for this example. The improved calibration uncertainty assessment technique considering thermal influence is described in detail for the use of a wide range of CMM users.
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Bibliography

[1] International Organization for Standardization (2009). Geometrical product specifications (GPS) – Acceptance and reverification tests for coordinate measuring machines (CMM) – Part 2: CMMs used for measuring linear dimensions (ISO Standard No. 10360-2:2009). https://www.iso.org/standard/40954.html
[2] International Organization for Standardization (2017). Geometrical product specifications (GPS) – Inspection by measurement of workpieces and measuring equipment – Part 1: Decision rules for proving conformance or non-conformance with specifications (ISO Standard No. 14253-1:2017). https://www.iso.org/standard/70137.html
[3] Mussatayev, M., Huang, M.,&Tang, Zh., (2020). Current issues in uncertainty of dimensional tolerance metrology and the future development in the domain of tolerancing. IOP Conference Series: Materials Science and Engineering, 715(1). https://doi.org/10.1088/1757-899X/715/1/012084
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[5] David, F., & Hannaford, J. (2012). Good Practice Guide No. 80. National Physical Laboratory.
[6] International Organization for Standardization (2013). Geometrical product specifications (GPS) – Coordinate measuring machines (CMM): Technique for determining the uncertainty of measurement – Part 1: Overview and metrological characteristics (ISO Standard No. ISO/TS 15530-1). https://www.iso.org/standard/38693.html
[7] Płowucha, W. (2019). Point-straight line distance as model for uncertainty evaluation of coordinate measurement. Measurement, 135, 83–95. https://doi.org/10.1016/j.measurement.2018.11.008
[8] Mussatayev, M., Huang, M., & Beshleyev, S. (2020). Thermal influences as an uncertainty contributor of the coordinate measuring machine (CMM). The International Journal of Advanced Manufacturing Technology, 111, pp. 537–547. https://doi.org/10.1007/s00170-020-06012-3
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[11] International Organization for Standardization (2011). Geometrical product specifications (GPS) – Coordinate measuring machines (CMM): Technique for determining the uncertainty of measurement – Part 3: Use of calibrated workpieces or measurement standards (ISO Standard No. 15530-3). https://www.iso.org/standard/53627.html
[12] International Organization for Standardization (2004). Geometrical Product Specifications (GPS) – Coordinate measuring machines (CMM): Technique for determining the uncertainty of measurement – Part 3: Use of calibrated workpieces or standards (ISO Standard No. ISO/TS 15530-3). https://www.iso.org/standard/38695.html
[13] European Cooperation for Accreditation of Laboratories. (1995). Coordinate Measuring Machine Calibration [Publication Reference, EAL-G17].
[14] International Organization for Standardization. (2006). Geometrical product specifications (GPS) – Guidelines for the evaluation of coordinate measuring machine (CMM) test uncertainty (ISO Standard No. ISO/TS 23165). https://www.iso.org/standard/24236.html
[15] Fang, C. Y., Sung, C. K., & Lui, K. W. (2005). Measurement uncertainty analysis of CMM with ISO GUM. ASPE Proceedings, United States, 1758–1761.
[16] Płowucha, W. (2020). Point plane distances model for uncertainty evaluation of coordinate measurement. Metrology and Measurement Systems, 27(4), 625–639. https://doi.org/10.24425/mms.2020.134843
[17] Ruffa, S., Panciani, G. D., Ricci, F., & Vicario, G. (2013). Assessing measurement uncertainty in CMM measurements: comparison of different approaches. International Journal of Metrology and Quality Engineering, 4(3), 163–168. https://doi.org/10.1051/ijmqe/2013057
[18] Cheng Y. B., Chen X. H., & Li Y. R. (2020). Uncertainty Analysis and Evaluation of Form Measurement Task for CMM. Acta Metrologica Sinica, 41(2), 134–138. https://doi.org/10.3969/j.issn.1000-1158.2020.02.02 (in Chinese).
[19] Rost, K., Wendt, K., & Härtig, F. (2016). Evaluating a task-specific measurement uncertainty for gear measuring instruments via Monte Carlo simulation. Precision Engineering, 44, 220–230. https://doi.org/10.1016/j.precisioneng.2016.01.001
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[22] Haitjema, H. (2019). Calibration of displacement laser interferometer systems for industrial metrology. Sensors, 19(19), 4100. https://doi.org/10.3390/s19194100
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[34] Doytchinov, I., (2017). Alignment measurements uncertainties for large assemblies using probabilistic analysis techniques. [Doctoral dissertation, Cranfield University]. CERN Document Server. https://cds.cern.ch/record/2299206
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Authors and Affiliations

Meirbek Mussatayev
1
Meifa Huang
1
Marat Nurtas
2
Azamat Arynov
3

  1. Guilin University of Electronic Technology, School of Mechanical & Electrical Engineering, 1 Jinji Rd, Guilin, Guangxi, 541004, China
  2. International Information Technology University, Department of Mathematical and Computer Modelling, Kazakhstan
  3. School of Engineering at Warwick University, United Kingdom
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Abstract

Noise is a fundamental metrological characteristic of the instrument in surface topography measurement. Therefore, measurement noise should be thoroughly studied in practical measurement to understand instrument performance and optimize measurement strategy. This paper investigates the measurement noise at different measurement settings using structured illumination microscopy. The investigation shows that the measurement noise may scatter significantly among different measurement settings. Eliminating sample tilt, selecting low vertical scanning interval and high exposure time is helpful to reduce the measurement noise. In order to estimate the influence of noise on the measurement, an approach based on metrological characteristics is proposed. The paper provides a practical guide to understanding measurement noise in a wide range of applications.
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Bibliography

[1] International Organization for Standardization. (2019). Geometrical product specifications (GPS) – Surface texture: Areal – Part 600: Metrological characteristics for areal topography measuring methods (ISO 25178-600:2019). https://www.iso.org/standard/67651.html
[2] de Groot, P., & DiSciacca, J. (2020). Definition and evaluation of topography measurement noise in optical instruments. Optical Engineering, 59(6), 064110. https://doi.org/10.1117/1.OE.59.6.064110
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[4] Vanrusselt, M., Haitjema, H., Leach, R., & de Groot, P. (2021). International comparison of noise in areal surface topography measurements. Surface Topography: Metrology and Properties, 9(2), 025015. https://doi.org/10.1088/2051-672X/abfa29
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Authors and Affiliations

Zhen Li
1
ORCID: ORCID
Sophie Gröger
1

  1. Chemnitz University of Technology, Department of Production Measuring Technology, Reichenhainer Straße 70, 09126 Chemnitz, Germany
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Abstract

The sequential multilateration principle is often adopted in geometric error measurement of CNC machine tools. To identify the geometric errors, a single laser tracker is placed at different positions to measure the length between the target point and the laser tracker. However, the measurement of each laser tracker position is not simultaneous and measurement accuracy is mainly subject to positioning repeatability of the machine tool. This paper attempts to evaluate the measurement uncertainty of geometric errors caused by the positioning repeatability of the machine tool and the laser tracker spatial length measurement error based on the Monte Carlo method. Firstly, a direct identification method for geometric errors of CNC machine tools based on geometric error evaluation constraints is introduced, combined with the geometric error model of a three-axis machine tool. Moreover, uncertainty contributors caused by the repeatability of positioning of numerically controlled axes of the machine tool and the laser length measurement error are analyzed. The measurement uncertainty of the geometric error and the volumetric positioning error is evaluated with the Monte Carlo method. Finally, geometric error measurement and verification experiments are conducted. The results show that the maximum volumetric positioning error of the machine tool is 84.1 μm and the expanded uncertainty is 5.8 μm (�� = 2). The correctness of the geometric error measurement and uncertainty evaluation method proposed in this paper is verified compared with the direct geometric error measurement methods.
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Authors and Affiliations

Xingbao Liu
1
Yangqiu Xia
1
Xiaoting Rui
1

  1. Institute of Launch Dynamics, Nanjing University of Science and Technology, Nanjing 210094, China
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Abstract

The paper presents a novel heuristic procedure (further called the AH Method) to investigate function shape in the direct vicinity of the found optimum solution. The survey is conducted using only the space sampling collected during the optimization process with an evolutionary algorithm. For this purpose the finite model of point-set is considered. The statistical analysis of the sampling quality based upon the coverage of the points in question over the entire attraction region is exploited. The tolerance boundaries of the parameters are determined for the user-specified increase of the objective function value above the found minimum. The presented test-case data prove that the proposed approach is comparable to other optimum neighborhood examination algorithms. Also, the AH Method requires noticeably shorter computational time than its counterparts. This is achieved by a repeated, second use of points from optimization without additional objective function calls, as well as significant repository size reduction during preprocessing.
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Authors and Affiliations

Daniel Andrzej Piętak
1
Piotr Bilski
1
ORCID: ORCID
Paweł Jan Napiórkowski
2

  1. Institute of Radioelectronics and Multimedia Technology, Warsaw University of Technology, Poland
  2. Heavy Ion Laboratory, University of Warsaw, Poland
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Abstract

The possibility and expediency of estimation of risk factors based on fundamental positions of information and entropy are grounded. In accordance with the principle of addiction, the possibility of using the H-criterion as an indicator of business uncertainty is shown. The algorithm of risk estimation of these investments is offered.
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Authors and Affiliations

Nataliia B. Savina
1
Nina V. Slyusarenko
2
Maryna S. Yakobchuk
1
Konrad Gromaszek
3
Saule Smailova
4
Kuanysh Muslimov
5

  1. National University of Water and Environmental Engineering, Rivne, Ukraine
  2. Kherson State University, Ukraine
  3. Lublin University of Technology, Lublin, Poland
  4. East Kazakhstan State Technical University named after D.Serikbayev, Ust-Kamenogorsk, Kazakhstan
  5. Kazakh National Research Technical University named after K.I.Satpayev, Almaty, Kazakhstan
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Abstract

This paper proposes the usage of the fuzzy rule-based Bayesian algorithm to determine which residential appliances can be considered for the Demand Response program. In contrast with other related studies, this research recognizes both randomness and fuzziness in appliance usage. Moreover, the input data for usage prediction consists of nodal price values (which represent the actual power system conditions), appliance operation time, and time of day. The case study of residential power consumer behavior modeling was implemented to show the functionality of the proposed methodology. The results of applying the suggested algorithm are presented as colored 3D control surfaces. In addition, the performance of the model was verified using R squared coefficient and root mean square error. The conducted studies show that the proposed approach can be used to predict when the selected appliances can be used under specific circumstances. Research of this type may be useful for evaluation of the demand response programs and support residential load forecasting.
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Authors and Affiliations

Piotr Kapler
1
ORCID: ORCID

  1. Warsaw University of Technology, Faculty of Electrical Engineering, Electrical Power Engineering Institute, Koszykowa 75, 00-662 Warsaw, Poland

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