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2012 | 121 | 1A | A-156-A-159
Article title

Uncertainty Assessment of Index M

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Administrative decisions, related to the selection of the priority of activities minimising acoustic effects in the analysed areas, are determined by the index M values. This index is also known as the noise protection agents demand. A form of its function is determined by variables describing the number of residents and the level of exceeding the permissible noise in these inhabited regions. Uncertainty of decisions resulting from such assessments is conditioned by numerical measures: inaccurate measurements of exceeding permissible noise indicators as well as errors in the estimation of the number of residents exposed to them, formulated in probabilistic categories and interpreted in an interval way. Thus, the uncertainty assessment of index M, being the function determined by means of those variables, requires the determination of the density of probability distribution function of its occurrence. The method of its determination constitutes the contents of the presented hereby paper. The study concentrates on the derivation of the density of probability distribution function of index M, at the assumption that the distribution of variable errors is in a form of the normal cut distribution. The computational algorithm, allowing to perform necessary numerical calculations assigned to the uncertainty assessment process of index M, is presented. The obtained results are illustrated by the example.
Physical description
  • AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics Department of Mechanics and Vibroacoustics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
  • Faculty of Management, Department of Quantitative Methods in Management of Economy, Lublin University of Technology, Nadbystrzycka 38, 20-618 Lublin, Poland
  • [1] Environmental protection law, Law of 27.04.2001 (in Polish), Official Diary 2001/62/627 with amendments
  • [2] Measurement Uncertainty Analysis Principles and Methods. NASA Measurement Quality Assurance Handbook, ANNEX 3, July 2010
  • [3] Evaluation of measurement data - An introduction to the 'Guide to the expression of uncertainty in measurement' and related documents 104:2009
  • [4] Evaluation of measurement data - Guide to the expression of uncertainty in measurement (GUM), BIPM, JCGM 100:2008
  • [5] Evaluation of measurement data - Supplement 1 to the 'Guide to the expression of uncertainty in measurement' - Propagation of distributions using a Monte Carlo method (GUM), BIPM, JCGM 101:2008
  • [6] Guide to the Expression of Uncertainty Measurement. International Organization for Standardization. GUM 1995 with minor corrections. JCGM 100:2008
  • [7] W. Batko, B. Przysucha, Arch. Acoust. 35, 543 (2010)
  • [8] W. Batko, B. Przysucha, Acta Phys. Pol. A 119, 1086 (2011)
  • [9] P. Billingsley, Probability and Measure, Wiley, New York 1979, p. 221
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