Ebook: Advanced Mathematical and Computational Tools in Metrology and Testing: Amctm VIII

Computational complexity, originated from the interactions between computer science and numerical optimization, is one of the major theories that have revolutionized the approach to solving optimization problems and to analyzing their intrinsic difficulty. This volume is a collection of articles on recent complexity developments in numerical optimization. The topics covered include complexity of approximation algorithms, new polynomial time algorithms for convex quadratic minimization, interior point algorithms, complexity issues regarding test generation of NP-hard problems, complexity of scheduling problems, min-max, fractional combinatorial optimization, fixed point computations, and network flow problems. This volume should be a valuable source of information to faculty, students and researchers in numerical optimization and related areas The main theme of the AMCTM 2008 conference, reinforced by the establishment of IMEKO TC21, was to provide a central opportunity for the metrology and testing community worldwide to engage with applied mathematicians, statisticians and software engineers working in the relevant fields. This review volume consists of reviewed papers prepared on the basis of the oral and poster presentations of the Conference participants. It covers all the general matters of advanced statistical modeling (e.g. uncertainty evaluation, experimental design, optimization, data analysis and applications, multiple measurands, correlation, etc.), metrology software (e.g. engineering aspects, requirements or specification, risk assessment, software development, software examination, software tools for data analysis, visualization, experiment control, best practice, standards, etc.), numerical methods (e.g. numerical data analysis, numerical simulations, inverse problems, uncertainty evaluation of numerical algorithms, applications, etc.), data fusion techniques and design and analysis of inter-laboratory comparisons.  Read more... Sensitivity analysis in metrology: study and comparison on different indices for measurement uncertainty / A. Allard and N. Fischer -- Likelihood maximization against the probability density function shape / S. Aranda, J-M Linares and J-M Sprauel -- Methods for estimation of the effect of correlation at the measurement of alternating voltage / T. Barashkova -- Multi-determination of aerodynamic loads using calibration curve with a polynomial and MLP neural network combination / I.M. Barbosa ... [et al.] -- Uncertainty analysis in calibration of standard volume measures / E. Batista, N. Almeida and E. Filipe -- Virtual atomic force microscope as a tool for nanometrology / V.S. Bormashov ... [et al.] -- Development of a mathematical procedure for modelling and inspecting complex surfaces for measurement process / S. Boukebbab, H. Bouchenitfa and J-M Linares -- A software simulation tool to evaluate the uncertainties for a lock-in amplifier / P. Clarkson ... [et al.] -- Measurement uncertainty in a non-classical context / G.E. D'Errico -- Comparison of methods to measure uncertainty based on the ISO standards / L. Del Dossi and D. Zappa -- Methods for aggregating key comparisons / R.J. Douglas and A.G. Steele -- Uncertainty rvaluation for pose estimation by multiple camera measurement system / M. Douilly ... [et al.] -- Analysis of dynamic measurements: compensation of dynamic error and evaluation of uncertainty / C. Elster and A. Link -- An approach to uncertainty using nested analysis / M. Do CeМЃu Ferreira, A. Furtado and E. Filipe -- Proficiency testing for calibration laboratories / E. Filipe -- Nonlinear least squares and Bayesian inference / A.B. Forbes -- Measurement strategy analysis for out-of-roundness measurement with CMM / B. Gapinski, M. Rucki and M. Pawlowski -- Dedicated software package for pressure regulation at 1 ppm level using a gas-controlled heat pipe / S. Giunta ... [et al.] -- Model adequacy in measurements: estimation and improvement / V.A. Granovsky and T.N. Siraya -- A new guide for the development and assessment of measurement software / N. Greif and G. Parkin -- Current issues in the evaluation of ionising radiation measurements / D. Grientschnig -- Modelling and uncertainty estimates for numerically reconstructed profiles in scatterometry / H. Gross, A. Rathsfeld and M. BaМ€r -- Kalman filter type sequential method with stopping rule for calibration of measurement instruments / C. Hajiyev -- Determination of optimum input signals via D-optimality criterion for calibration of measurement instruments / C. Hajiyev -- An extension of the GUM tree method for complex numbers / B.D. Hall -- Digital filtering for dynamic uncertainty / J.P. Hessling -- Considerations and developments in uncertainty evaluations in chemical metrology / R. Kaarls -- Quality by design applications to analytical methods in the pharmaceutical industry / R.S. Kenett and D.A. Kenett -- A test of linearity using covering arrays for evaluating uncertainty in measurement / R. Kessel and R. Kacker -- Challenges in practical dynamic calibration / M. Kobusch, T. Bruns and E. Franke -- Derivation of an output PDF from Bayes' theorem and the principle of maximum entropy / I. Lira ... [et al.] -- Evaluation of uncertainties on Datum-system reference / J. Mailhe, J-M Linares and J-M Sprauel -- Possibility distribution: a useful tool for representing coverage intervals with and without the probability density knowledge / G.P. Mauris -- Implementation of some mathematical approximation methods of functions for study of the factors which influence the ferment activity of beer yeast / M.R. Milici, R. Rotar and L.D. Milici -- Measurement uncertainty calculation using MUSE: a software project to support the measurement community with a freely available implementation of GUM supplement 1 / M. MuМ€ller, M. Wolf and M. RoМ€sslein -- Robust line detection for line scale calibration / J.A. MunМѓoz-GoМЃmez and C. Galvan -- Analysis of consistency of the basic concepts for the expression of uncertainty in present international written standards and guides / F. Pavese -- An optimised uncertainty approach to guard-banding in global conformity assessment / L.R. Pendrill -- From GUM to alternative methods for measurement uncertainty evaluation / M. Priel -- The propagation of uncertainty related to the calibration functions of platinum resistance thermometers and possible correlation effects / A.S. Ribeiro ... [et al.] -- Measurement of characteristics related to human perception / G.B. Rossi -- Lossless compression of computer tomography point clouds / R. Schmitt and P. Fritz -- Declaration and specification of a geometrical part in the language of geometric algebra / P. SerreМЃ, M. Moinet and A. CleМЃment -- Modelling of dynamic measurement systems and uncertainty analysis employing discretised state-space forms / K-D Sommer ... [et al.] -- Optimal decision rules and limits of detection / J.A. Sousa and A.B. Forbes -- Validity of expanded uncertainties evaluated using the Monte Carlo method / H. Tanaka and K. Ehara -- Model based uncertainty analysis in inter-laboratory studies / B. Toman and A. Possolo -- Gear metrology of statistical tolerancing by numerical simulation / J-P Vincent ... [et al.] -- Transferring Monte Carlo distributions in the evaluation of uncertainty / R. Willink -- Mathematical entropy and a criticism of a usage of the principle of maximum entropy / R. Willink -- Multivariate and functional clustering applied to measurements of laboratory analysis systems / I. Winzenborg, A. Geistanger and U. StadtmlМ€ler -- Impact of correlation in the measured frequency response on the results of a dynamic calibration / G. WuМ€bbeler ... [et al.] -- Uncertainty of standard concentrations, calibration line and predictions / C. Yardin and S. Kaba -- The concept of "virtual microscope" for nanometrology / A.V. Zablotskiy, A.S. Baturin and V.S. Bormashov -- Orthogonal distance fitting of precision free-form surfaces based on l[symbol] norm / X.C. Zhang, X.Q. Jiang and P.J. Scott -- Allan variance and the uncertainty of autocorrelated measurements / N-F Zhang