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Load distributions of some classic DHTs

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Journal of Systems Engineering and Electronics 2009年第2期20卷 400-404页

作者： Nie Xiaowen Lu Xianliang Zhou Xu Tang Hui Li Lin School of Computer Science & Engineering Univ. of Electronic Science and Technology Of ChinaChengdu 610054 P. R. China Inst. of Acoustics Chinese Academy of Sciences Beijing 100080 P. R. China

The load balance is a critical issue of distributed Hash table （DHT）, and the previous work shows that there exists O（logn） imbalance of load in Chord. The load distribution of Chord, Pastry, and the virtual servers （VS） balancing scheme and deduces the closed form expressions of the probability density function （PDF） and cumulative distribution function （CDF） of the load in these DHTs is analyzes. The analysis and simulation show that the load of all these DHTs obeys the gamma distribution with similar formed parameters.

关键词： distributed Hash table load balance probability density function cumulative distribution function

Quadratic Radical function Better Than Fisher z Transformation

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Transactions of Tianjin University 2013年第5期19卷 381-384页

作者：杨正瓴段志峰王晶晶王腾宋延文张军 School of Electrical Engineering and Automation Tianjin University Tianjin Key Laboratory of Process Measurement and Control

A new explicit quadratic radical function is found by numerical experiments,which is simpler and has only 70.778%of the maximal distance error compared with the Fisher z ***,a piecewise function is constructed for the standard normal distribution:if the independent variable falls in the interval(-1.519,1.519),the proposed function is employed;otherwise,the Fisher z transformation is *** with the Fisher z transformation,this piecewise function has only 38.206%of the total *** new function is more exact to estimate the confidence intervals of Pearson product moment correlation coefficient and Dickinson best weights for the linear combination of forecasts.

关键词： normal distribution cumulative distribution function error function confidence interval correlation coefficient combination of forecasts

Cogging Torque Sensitivity considering Imperfect Magnet Positioning for Permanent Magnet Machines of Different Slot and Pole Count

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CES Transactions on Electrical Machines and Systems 2020年第3期4卷 243-251页

作者： Gerd Bramerdorfer Edmund Marth Gereon Goldbeck Department of Electrical Drives and Power Electronics Johannes Kepler University LinzAustria

This work is about analyzing surface mounted permanent magnet machines regarding their sensitiveness related to erroneous magnet positioning.A finite element analysis based approach is presented and different topologies in terms of slot and pole count are *** study further includes the analysis of multiple magnet widths and stator teeth *** contrast to most of previous studies,the work is based on evaluating the cumulative distribution function of the cogging torque in case of non-idealities.A Monte Carlo importance sampling based strategy is *** approach facilitates studying arbitrary tolerance *** reveal that topologies with particularly promising rated cogging torque behaviour exhibit the most significant performance degradation in presence of tolerances.A linear relationship is identified for cogging torque performance as function of the accuracy in magnet *** emphasize the necessity of tolerance analyses for electric machine design to not overrate their performance in the presence of manufacturing uncertainties.

关键词： cumulative distribution function electric machine Monte Carlo PMSM quantile sensitivity tolerance analysis

The New Mixed Generalized Erlang distribution

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Applied Mathematics 2023年第8期14卷 497-511页

作者： Therrar Kadri Yara Ghannam Department of Mathematics Lebanese International University Beirut Lebanon

In probability theory, the mixture distribution M has a density function for the collection of random variables and weighted by wi ≥ 0 and . These mixed distributions are used in various disciplines and aim to enrich the collection distribution to more parameters. A more general mixture is derived by Kadri and Halat, by proving the existence of such mixture by wi ∈ R, and maintaining . Kadri and Halat provided many examples and applications for such new mixed distributions. In this paper, we introduce a new mixed distribution of the Generalized Erlang distribution, which is derived from the Hypoexponential distribution. We characterize this new distribution by deriving simply closed expressions for the related functions of the probability density function, cumulative distribution function, moment generating function, reliability function, hazard function, and moments.

关键词： Generalized Erlang distribution Mixed distribution Probability Density function cumulative distribution function Moment Generating function Hazard Rate function Reliability function Moment of Order k