• Title/Summary/Keyword: Poisson process.

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A General Coverage-Based NHPP SRGM Framework

  • Park, Joong-Yang;Lee, Gye-Min;Park, Jae-Heung
    • Communications for Statistical Applications and Methods
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    • v.15 no.6
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    • pp.875-881
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    • 2008
  • This paper first discusses the existing non-homogeneous Poisson process(NHPP) software reliability growth model(SRGM) frameworks with respect to capability of representing software reliability growth phenomenon. As an enhancement of representational capability a new general coverage-based NHPP SRGM framework is developed. Issues associated with application of the new framework are then considered.

Power consumption evaluation of Set-top box mode transition scheme considering passive stand-by mode (수동대기모드를 고려한 셋톱박스 모드전환 기술의 에너지 절감 성능 분석)

  • Kim, Yong-Ho;Kim, Hoon
    • Journal of The Institute of Information and Telecommunication Facilities Engineering
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    • v.10 no.4
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    • pp.135-142
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    • 2011
  • This paper proposes a performance evaluation method for power consumption of set-top box (STB) stand-by mode transition schemes. A stand-by mode transition scheme characterizes the timing of mode transition. The timing of mode transition affects the duration of stand-by mode operation, and the power consumptions of STB as well. Recently a fast stand-by mode transition scheme (FMT) has been proposed based on user input for selecting the device to be connected to TV. In this paper, we evaluate power consumption of FMT and a conventional mode transition scheme. For the computation of the duration of stand-by mode operation, the user input events are modeled as Poisson process. Simulation results based on the modeling reveals that the proposed scheme is more effective in power saving than the conventional scheme by up to 30%.

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Comments on : An Expected Loss Model for FMEA under Periodic Monitoring of Failure Causes (FMEA에서 주기적인 고장원인 감시하의 기대손실모형에 대한 소고)

  • Yun, Won Young;Kwon, Hyuck-Moo
    • Journal of Korean Institute of Industrial Engineers
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    • v.40 no.3
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    • pp.321-324
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    • 2014
  • Kwon et al. (2013) studied the optimal monitoring interval of systems with finite life cycle. It is assumed that there are several failure modes from several failure causes and the occurrence of causes follows a homogeneous Poisson process. The total expected cost is used as an optimization criterion. In this article, we derive newly the total expected cost under the same assumptions and consider some extended models.

Analysis of Food Poisoning via Zero Inflation Models

  • Jung, Hwan-Sik;Kim, Byung-Jip;Cho, Sin-Sup;Yeo, In-Kwon
    • The Korean Journal of Applied Statistics
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    • v.25 no.5
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    • pp.859-864
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    • 2012
  • Poisson regression and negative binomial regression are usually used to analyze counting data; however, these models are unsuitable for fit zero-inflated data that contain unexpected zero-valued observations. In this paper, we review the zero-inflated regression in which Bernoulli process and the counting process are hierarchically mixed. It is known that zero-inflated regression can efficiently model the over-dispersion problem. Vuong statistic is employed to compare performances of the zero-inflated models with other standard models.

Novel Approach to Analytical Jitter Modeling

  • Huremovic, Adnan;Hadzialic, Mesud
    • Journal of Communications and Networks
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    • v.17 no.5
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    • pp.534-540
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    • 2015
  • In this paper we propose an analytical model for jitter, wherein we implement the interrupted Poisson process (IPP) for incoming traffic. First, we obtain an analytical model for the jitter on one node with respect to the phase probabilities, traffic load, and tagged traffic share in the aggregate traffic flow. Then, we analyze N-node cases, and propose a model for end-to-end jitter. Our analysis leads to some fast-to-compute approximations that can be used for future network design or admission control. Finally, we validate our analytical results by comparing them with previous results for limit cases, as well as with event-driven simulations. We propose the use of our results as guidelines for jitter evaluation of real IP traffic.

Statistical Analysis of Fluorescence Correlation Spectroscopy of Ultra Low Concentration Molecules with a Confocal Microscope

  • Lee, Soon-Hyouk;Lim, Gyu-Chang;Kim, Soo-Yong;Kim, Eun-Kyung;Kim, Hak-Sung;Kim, Sok-Won
    • Journal of the Optical Society of Korea
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    • v.12 no.3
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    • pp.170-173
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    • 2008
  • In this study, we simulated a statistical model of FCS(fluorescence correlation spectroscopy) based on a Poisson process to understand and explain observations of the experiment performed on molecules of ultra-low concentration by the home-built laser-scanning confocal microscope. The statistical model confirmed that the relative mean square amplitude of fluctuations is shown to be inversely proportional to the average number of molecules, even in the ultra-low concentration, if some conditions are satisfied. Signal-to-noise ratio and the variability of dwelling time under the confocal volume were found to be effective conditions for the experiment.

A Study on Optimal Release Time for Software Systems based on Mixture Weibull NHPP Model (혼합 와이블 NHPP 모형에 근거한 소프트웨어 최적방출시기에 관한 연구)

  • Lee, Sang Sik;Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.6 no.2
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    • pp.183-191
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    • 2010
  • Decision problem called an optimal release policies, after testing a software system in development phase and transfer it to the user, is studied. The applied model of release time exploited infinite non-homogeneous Poisson process. This infinite non-homogeneous Poisson process is a model which reflects the possibility of introducing new faults when correcting or modifying the software. The failure life-cycle distribution used mixture which has various intensity, if the system is complicated. Thus, software release policies which minimize a total average software cost of development and maintenance under the constraint of satisfying a software reliability requirement becomes an optimal release policies. In a numerical example, after trend test applied and estimated the parameters using maximum likelihood estimation of inter-failure time data, estimated software optimal release time.

The Algorithm for Calculating the Base-Collector Breakdown Voltage of NPN BJT Using the Solution of the Poisson′s Equation (포아송 방정식의 해를 이용한 NPN BJT의 베이스- 컬렉터간 역방향 항복전압 추출 알고리즘)

  • 이은구;김태한;김철성
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.40 no.6
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    • pp.384-392
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    • 2003
  • The algorithm for calculating the base-collector breakdown voltage of NPN BJT for integrated circuits is proposed. The method of three-dimensional mesh generation to minimize the time required for device simulation is presented and the method for calculating the breakdown voltage using solutions of the Poisson´s equation is presented. To verify the proposed method, the breakdown voltage between base and collector of NPN BJT using 20V process and 30V process is compared with the measured data. The breakdown voltage from the proposed method of NPN BJT using 20V process shows an averaged relative error of 8.0% compared with the measured data and the breakdown voltage of NPN BJT using 30V process shows an averaged relative error of 4.3% compared with the measured data.

The Comparative Study of Software Optimal Release Time Based on Intensity Function property (강도함수 특성에 근거한 소프트웨어 최적 방출시기에 관한 비교 연구)

  • Kim, Hee-Cheul;Park, Hyoung-Keun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.4
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    • pp.1239-1247
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    • 2010
  • In this paper, we were researched decision problem called an optimal release policies after testing a software system in development phase and transferring it to the user. The applied model of release time exploited infinite failure non-homogeneous Poisson process This infinite failure non-homogeneous Poisson process is a model which reflects the possibility of introducing new faults when correcting or modifying the software. The intensity function used Gompertz, Preto and Log-logstic pattern which has the efficient various property. Thus, optimal software release policies which minimize a total average software cost of development and maintenance under the constraint of satisfying a software reliability requirement becomes an optimal release policies. In a numerical example, after trend test applied and estimated the parameters using maximum likelihood estimation of inter-failure time data, estimated software optimal release time.