• 제목/요약/키워드: 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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    • 제15권6호
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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.

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

  • 김용호;김훈
    • 정보통신설비학회논문지
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    • 제10권4호
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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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FMEA에서 주기적인 고장원인 감시하의 기대손실모형에 대한 소고 (Comments on : An Expected Loss Model for FMEA under Periodic Monitoring of Failure Causes)

  • 윤원영;권혁무
    • 대한산업공학회지
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    • 제40권3호
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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
    • 응용통계연구
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    • 제25권5호
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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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    • 제17권5호
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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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    • 제12권3호
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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.

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

  • 이상식;김희철
    • 디지털산업정보학회논문지
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    • 제6권2호
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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.

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

  • 이은구;김태한;김철성
    • 대한전자공학회논문지SD
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    • 제40권6호
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    • pp.384-392
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    • 2003
  • 집적회로용 NPN BJT의 베이스-컬렉터간 역방향 항복전압 추출 알고리즘을 제시한다. 모의실험 시간을 최소화할 수 있는 3차원 메쉬 생성 방법을 제시하고 포아송 방정식의 해를 이용하여 역방향 항복전압을 구하는 방법을 제시한다. 제시된 방법의 타당성을 검증하기 위해 20V 공정과 30V 공정을 기반으로 제작된 집적회로용 NPN BJT의 베이스-컬렉터간 역방향 항복전압을 실측치와 비교한 결과 20V 공정을 이용한 NPN BJT는 8.0%의 평균상대오차를 보였으며 30V 공정을 이용한 NPN BJT는 4.3%의 평균 상대오차를 보였다.

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

  • 김희철;박형근
    • 한국산학기술학회논문지
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    • 제11권4호
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    • pp.1239-1247
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    • 2010
  • 본 연구에서는 소프트웨어 제품을 개발하여 테스팅을 거친 후 사용자에게 인도하는 시기를 결정하는 방출문제에 대하여 연구되었다. 인도시기에 관한 모형은 무한 고장수에 의존하는 비동질적인 포아송 과정을 적용하였다. 이러한 포아송 과정은 소프트웨어의 결함을 제거하거나 수정 작업 중에도 새로운 결함이 발생될 가능성을 반영하는 모형이다. 강도함수는 여러 수명 분포들을 적합시키는데 효율적인 특성을 가진 콤페르쯔, 파레토, 로그-로지스틱 패턴을 이용하였다. 따라서 소프트웨어 요구 신뢰도를 만족시키고 소프트웨어 개발 및 유지 총비용을 최소화 시키는 방출시간이 최적 소프트웨어 방출 정책이 된다. 본 논문의 수치적인 예에서는 고장 간격 시간 자료를 적용하고 모수추정 방법은 최우추정법과 추세분석을 통하여 자료의 효율성을 입증한 후 최적 방출시기를 추정하였다.