• Title/Summary/Keyword: 포아송 과정

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A Study for NHPP Software Reliability Model of Lomax Distribution Based on Shape Parameter (Lomax 분포의 형상모수에 근거한 무한고장 NHPP 소프트웨어 신뢰성 모형에 관한 연구)

  • Kim, Hee-Cheul;Shin, Hyun Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.8 no.5
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    • pp.412-418
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    • 2015
  • NHPP software reliability models for failure analysis can have, in the literature, exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, infinite failures NHPP models that repairing software failure point in time reflects the situation, was presented for comparing property. Commonly used in business, economics, and actuarial modeling based on Lomax distribution, software reliability of infinite failures was presented for comparison problem. The result is that a relatively large shape parameter was effectively. The parameters estimation using maximum likelihood estimation was conducted and Model selection was performed using the mean square error and the coefficient of determination. In this research, software developers to identify software failure property follows shape parameter, some extent be able to help is considered.

A Study on the Reliability Attributes of the Software Reliability Model Following the Shape Parameter of Minimax Life Distribution (미니맥스 수명분포의 형상모수를 따르는 소프트웨어 신뢰모형에 관한 신뢰속성에 관한 연구)

  • Kim, Hee-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.4
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    • pp.325-330
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    • 2018
  • This paper, following the shape parameters of the minimax distribution, describes the special form of the beta distribution, the Minimax distribution, as a function of the shape parameters for the software reliability model based on the non-homogeneous Poisson process. Characteristics and usefulness were discussed. As a result, the case of the shape parameter 1 of Minimax distribution than less than and greate in mean squared error is the smallest, in determination coefficient, appears to be high, the shape parameter 1 of Minimax distribution regard as an efficient model. The estimated determination coefficient of the proposed model is estimated to be more than 95%, which is a useful model in the field of software reliability. Through this study, software design and users can identify the software failure characteristics using mean square error, decision coefficient, and confidence interval can be used as a basic guideline.

Queueing Model for Traffic Loading Improvement of DDoS Attacks in Enterprise Networks (엔터프라이즈 네트워크에서 DDoS 공격의 부하 개선을 위한 큐잉 모델)

  • Ha, Hyeon-Tae;Lee, Hae-Dong;Baek, Hyun-Chul;Kim, Sang-Bok
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.15 no.1
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    • pp.107-114
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    • 2011
  • Today the company adopts to use information management method at the network base such as internet, intranet and so on for the speed of business. Therefore the security of information asset protection and continuity of business within company in relation to this is directly connected to the credibility of the company. This paper secures continuity to the certified users using queuing model for the business interruption issue caused by DDoS attack which is faced seriously today. To do this I have reflected overloaded traffic improvement process to the queuing model through the analysis of related traffic information and packet when there occurs DDoS attack with worm/virus. And through experiment I compared and analyzed traffic loading improvement for general network equipment.

Analysis of an M/M/1 Queue with an Attached Continuous-type (s,S)-inventory ((s,S)-정책하의 연속형 내부재고를 갖는 M/M/1 대기행렬모형 분석)

  • Park, Jinsoo;Lee, Hyeon Geun;Kim, Jong Hyeon;Yun, Eun Hyeuk;Baek, Jung Woo
    • Journal of Korea Society of Industrial Information Systems
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    • v.23 no.5
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    • pp.19-32
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    • 2018
  • This study focuses on an M/M/1 queue with an attached continuous-type inventory. The customers arrive into the system according to the Poisson process, and are served in their arrival order; i.e., first-come-first-served. The service times are assumed to be independent and identically distributed exponential random variable. At a service completion epoch, the customer consumes a random amount of inventory. The inventory is controlled by the traditional (s, S)-inventory policy with a generally distributed lead time. A customer that arrives during a stock-out period assumed to be lost. For the number of customers and the inventory size, we derive a product-form stationary joint probability distribution and provide some numerical examples. Besides, an operational strategy for the inventory that minimizes the long-term cost will also be discussed.

Charge Trap Flash 메모리 소자 프로그램 동작 시 전하수송 메커니즘

  • Yu, Ju-Tae;Kim, Dong-Hun;Kim, Tae-Hwan
    • Proceedings of the Korean Vacuum Society Conference
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    • 2011.08a
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    • pp.273-273
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    • 2011
  • 현재 사용되고 있는 플로팅 게이트를 이용한 플래시 메모리 소자는 비례축소에 의해 발생하는 단 채널 효과, 펀치스루 효과 및 소자간 커플링 현상과 같은 문제로 소자의 크기를 줄이는데 한계가 있다. 이러한 문제를 해결하기 위하여 silicon nitride와 같은 절연체를 전자의 트랩층으로 사용하는 charge trap flash (CTF) 메모리 소자에 대한 연구가 활발히 진행되고 있다. CTF 메모리 소자의 전기적 특성에 대한 연구는 활발히 진행 되었지만, 수치 해석 모델을 사용하여 메모리 소자의 전하수송 메커니즘을 분석한 연구는 매우 적다. 본 연구에서는 수치 해석 모델을 적용하여 개발한 시뮬레이터를 사용하여 CTF 메모리 소자의 프로그램 동작 시 전하수송 메커니즘에 대한 연구를 하였다. 시뮬레이터에 사용된 모델은 연속방정식, 포아송 방정식과 Shockley-Read-Hall 재결합 모델을 수치해석적 방법으로 계산하였다. 또한 CTF 소자 프로그램 동작 시 트랩 층으로 주입되는 전자의 양은 Wentzel-Kramers-Brillouin 근사 법을 이용하여 계산하였다. 트랩 층에 트랩 되었던 전자의 방출 모델은 이온화 과정을 사용하였다. 게이트와 트랩 층 사이의 터널링은 Fowler-Nordheim (FN) tunneling 모델, Direct tunneling 모델, Modified FN tunneling 모델을 적용하였다. FN tunneling 만을 적용했을때 보다 세가지 모델을 적용했을 때가 더 실험치와의 오차가 적었다. 그 이유는 시뮬레이션 결과를 통해 인가된 전계에 의해 Bottom Oxide 층의 에너지 밴드 구조가 변화하여 세가지 tunneling 모델의 구역이 발생하는 것을 확인 할 수 있었다. 계산된 결과의 전류-전압 곡선을 통해 CTF 메모리 소자의 프로그램 동작 특성을 관찰하였다. 트랩 층의 전도대역과 트랩 층 내부에 분포하는 전자의 양을 시간에 따라 계산하여 트랩 밀도가 시간이 지남에 따라 일정 값에 수렴하고 많은 전하가 트랩 될 수록 전하 주입이 줄어듬을 관찰 하였다. 이와 같은 시뮬레이션 결과를 통해 CTF 메모리의 트랩층에서 전하의 이동에 대해 더 많이 이해하여 CTF 소자가 가진 문제점 해결에 도움을 줄 것이다.

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The Comparative Study of Software Optimal Release Time Based on Log-Logistic Distribution (Log-Logistic 분포 모형에 근거한 소프트웨어 최적방출시기에 관한 비교연구)

  • Kim, Hee-Cheul
    • Journal of the Korea Society of Computer and Information
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    • v.13 no.7
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    • pp.1-9
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    • 2008
  • In this paper, make a study decision problem called an optimal release policies after testing a software system in development phase and transfer it to the user. When correcting or modifying the software, because of the possibility of introducing new faults when correcting or modifying the software, infinite failure non-homogeneous Poisson process models presented and propose an optimal release policies of the life distribution applied log-logistic distribution which can capture the increasing! decreasing nature of the failure occurrence rate per fault. In this paper, discuss optimal software release policies which minimize a total average software cost of development and maintenance under the constraint of satisfying a software reliability requirement. In a numerical example, after trend test applied and estimated the parameters using maximum likelihood estimation of inter-failure time data, make out estimating software optimal release time.

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The Comparative Study of Software Optimal Release Time Based on Gamma Exponential and Non-exponential Family Distribution Model (지수 및 비지수족 분포 모형에 근거한 소프트웨어 최적방출시기에 관한 비교 연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • Journal of the Korea Society of Computer and Information
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    • v.15 no.5
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    • pp.125-132
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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 exponential and non-exponential family which has various intensity. 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 Comparison of Parameter Estimation for Nonhomogeneous Poisson Process Software Reliability Model (NHPP 소프트웨어 신뢰도 모형에 대한 모수 추정 비교)

  • Kim, Hee-Cheul;Lee, Sang-Sik;Song, Young-Jae
    • The KIPS Transactions:PartD
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    • v.11D no.6
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    • pp.1269-1276
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    • 2004
  • The Parameter Estimation for software existing reliability models, Goel-Okumoto, Yamada-Ohba-Osaki model was reviewed and Rayleigh model based on Rayleigh distribution was studied. In this paper, we discusses comparison of parameter estimation using maximum likelihood estimator and Bayesian estimation based on Gibbs sampling to analysis of the estimator' pattern. Model selection based on sum of the squared errors and Braun statistic, for the sake of efficient model, was employed. A numerical example was illustrated using real data. The current areas and models of Superposition, mixture for future development are also employed.

The Comparative Study for Software Reliability Model Based on Finite and Infinite Failure Exponential Power NHPP (유한 및 무한고장 지수파우어 NHPP 소프트웨어 신뢰성모형에 대한 비교 연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.8 no.3
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    • pp.195-202
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    • 2015
  • NHPP software reliability models for failure analysis can have, in the literature, exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, finite failure NHPP models that assuming the expected value of the defect and infinite failures NHPP models that repairing software failure point in time reflects the situation, were presented for comparing property. Commonly used in the field of software reliability based on exponential power distribution software reliability model finite failures and infinite failures were presented for comparison problem. As a result, finite fault model is effectively infinite fault models, respectively. The parameters estimation using maximum likelihood estimation was conducted. In this research, software developers to identify software failure property some extent be able to help is considered.

A Comparison Study between Uniform Testing Effort and Weibull Testing Effort during Software Development (소프트웨어 개발시 일정테스트노력과 웨이불 테스트 노력의 비교 연구)

  • 최규식;장원석;김종기
    • Journal of Information Technology Application
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    • v.3 no.3
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    • pp.91-106
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    • 2001
  • We propose a software-reliability growth model incoporating the amount of uniform and Weibull testing efforts during the software testing phase in this paper. The time-dependent behavior of testing effort is described by uniform and Weibull curves. Assuming that the error detection rate to the amount of testing effort spent during the testing phase is proportional to the current error content, the model is formulated by a nonhomogeneous Poisson process. Using this model the method the data analysis for software reliability measurement is developed. The optimum release time is determined by considering how the initial reliability R($\chi$ 0) would be. The conditions are ($R\chi$ 0)>$R_{o}$ , $P_{o}$ >R($\chi$ 0)> $R_{o}$ $^{d}$ and R($\chi$ 0)<$R_{o}$ $^{d}$ for uniform testing efforts. deal case is $P_{o}$ >($R\chi$ 0)> $R_{o}$ $^{d}$ Likewise, it is ($R\chi$ 0)$\geq$$R_{o}$ , $R_{o}$ >($R\chi$ 0)>R(eqation omitted) and ($R\chi$ 0)<R(eqation omitted)for Weibull testing efforts. Ideal case is $R_{o}$ > R($\chi$ 0)> R(eqation omitted).

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