• Title/Summary/Keyword: NHPP

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Parameter Estimation and Comparison for SRGMs and ARIMA Model in Software Failure Data

  • Song, Kwang Yoon;Chang, In Hong;Lee, Dong Su
    • Journal of Integrative Natural Science
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    • v.7 no.3
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    • pp.193-199
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    • 2014
  • As the requirement on the quality of the system has increased, the reliability is very important part in terms of enhance stability and to provide high quality services to customers. Many statistical models have been developed in the past years for the estimation of software reliability. We consider the functions for NHPP software reliability model and time series model in software failure data. We estimate parameters for the proposed models from three data sets. The values of SSE and MSE is presented from three data sets. We compare the predicted number of faults with the actual three data sets using the NHPP software reliability model and time series model.

BAYESIAN APPROACH TO MEAN TIME BETWEEN FAILURE USING THE MODULATED POWER LAW PROCESS

  • Na, Myung-Hwa;Kim, Moon-Ju;Ma, Lin
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.10 no.2
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    • pp.41-47
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    • 2006
  • The Renewal process and the Non-homogeneous Poisson process (NHPP) process are probably the most popular models for describing the failure pattern of repairable systems. But both these models are based on too restrictive assumptions on the effect of the repair action. For these reasons, several authors have recently proposed point process models which incorporate both renewal type behavior and time trend. One of these models is the Modulated Power Law Process (MPLP). The Modulated Power Law Process is a suitable model for describing the failure pattern of repairable systems when both renewal-type behavior and time trend are present. In this paper we propose Bayes estimation of the next failure time after the system has experienced some failures, that is, Mean Time Between Failure for the MPLP model. Numerical examples illustrate the estimation procedure.

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A Bayesian Inference for Power Law Process with a Single Change Point

  • Kim, Kiwoong;Inkwon Yeo;Sinsup Cho;Kim, Jae-Joo
    • International Journal of Quality Innovation
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    • v.5 no.1
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    • pp.1-9
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    • 2004
  • The nonhomogeneous poisson process (NHPP) is often used to model repairable systems that are subject to a minimal repair strategy, with negligible repair times. In this situation, the system can be characterized by its intensity function. There have been many NHPP models according to intensity functions. However, the intensity function of system in use can be changed because of repair or its aging. We consider the single change point model as the modification of the power law process. The shape parameter of its intensity function is changed before and after the change point. We detect the presence of the change point using Bayesian methodology. Some numerical results are also presented.

The Software Reliability Growth Models for Software Life-Cycle Based on NHPP

  • Nam, Kyung-H.;Kim, Do-Hoon
    • The Korean Journal of Applied Statistics
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    • v.23 no.3
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    • pp.573-584
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    • 2010
  • This paper considers the differences in the software execution environments in the testing phase and the operational phase to determine the optimal release time and warranty period of software systems. We formulate equations for the total expected software cost until the end of the software life cycle based on the NHPP. In addition, we derive the optimal release time that minimizes the total expected software cost for an imperfect debugging software reliability model. Finally, we analyze the sensitivity of the optimal testing and maintenance design related to variation of the cost model parameters based on the fault data observed in the actual testing process, and discuss the quantitative properties of the proposed model.

A Study on Software Reliability Growth Model for Isolated Testing-Domain under Imperfect Debugging (불완전수정에서 격리된 시험영역에 대한 소프트웨어 신뢰도 성장모형 연구)

  • Nam, Kyung-H.;Kim, Do-Hoon
    • Journal of Korean Society for Quality Management
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    • v.34 no.3
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    • pp.73-78
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    • 2006
  • In this paper, we propose a software reliability growth model based on the testing domain in the software system, which is isolated by the executed test cases in software testing. In particular, our model assumes an imperfect debugging environment in which new faults are introduced in the fault-correction process, and is formulated as a nonhomogeneous Poisson process(NHPP). Further, it is applied to fault-detection data, the results of software reliability assessment are shown, and comparison of goodness-of-fit with the existing software reliability growth model is performed.

The Comparative Study of Software Optimal Release Time of Finite NHPP Model Considering Half-Logistic and Log-logistic Distribution Property (반-로지스틱과 로그로지스틱 NHPP 분포 특성을 이용한 소프트웨어 최적방출시기 비교 연구)

  • Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.9 no.2
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    • pp.1-10
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    • 2013
  • 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. In the course of correcting or modifying the software, finite failure non-homogeneous Poisson process model, presented and was proposed release policies of the life distribution, half-logistic and log-logistic distributions model which used to an area of reliability because of various shape and scale parameter. 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, the parameter estimation using maximum likelihood estimation of failure time data make out, and software optimal release time was estimated.

A Study on Software Reliability using kappa(2) Distribution (kappa(2)분포를 이용한 소프트웨어 성장모형에 관한 연구)

  • Kim, Hee-Cheul;Lee, Sang-Sik
    • Proceedings of the Korea Information Processing Society Conference
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    • 2005.11a
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    • pp.361-364
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    • 2005
  • 본 논문에서는 순서 통계량을 이용한 유한 고장 NHPP 모형들이 제안되었다. 이 모형들은 결함당 고장발생률이 단조 증가하거나 단조 감소하는 패턴을 가진다. 그리고 수명 분포에서는 기존의 모형들과 비교하고 kappa(2) 분포를 이용한 소프트웨어 신뢰성 모형을 제안하여 이 모형의 특성과 효율성에 대하여 제시하였다. 고장 간격 시간 자료를 이용한 무한고장 NHPP 모형들에 대한 모수 추정은 최우 추정법을 사용하였고 적용 분포들의 적용을 용이하게 하기 위하여 특수한 형태를 제시하였다. 실제고장 자료를 이용한 자료분석에서는 편차자승합을 이용한 모형 선택과 적합도 및 치우침 검정을 실시하여 그 결과를 나열 하였다.

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An Imperfect Debugging Software Reliability Growth Model with Change-Point (변화점을 갖는 불완전수정 소프트웨어 신뢰도 성장모형 연구)

  • Nam, Kyung-H.;Kim, Do-Hoon
    • Journal of Korean Society for Quality Management
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    • v.34 no.4
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    • pp.133-138
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    • 2006
  • In this paper, we propose a software reliability growth model (SRGM) based on the testing domain, which is isolated by the executed test cases. This model assumes an imperfect debugging environment in which new faults are introduced in the fault-correction process. We consider that the fault detection rate of NHPP model is changed in the proposed SRGM. We obtain the maximum likelihood estimate, and compare goodness-of-fit with another existing software reliability growth model.

A Study On The Delayed S Shaped Software Reliability Growth Model (지연 S자형 소프트웨어 신뢰도 성장모델에 관한 연구)

  • 문외식
    • Journal of the Korea Society of Computer and Information
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    • v.1 no.1
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    • pp.195-210
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    • 1996
  • For predicting the parameters and estimating the goodness of fit reliability growth model based on NHPP(Non Homogeneous Poission Process) among various reliability growth models, a Delayed S Shaped SRGM Tool is designed and Implemented. The Implemented tool is applied to real software error data, and the result Is compared and annalized.

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A study on the Reliability System Software based on NHPP(Non-Homogeneous Poisson Process (비-동질 안정 프로세스 기반 임베디드 시스템 소프트웨어의 신뢰성 특성에 관한 연구)

  • 한상섭;백영구;이근석;전현덕;류호중;이기서
    • Proceedings of the KSR Conference
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    • 2001.05a
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    • pp.347-358
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    • 2001
  • In this paper, we apply NHPP model example to s/w process in order to get to know s/w reliability. The test is constructed by a test zig of commercial product loaded real embedded system s/w. It is established to s/w reliability prediction and estimation of real-time embedded system s/w. It is computed the prediction value of cumulative failures, the failure intensity, the reliability and the estimation value of MTTF, Failure Rate. To the more realization of high reliability in the real-time embedded system s/w, if the embedded system s/w is ensured to the test coverage and constructed to stable s/w process & operating system, we can improve the performance and the reliability characteristic of the real-time embedded system s/w.

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