• Title/Summary/Keyword: NHPP Model

Search Result 142, Processing Time 0.026 seconds

The Bayesian Inference for Software Reliability Models Based on NHPP (NHPP에 기초한 소프트웨어 신뢰도 모형에 대한 베이지안 추론에 관한 연구)

  • Lee, Sang-Sik;Kim, Hui-Cheol;Song, Yeong-Jae
    • The KIPS Transactions:PartD
    • /
    • v.9D no.3
    • /
    • pp.389-398
    • /
    • 2002
  • Software reliability growth models are used in testing stages of software development to model the error content and time intervals between software failures. This paper presents a stochastic model for the software failure phenomenon based on a nonhomogeneous Poisson process(NHPP) and performs Bayesian inference using prior information. The failure process is analyzed to develop a suitable mean value function for the NHPP ; expressions are given for several performance measure. Actual software failure data are compared with several model on the constant reflecting the quality of testing. The performance measures and parametric inferences of the suggested models using Rayleigh distribution and Laplace distribution are discussed. The results of the suggested models are applied to real software failure data and compared with Goel model. Tools of parameter point inference and 95% credible intereval was used method of Gibbs sampling. In this paper, model selection using the sum of the squared errors was employed. The numerical example by NTDS data was illustrated.

Comparative Analysis on the Performance of NHPP Software Reliability Model with Exponential Distribution Characteristics (지수분포 특성을 갖는 NHPP 소프트웨어 신뢰성 모형의 성능 비교 분석)

  • Park, Seung-Kyu
    • The Journal of the Korea institute of electronic communication sciences
    • /
    • v.17 no.4
    • /
    • pp.641-648
    • /
    • 2022
  • In this study, the performance of the NHPP software reliability model with exponential distribution (Exponential Basic, Inverse Exponential, Lindley, Rayleigh) characteristics was comparatively analyzed, and based on this, the optimal reliability model was also presented. To analyze the software failure phenomenon, the failure time data collected during system operation was used, and the parameter estimation was solved by applying the maximum likelihood estimation method (MLE). Through various comparative analysis (mean square error analysis, true value predictive power analysis of average value function, strength function evaluation, and reliability evaluation applied with mission time), it was found that the Lindley model was an efficient model with the best performance. Through this study, the reliability performance of the distribution with the characteristic of the exponential form, which has no existing research case, was newly identified, and through this, basic design data that software developers could use in the initial stage can be presented.

The Camparative study of NHPP Extreme Value Distribution Software Reliability Model from the Perspective of Learning Effects (NHPP 극값 분포 소프트웨어 신뢰모형에 대한 학습효과 기법 비교 연구)

  • Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
    • /
    • v.7 no.2
    • /
    • pp.1-8
    • /
    • 2011
  • In this study, software products developed in the course of testing, software managers in the process of testing software test and test tools for effective learning effects perspective has been studied using the NHPP software. The finite failure non-homogeneous Poisson process models presented and the life distribution applied extreme distribution which used to find the minimum (or the maximum) of a number of samples of various distributions. Software error detection techniques known in advance, but influencing factors for considering the errors found automatically and learning factors, by prior experience, to find precisely the error factor setting up the testing manager are presented comparing the problem. As a result, the learning factor is greater than automatic error that is generally efficient model could be confirmed. This paper, a numerical example of applying using time between failures and parameter estimation using maximum likelihood estimation method, after the efficiency of the data through trend analysis model selection were efficient using the mean square error.

Predictions of MLE and LSE in NHPP Software Reliability Model

  • Song, Kwang-Yoon;Chang, In-Hong;Lee, Seung-Woo
    • Journal of Integrative Natural Science
    • /
    • v.6 no.2
    • /
    • pp.111-117
    • /
    • 2013
  • We propose a mean value function for software failures in NHPP software reliability model. And we deal with the maximum likelihood estimation and the least squares estimation in the proposed mean value function. The explicit mean value function solution for the proposed model is presented by MLE and LSE in two data sets. The values of SSE and MSE is presented in two data sets by MLE and LSE. We compare the predicted number of faults with the actual two data sets using the proposed mean value function.

A Class of Discrete Time Coverage Growth Functions for Software Reliability Engineering

  • Park, Joong-Yang;Lee, Gye-Min;Park, Jae-Heung
    • Communications for Statistical Applications and Methods
    • /
    • v.14 no.3
    • /
    • pp.497-506
    • /
    • 2007
  • Coverage-based NHPP SRGMs have been introduced in order to incorporate the coverage growth behavior into the NHPP SRGMs. The coverage growth function representing the coverage growth behavior during testing is thus an essential factor of the coverage-based NHPP SRGMs. This paper proposes a class of discrete time coverage growth functions and illustrates its application to real data sets.

The Comparative Study of NHPP Software Reliability Model Exponential and Log Shaped Type Hazard Function from the Perspective of Learning Effects (지수형과 로그형 위험함수 학습효과에 근거한 NHPP 소프트웨어 신뢰성장모형에 관한 비교연구)

  • Kim, Hee Cheul
    • Journal of Korea Society of Digital Industry and Information Management
    • /
    • v.8 no.2
    • /
    • pp.1-10
    • /
    • 2012
  • In this study, software products developed in the course of testing, software managers in the process of testing software test and test tools for effective learning effects perspective has been studied using the NHPP software. The finite failure nonhomogeneous Poisson process models presented and the life distribution applied exponential and log shaped type hazard function. Software error detection techniques known in advance, but influencing factors for considering the errors found automatically and learning factors, by prior experience, to find precisely the error factor setting up the testing manager are presented comparing the problem. As a result, the learning factor is greater than autonomous errors-detected factor that is generally efficient model could be confirmed. This paper, a failure data analysis of applying using time between failures and parameter estimation using maximum likelihood estimation method, after the efficiency of the data through trend analysis model selection were efficient using the mean square error and coefficient of determination.

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
    • /
    • v.6 no.2
    • /
    • pp.183-191
    • /
    • 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.

Parameter Estimation and Prediction for NHPP Software Reliability Model and Time Series Regression in Software Failure Data

  • Song, Kwang-Yoon;Chang, In-Hong
    • Journal of Integrative Natural Science
    • /
    • v.7 no.1
    • /
    • pp.67-73
    • /
    • 2014
  • We consider the mean value function for NHPP software reliability model and time series regression model in software failure data. We estimate parameters for the proposed models from two data sets. The values of SSE and MSE is presented from two data sets. We compare the predicted number of faults with the actual two data sets using the mean value function and regression curve.

The Study for NHPP Software Reliability Growth Model based on Burr Distribution (Burr 분포를 이용한 NHPP소프트웨어 신뢰성장모형에 관한 연구)

  • Kim, Hee-Cheul;Park, Jong-Goo
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.11 no.3
    • /
    • pp.514-522
    • /
    • 2007
  • Finite failure NHPP models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this parer, Goel-Okumoto and Yamada-Ohba-Osaki model was reviewed, proposes the Burr distribution reliability model, which making out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on SSE, AIC statistics and Kolmogorov distance, for the sake of efficient model, was employed. Analysis of failure using real data set for the sake of proposing shape parameter of the Burr distribution was employed. This analysis of failure data compared with the Burr distribution model and the existing model(using arithmetic and Laplace trend tests, bias tests) is presented.

A Comparative Study for NHPP Software Reliability Model based on the Shape Parameter of Flexible Weibull Extension Distribution (유연한 와이블 확장분포의 형상모수를 이용한 NHPP 소프트웨어 신뢰성 모형에 관한 비교연구)

  • Kim, Hee-Cheul;Shin, Hyun-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
    • /
    • v.9 no.2
    • /
    • pp.141-147
    • /
    • 2016
  • 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 the field of software reliability based on Flexible Weibull extension distribution software reliability of infinite failures was presented for comparison problem. The result is that a relatively small shaping 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.