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A Study on the Property Analysis of Software Reliability Model with Shape Parameter Change of Finite Fault NHPP Erlang Distribution

유한고장 NHPP 어랑분포의 형상모수 변화에 따른 소프트웨어 신뢰성 모형의 속성 분석에 관한 연구

  • Min, Kyung Il (Industry Academic Cooperation Foundation, Namseoul University)
  • Received : 2018.10.18
  • Accepted : 2018.12.22
  • Published : 2018.12.31

Abstract

Software reliability has the greatest impact on computer system reliability and software quality. For this software reliability analysis, In this study, we compare and analyze the trends of the properties affecting the reliability according to the shape parameters of Erlang distribution based on the finite fault NHPP. Software failure time data were used to analyze software failure phenomena, the maximum likelihood estimation method was used for parameter estimation. As a result, it can be seen that the intensity function is effective because it shows a tendency to decrease with time when the shape parameters a = 1 and a = 3. However, the pattern of the mean value function showed an underestimation pattern for the true values when the shape parameters a = 1 and a = 2, but it was found to be more efficient when a = 3 because the error width from the true value was small. Also, in the reliability evaluation of the future mission time, the stable and high trend was shown when the shape parameters a = 1 and a = 3, but on the contrary, when a = 2, the reliability decreased with the failure time. Through this study, the property of finite fault NHPP Erlang model according to the change of shape parameter without existing research case was newly analyzed, and new research information that software developers can use as basic guideline was presented.

Keywords

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Laplace Trend Test

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Transition of Mean Square Error(MSE)

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Transition of Intensity Function λ(t)

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Pattern of Mean Value Function m(t)

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Transition of Reliability Ȓ(t)

Software Failure Time Data

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Parameter Estimation of the Each Model and MSE, R2

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