한국정보전자통신기술학회논문지 (The Journal of Korea Institute of Information, Electronics, and Communication Technology)

  • 제9권2호
  • /
  • Pages.133-140
  • /
  • 2016
  • /
  • 2005-081X(pISSN)
  • /
  • 2288-9302(eISSN)
한국정보전자통신기술학회 (Korea Information Electronic Communication Technology)
권호 표지
DOI QR코드

DOI QR Code

지수 및 역지수 분포를 이용한 NHPP 소프트웨어 무한고장 신뢰도 모형에 관한 비교연구

The Comparative Study of NHPP Software Reliability Model Based on Exponential and Inverse Exponential Distribution

  • 투고 : 2016.04.10
  • 심사 : 2016.04.23
  • 발행 : 2016.04.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

소프트웨어 개발과정에서 소프트웨어 신뢰성은 매우 중요한 이슈이다. 소프트웨어 고장분석을 위한 무한고장 비동질적인 포아송과정에서 고장발생률이 상수이거나, 단조 증가 또는 단조 감소하는 패턴을 가질 수 있다. 본 논문에서는 소프트웨어 신뢰성에 대한 적용 효율을 나타내는 지수 및 역지수분포를 이용한 신뢰성 모형을 비교 제안한다. 효율적인 모형을 위해 평균제곱오차(MSE), 결정계수($R^2$)에 근거한 모델선택, 최우추정법, 이분법에 사용된 파라미터를 평가하기 위한 알고리즘이 적용되였다. 제안하는 지수 및 역지수분포를 이용한 신뢰성 모형를 위해 실제 데이터을 사용한 고장분석이 적용되였다. 고장데이터 분석은 지수 및 역지수분포를 이용한 강도함수와 비교하였다. 데이터 신뢰성을 보장하기 위하여 라플라스 추세검정(Laplace trend test)을 사용하였다. 본 연구에 제안된 역지수분포 신뢰성모형도 신뢰성 측면에서 효율적이기 때문에 (결정계수가 80% 이상) 이 분야에서 기존 모형의 하나의 대안으로 사용할 수 있음을 확인 할 수 있었다. 이 연구를 통하여 소프트웨어 개발자들은 다양한 수명분포를 고려함으로서 소프트웨어 고장형태에 대한 사전지식을 파악하는데 도움을 줄 수 있으리라 사료 된다.

Software reliability in the software development process is an important issue. Software process improvement helps in finishing with reliable software product. Infinite failure NHPP software reliability models presented in the literature exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, we were proposed the reliability model with the exponential and inverse exponential distribution, which made out efficiency application for software reliability. Algorithm to estimate the parameters used to maximum likelihood estimator and bisection method, model selection based on mean square error (MSE) and coefficient of determination($R^2$), for the sake of efficient model, were employed. Analysis of failure, using real data set for the sake of proposing the exponential and inverse exponential distribution, was employed. This analysis of failure data compared with the exponential and inverse exponential distribution property. In order to insurance for the reliability of data, Laplace trend test was employed. In this study, the inverse exponential distribution model is also efficient in terms of reliability because it (the coefficient of determination is 80% or more) in the field of the conventional model can be used as an alternative could be confirmed. From this paper, the software developers have to consider life distribution by prior knowledge of the software to identify failure modes which can be able to help.

키워드

참고문헌

  1. Gokhale, S. S. and Trivedi, K. S. A, "time/structure based software reliability model", Annals of Software Engineering. 8, pp. 85-121. 1999. https://doi.org/10.1023/A:1018923329647
  2. Goel A L, Okumoto K, "Time-dependent fault detection rate model for software and other performance measures", IEEE Trans. Reliab. 28, pp. 206-11, 1978.
  3. Yamada S, Ohba H. S-shaped software reliability modeling for software error detection. IEEE Transaction on Reliability 3, pp. 475-84, 1983.
  4. Zhao M. Change-point problems in software and hardware reliability. Communication Stat Theory Methods 22(3), pp. 757-68, 1993. https://doi.org/10.1080/03610929308831053
  5. Shyur H-J. A stochastic software reliability model with imperfect debugging and change-point. J Syst Software 66(2), pp. 135-41, 2003. https://doi.org/10.1016/S0164-1212(02)00071-7
  6. Pham H, Zhang X., "NHPP software reliability and cost models with testing coverage", Eur. J. Oper. Res, 145, pp.445-454, 2003.
  7. Huang C-Y. Performance analysis of software reliability growth models with testing-effort and change-point. J Syst Software. 2005; 76:181-94. https://doi.org/10.1016/j.jss.2004.04.024
  8. Kuei-Chen, C., Yeu-Shiang, H., and Tzai-Zang, L., "A study of software reliability growth from the perspective of learning effects", Reliability Engineering and System Safety 93, pp. 1410-1421, 2008. https://doi.org/10.1016/j.ress.2007.11.004
  9. Hee-Cheul KIM, "The Assessing Comparative Study for Statistical Process Control of Software Reliability Model Based on Rayleigh and Burr Type", Journal of korea society of digital industry and information management, Volume 10, No.2, pp. 1-11. 2014. https://doi.org/10.17662/ksdim.2014.10.1.001
  10. Kim H-C. The Property of Learning effect based on Delayed Software S-Shaped Reliability Model using Finite NHPP Software Cost Model, Indian Journal of Science and Technology 8(34), pp.1-7, 2015.
  11. Tae-Hyun Yoo, "The Infinite NHPP Software Reliability Model based on Monotonic Intensity Function", Indian Journal of Science and Technology, Volume 8, No. 14, pp. 1-7, 2015.
  12. K,H Rao, R. S, Prasad and. R.L.Kantham "Software Reliability Measuring using Modified Maximum Likelihood Estimation and SPC", International Journal of Computer Applications (0975-8887), Volume 21, No.7, pp. 1-5., May 2011. https://doi.org/10.5120/2527-3440
  13. Kersey, Jing Xiong, "Weighted Inverse Weibull and Beta-Inverse Weibull Distribution", Electronic Theses & Dissertations Paper 661, pp. 1-53, 2010.
  14. K. Kanoun and J. C. Laprie, "Handbook of Software Reliability Engineering", M.R.Lyu, Editor, chapter Trend Analysis. McGraw-Hill New York, NY, pp. 401-437, 1996.