DOI QR코드

DOI QR Code

A comparative study on learning effects based on the reliability model depending on Makeham distribution

Makeham분포에 의존한 신뢰성모형에 근거한 학습효과 특성에 관한 비교 연구

  • Kim, Hee-Cheul (Department of Industrial & Management Engineering, Namseoul University) ;
  • Cheul, Shin-Hyun (Department of Computer Engineering, BackSeok Culture University)
  • Received : 2016.10.05
  • Accepted : 2016.10.28
  • Published : 2016.10.30

Abstract

In this study, we investigated the comparative NHPP software model based on learning techniques that operators in the process of software testing and development of software products that can be applied to software test tool. The life distribution was applied Makeham distribution based on finite fault NHPP. 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 larger than automatic error that is usually well-organized model could be established. This paper, a trust characterization of applying using time among failures and parameter approximation using maximum likelihood estimation, after the effectiveness of the data through trend examination model selection were well-organized using the mean square error and $R^2$. From this paper, the software operators must be considered life distribution by the basic knowledge of the software to confirm failure modes which may be helped.

본 논문에서는 소프트웨어 제품을 개발하여 테스팅을 하는 시행에서 소프트웨어 운용자들이 소프트웨어 검사 도구에 적용할 수 있는 학습기법에 근거한 NHPP 소프트웨어 모형에 대하여 비교 연구 하였다. 수명분포는 Makeham 분포를 이용하고 유한고장 NHPP모형을 적용하였다. 소프트웨어 오류 탐색 방법은 미리 인지하지 못하지만 자동적으로 발견되는 에러에 영향을 주는 영향요인과 사전경험에 기초하여 에러를 관찰하기 위하여 테스팅 운용자가 미리 설정해놓은 요인인 학습효과의 영향에 대한 문제를 비교 분석하였다. 그 결과 학습요인이 자동 에러 탐색요인보다 큰 경우가 일반적으로 효율적인 모형으로 나타났다. 본 논문의 신뢰특성분석에서는 소프트웨어고장시간을 적용하고 모수추정 방법은 최우추정법을 적용하고 추세분석을 통하여 자료의 신뢰성을 확보한 이후에 평균제곱오차와 $R^2$ (결정계수)를 적용하여 효율적인 모형을 선택 비교 분석하였다. 이 연구를 통하여 소프트웨어 운영자들은 다양한 학습효과를 고려함으로서 소프트웨어 고장추세에 대한 기본지식을 파악하는데 하나의 지침으로 사용가능함을 보여주고 있다.

Keywords

References

  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. Pham H, Zhang X., "NHPP software reliability and cost models with testing coverage", Eur. J. Oper. Res, 145, pp.445-454, 2003.
  4. 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
  5. K. G. Manton, E. stallard and J. W. Vaupel, "Alternative Models for the Heterogeneity of Mortality Risks Among the Aged", Journal of the American Statistical Association, Vol. 81, No. 395, pp.635-644, 1986. https://doi.org/10.1080/01621459.1986.10478316
  6. L. Kuo and T. Y. Yang,."Bayesian Computation of Software Reliability", Journal of the American Statistic al Association", Vol.91, pp. 763-773, 1996. https://doi.org/10.1080/01621459.1996.10476944
  7. Hee-Cheul Kim, "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, Vol. 8, No. 34, pp. 1-7, 2015.
  8. Kim H-C, "A Performance Analysis of Software Reliability Model using Lomax and Gompertz Distribution Property", Indian Journal of Science and Technology, Vol. 9, No. 20, pp. 1-6, 2016.
  9. Tae-Hyun Yoo, "The Infinite NHPP Software Reliability Model based on Monotonic Intensity Function", Indian Journal of Science and Technology, Vol. 8, No. 14, pp. 1-7, 2015.
  10. Satya Prasad R, Rao KRH, Kantha RRL. "Software reliability measuring using modified maximum likelihood estimation and SP",. International Journal of Computer Applications, Vol. 21, No. 7, pp.1-5, 2011. https://doi.org/10.5120/2527-3440
  11. 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.
  12. Kim H-C, Kim K-S, "Software Development Cost Model based on NHPP Gompertz Distribution", Indian Journal of Science and Technology, Vol. 9, No. 20, pp. 1-6, 2016.