Distribution of Time Between Failures of Numerical Control System Based on Censored Data

Abstract:

The calculation of mean time between failures (MTBF) is of significance in reliability engineering. The precondition before calculation of MTBF is to make sure what failure model the numerical control (NC) system follows. For different distributions, the corresponding calculation methods of MTBF are always different. Undertaken a 2 year period of timing censored test with replacement of NC lathe, authors apply a type I censored likelihood function to make the distribution fitting of time between failures of NC system. The tests of goodness-of-fit applying Hollander’s method demonstrate that the time between failures of NC system follows the Weibull distribution. The conclusion not only deeply analyzes the NC system failure law, but also establishes the basis of calculation for the mean time between failures of NC system based on censored data with replacement.

• Periodical: Advanced Materials Research (Volume 544)
• Pages: 55-60
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.544.55
• Online since: June 2012
• Authors: Yi Dai, Xue Zhi Yang, Ning Ji
• Keywords: Censored Data, Numerical Control System, Reliability Evaluation, Weibull Distribution

References

[1] Zhang, H,B., Jia, Y. Z, Zhou, G.W., Time between failures distribution model of CNC system, Journal of Harbin Institute of Technology, 2005; 37(2): 198-200. (in Chinese).

[2] Lawless, J.F., Statistical models and methods for lifetime data, London: Wiley; 1982, p.141~170.

[3] Hollander, M., Proschan, F., Testing to determine the underlying distribution using randomly censored data. Biometrics 1979; 35: 393-401.

DOI: 10.2307/2530342