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Bayesian Reliability Estimation of a New Expendable Launch Vehicle

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초록

Purpose: This paper explains how to obtain the Bayes estimates of the whole launch vehicle and of a vehiclestage, respectively, for a newly developed expendable launch vehicle. Methods: We determine the parameters of the beta prior distribution using the upper bound of the 60%Clopper-Pearson confidence interval of failure probability which is calculated from previous launch data consideringthe experience of the developer. Results: Probability that a launch vehicle developed from an inexperienced developer succeeds in the firstlaunch is obtained by about one third, which is much smaller than that estimated from the previous research. Conclusion: The proposed approach provides a more conservative estimate than the previous noninformativeprior, which is more reasonable especially for the initial reliability of a new vehicle which is developed byan inexperienced developer.

Abstract

Purpose: This paper explains how to obtain the Bayes estimates of the whole launch vehicle and of a vehiclestage, respectively, for a newly developed expendable launch vehicle. Methods: We determine the parameters of the beta prior distribution using the upper bound of the 60%Clopper-Pearson confidence interval of failure probability which is calculated from previous launch data consideringthe experience of the developer. Results: Probability that a launch vehicle developed from an inexperienced developer succeeds in the firstlaunch is obtained by about one third, which is much smaller than that estimated from the previous research. Conclusion: The proposed approach provides a more conservative estimate than the previous noninformativeprior, which is more reasonable especially for the initial reliability of a new vehicle which is developed byan inexperienced developer.

참고문헌 (14)

  1. Chang, I-Shih., "Overview of World Space Launches", Journal of Propulsion and Power, 16, pp.853~866 (2000)
  2. Clopper, C. J., "The Use of Confidence or Fiducial Limits Illustrated in the Case of the Binomial", Biometrika, 26, pp.404~413 (1934)
  3. Federal Aviation Administration, "Guide to Probability of Failure Analysis for New Expendable Launch Vehicles" (2005), Commercial Space Transportation
  4. Guikema, Seth D., "Bayesian Analysis of Launch Vehicle Success Rates", Journal of Spacecraft and Rockets, 41, pp.93~102 (2004)
  5. Hamada, Michael S., "Bayesian Reliability" (2008), Springer
  6. Han, Poonggyoo., "Launch Vehicle Reliability Analysis", Proceeding of the Korean Society of the Propulsion Engineers, pp.76~79 (2003)
  7. Jung, Inha., "Empirical Bayes Estimation of Binomial Parameter with an Application to the Lot Acceptance Sampling Problem", Journal of the Korean Society for Quality Management, 19, pp.86~95 (1991)
  8. Johnson, Valen E., "A Hierarchical Model for Estimating the Early Reliability of Complex Systems", IEEE Transactions on Reliability, 54, pp.224~321 (2005)
  9. Kim, Gwang-sub., "On the Development of Quality Assurance System : Achieving Reliability in Purchased Equipment", Journal of the Korean Society for Quality Management, 19(1), pp.43~50 (1991)
  10. Kim, Woo-chul., "A Study on Optimal Sampling Accpetance Plans with Respect to a Linear Loss Function and a Beta-Binomial Distribution", Journal of the Korean Society for Quality Management, 10, pp.25~33 (1982)
  11. Leemis, Lawrence M., "A Comparison of Approximate Interval Estimators for the Bernoulli Parameter", The American Statistician, 50, pp.63~68 (1996)
  12. Seo, Yoonkyung., "Case Study on Russian Launch Vehicle Failures", Proceedings of KSAS Symposium on Aerospace Engineering, 11, pp.317~320 (2005)
  13. Springer, Michael D., "Bayesian Confidence Limits for the Product of N Binomial Parameters", Biometrika, 53, pp.611~613 (1966)
  14. Yoo, Seung-Woo., "A Study on the Reliability of Space Launch Vehicle", Journal of Applied Reliability, 4, pp.105~119 (2004)

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