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On Repair Age Residual Repair Life in the Minimal Repair Process

Published online by Cambridge University Press:  27 July 2009

S.N.U.A. Kirmani  and
Ramesh C. Gupta
S.N.U.A. Kirmani
Affiliation:
University of Northern lowa Cedar Falls, lowa 50614
Ramesh C. Gupta
Affiliation:
University of Maine Orono, Maine 04469
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Abstract

Some properties of repair age (the elapsed time since the last repair) and the residual repair life (the time until the next repair) are studied for the minimal repair process under various assumptions on the aging characteristics of the equipment under maintenance. Bounds on expected repair age and expected residual repair life are obtained. Some characterizations of the Poisson process are also proved.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 3 , Issue 3 , July 1989 , pp. 381 - 391
Copyright
Copyright © Cambridge University Press 1989

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References

Barlow, R.E., & Proschan, F. (1975). Statistical theory of reliability and life testing: probability models. New York: Holt, Rinehart, and Winston.Google Scholar
Bhattacharjee, M.C. (1982). The class of mean residual lives and some consequences. SIAM Journal of Discrete and Algebraic Mathematics 3: 56–65.Google Scholar
Chung, K.L. (1972). The Poisson process as renewal process. Periodica Mathematica Hungaria 2: 41–48.CrossRefGoogle Scholar
Cinlar, E., & Jagers, P. (1973). Two mean values which characterize the Poisson process. Journal of Applied Probability 10: 678–681.CrossRefGoogle Scholar
Gupta, R.C. (1981). On the mean residual life function in survival studies. In Taillie, C. et al. (eds.), Statistical distributions in scientific work, Vol. 5. Amsterdam: D. Reidel Publishing Co., pp. 327–334.CrossRefGoogle Scholar
Gupta, R.C. & Kirmani, S.N.U.A. (1988). Closure and monotonicity properties of nonhomogeneous Poisson processes and record values. Prob. in Eng. and Inform. Sciences 2: 475–484.CrossRefGoogle Scholar
Gupta, P.L. & Gupta, R.C. 1986. A characterization of the Poisson process. Journal of Applied Probability 23: 233–235.CrossRefGoogle Scholar
Hall, W.J. & Wellner, J.A. (1981). Mean residual life. In Csörgo, M. et al. (eds.), Statistics and related topics. Amsterdam: North-Holland Publishing Co., pp. 169–184.Google Scholar
Lehmann, E.L. (1983). Theory of point estimation. New York: Wiley.Google Scholar
Ross, S.M. (1983). Stochastic processes. New York: Wiley.Google Scholar