an:01537448
Zbl 0958.60084
Kushnir, O. O.
The first failure of a highly reliable system of two elevators
EN
Theory Probab. Math. Stat. 59, 113-120 (1999); translation from Teor. Jmorvirn. Mat. Stat. 59, 110-116 (1998).
00072053
1998
j
60K10 90B25 60K20
upper estimations; two lifts' system; time to failure
Asymptotic of the distribution function of time to failure for a system of two lifts were investigated by \textit{A. N. Korlat, V. N. Kuznetsov, M. M. Novikov} and \textit{A. F. Turbin} [``Semi-Markov models of renewal systems and queueing systems'' (1991; Zbl 0778.60064)]. In this paper an analogous limit theorem is proved by another method under more general conditions. A uniform limit theorem is formulated in this case. Upper estimates for distribution function of time to failure of a highly reliable system of two lifts are given. Highly reliable systems with protection were investigated by the author [Theory Probab. Math. Stat. 55, 121-128 (1997); translation from Teor. Jmovirn. Mat. Stat. 55, 117-124 (1996; Zbl 0923.60092)].
A.V.Swishchuk (Ky??v)
Zbl 0778.60064; Zbl 0923.60092