Geodesic
The stability of one reliability model
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2007), pp. 12-16

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A special class of reliability system with different elements and with continuous distribution function of non-failure operation times of elements is considered. Under the given conditions the non-failure operation time distribution functions of any system from this class is also continuous. The uniform hyper Erlang approximation for the distribution function of non-failure operation time is constructed. Then the stability of the system in uniform metrics by parameters of hyper Erlang approximation is established. 
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     author = {S. M. Narimanyan and T. Z. Khachikyan},
     title = {The  stability  of  one  reliability  model},
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S. M. Narimanyan; T. Z. Khachikyan. The  stability  of  one  reliability  model. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2007), pp. 12-16. http://geodesic.mathdoc.fr/item/UZERU_2007_2_a1/