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Asymptotic analysis of a complex standby system with renewal. (English. Russian original) Zbl 0800.90393

Theory Probab. Math. Stat. 44, 131-133 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 44, 132-135 (1991).
Summary: We prove the asymptotic exponentiality of the time of first failure for a complex repairable rapid standby system in a Markov random environment.

MSC:

90B05 Inventory, storage, reservoirs
60K10 Applications of renewal theory (reliability, demand theory, etc.)