IEEE Transactions on Reliability · 1976 · 22 citations · 4 references
EngineeringMathematicsSystems EngineeringDynamical SystemsRenewable Energy SystemsStochastic ProcessesDiscrete-time Stochastic ProcessesMarkov ProcessesQueueing TheoryRenewal ProcessesRenewal TheoryStochastic StabilityAsymptotic NormalityAsymptotic StabilityRenewal Process ModelsRenewal Theory Limit Theorems
Recurrent expressions are given for point and interval unavailability of a renewable system subjected to periodic checking/repair. The expressions are generalizations of the basic relations in the theory of discrete renewal processes. The asymptotic limits for long times follow simply from a general theorem of this theory. The connection to previous expressions is established.
4
An Introduction to Probability Theory and Its Applications
David A. Freedman, William Feller · Econometrica · 1967 · 1.3K citations
Mathematical Theory of Reliability
Z. A. Łomnicki · Journal of the Operational Research Society · 1966 · 105 citations