R. Kakubava - ANALYSIS OF ALTERNATING RENEWAL PROCESSES WITH DEPENDED COMPONENTS
نویسنده
چکیده
In the terms of operational calculus the probability characteristics of direct and reverse residual renewal time of alternating renewal process, where renewal time depends on life-time, are found. 1. Definitions, Motivations and Formulation of the Problem 1.1 According to [1] let’s consider a system which fails after random life-time X1 and is fully renewed after the lapse of random time Y1. The renewed system again fails after random lifetime X2 and is fully renewed after the lapse of random time Y2 and so on (Fig.1). Time moments T1 = X1, T2 = X1 + Y1 + X2,...., when the system fails is called moments of failure or moments of 0-renewal while time moments S1 = X1 + Y1, S2 = X1 + Y1 + X2 + Y2...., when renewals are ended are called the moments of renewal (or 1-renewal)
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