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Limit Theorems for Semi-Markov Queues and Their Applications
Abstract:We begin by definition of semi-Markov flow and discussion of its properties. Asymptotic behavior of multi-server and single-server queueing systems is studied under assumption of time-compression or service time growth. The results obtained are used for calculation of large systems reliability. Statistical estimates of parameters involved are also provided.
Keywords:Limit theorems  Parameters estimates  Reliability  Semi-Markov flow  Single-server and multi-server queueing systems with semi-Markov input
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