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First-Rare-Event Times for Perturbed Closed Queuing Systems

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Perturbed Semi-Markov Type Processes I

Abstract

In this chapter, the results obtained in Chaps. 24 are illustrated by applications to perturbed closed M/M-type queuing systems. We present necessary and sufficient conditions for convergence in distribution for first-rare-event times for a number of models of perturbed closed M/M-type queuing systems. This chapter includes two sections.

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Silvestrov, D. (2022). First-Rare-Event Times for Perturbed Closed Queuing Systems. In: Perturbed Semi-Markov Type Processes I. Springer, Cham. https://doi.org/10.1007/978-3-030-92403-4_6

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