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First-Rare-Event Times for Perturbed Closed Queuing Systems

Dmitrii Silvestrov
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Dmitrii Silvestrov: Stockholm University, Department of Mathematics

Chapter Chapter 6 in Perturbed Semi-Markov Type Processes I, 2022, pp 145-163 from Springer

Abstract: Abstract In this chapter, the results obtained in Chaps. 2 – 4 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-92403-4_6

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DOI: 10.1007/978-3-030-92403-4_6

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