Large deviation results for queues with continuous time Markov modulated arrivals

Soohan Ahn, Jongwoo Jeon

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this paper, we obtain a large deviation rate function for a Markov modulated process by using Donsker's and Varadhan's result. This function has a different form of Iscoe et al. Markov modulated process contains MMPP, the Markov fluid process and the process with batch arrivals. Moreover, we obtain asymptotic decay rate of the steady- state workload for a queuing model with Markov modulated process as an arrival process. This asymptotic decay rate has a different form of Duffield.

Original languageEnglish
Pages (from-to)67-74
Number of pages8
JournalEngineering Simulation
Volume18
Issue number1
StatePublished - 2000

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