Batch markovian arrival process - Open Access .click

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Loss probabilities and delay and jitter distributions in a finite buffer queue with heterogeneous batch Markovian arrival processes

Proceedings of GLOBECOM '93. IEEE Global Telecommunications Conference, 2002
We study a single server queue with finite buffer that may represent an ATM multiplexer. The input traffic is a superposition of independent heterogeneous batch Markovian arrival processes. Service durations are supposed to be exponential. We derive the loss probability and the delay and jitter distributions for each individual process, as well as for ...
D. Kofman, H. Korezlioglu
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A simple analysis of the batch arrival queue with infinite-buffer and Markovian service process using roots method: $ GI^{[X]}/C$-$ MSP /1/\infty $

Ann. Oper. Res., 2017
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Mohan L. Chaudhry +2 more
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Algorithmic Analysis of Dual Tandem Queue with Batch Markovian Arrival Process and Repeated Attempts at the First Station

2014
A dual tandem queueing system with a Batch Markovian Arrival Process ($BMAP$) is considered. The first station is represented by a retrial multi-server queueing system with infinite orbit. General form of dependence of the total retrial intensity on the current number of customers in orbit is suggested. The second station is a multi-server queue with
Valentina Klimenok, Alexander Dudin
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A Two-Step Fitting Approach of Batch Markovian Arrival Processes for Teletraffic Data