Results 1 to 10 of about 184 (123)
Analysis of a Queueing Model with Batch Markovian Arrival Process and General Distribution for Group Clearance. [PDF]
Methodol Comput Appl Probab, 2021 In this paper we consider a single server queueing model with under general bulk service rule with infinite upper bound on the batch size which we call group clearance. The arrivals occur according to a batch Markovian point process and the services are generally distributed.
Chakravarthy SR, Shruti, Rumyantsev A.
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Burst ratio for a versatile traffic model. [PDF]
PLoS ONE, 2022 We deal with a finite-buffer queue, in which arriving jobs are subject to loss due to buffer overflows. The burst ratio parameter, which reflects the tendency of losses to form long series, is studied in detail.
Andrzej Chydzinski
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A queueing system with a batch Markovian arrival process and varying priorities
Журнал Белорусского государственного университета: Математика, информатика, 2022 We consider herein a single-server queueing system with a finite buffer and a batch Markovian arrival process. Customers staying in the buffer may have a lower or higher priority.
Valentina I. Klimenok
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Computational and Numerical Investigation of the Batch Markovian Arrival Process Subject to Renewal Generated Geometric Catastrophes. [PDF]
Int J Appl Comput Math, 2021 In this paper, we consider a stochastic model in which the population grows according to the batch Markovian arrival process and is subjected to renewal generated geometric catastrophes. Our analytical work starts from the vector generating function (VGF) of the population size at post-catastrophe epoch.
Kumar N, Gupta UC, Singh G.
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The Batch Markovian Arrival Process Subject to Renewal Generated Geometric Catastrophes
Stochastic Models, 2007 We deal with a population of individuals that grows stochastically according to a batch Markovian arrival process and is subject to renewal generated geometric catastrophes. Our interest is in the semi-regenerative process that describes the population size at arbitrary times.
Antonis Economou, A Gómez-Corral
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Analysis of an infinite-buffer batch-size-dependent service queue with Markovian arrival process
Annals of Operations Research, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Pradhan, U C Gupta, Gupta U C
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Stationary characteristics of unreliable queueing system with a batch Markovian arrival process
Informatika, 2019 Unreliable queuing systems are of considerable interest both in mathematical terms and for applications. Systems with stationary Poisson flows of customers and breakdowns and exponentially distributed service and repair times are mainly considered.
V. I. Klimenok
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Applied Mathematical Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A D Banik
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Informatika, 2016 In the paper, a queueing system with unreliable server and so called «cold» redundancy is analyzed. The system consists of an infinite buffer, the main unreliable server and the reliable reserve server.
V. I. Klimenok
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Compound Binomial Model with Batch Markovian Arrival Process [PDF]
Mathematical Problems in Engineering, 2020 A compound binomial model with batch Markovian arrival process was studied, and the specific definitions are introduced. We discussed the problem of ruin probabilities. Specially, the recursion formulas of the conditional finite-time ruin probability are obtained and the numerical algorithm of the conditional finite-time nonruin probability is proposed.
Fang Jin, Chengxun Wu, Hui Ou
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