Analysis of queueing system with discrete autoregressive arrivals having DML as marginal distribution
In this paper we analyze DAR(1)/D/s Queue with Discrete Mittag-Leffler [DML(α)] as marginal distribution. Simulation study of the sample path of the arrival process is conducted. For this queueing system, the stationary distribution of the system size and the waiting time distribution of an arbitrar...
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Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna
2013
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ftdatacite:10.6092/issn.1973-2201/4327 2023-05-15T16:01:21+02:00 Analysis of queueing system with discrete autoregressive arrivals having DML as marginal distribution Abraham, Bindu Abraham Jose, Kanichukattu Korakutty 2013 https://dx.doi.org/10.6092/issn.1973-2201/4327 http://rivista-statistica.unibo.it/article/view/4327 en eng Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna Discrete Autoregressive process of order 1[DAR1]; Discrete Mittag-Leer distribution DML;multiserver queue; ATM multiplexer; Matrix analytic methods Text Article article-journal ScholarlyArticle 2013 ftdatacite https://doi.org/10.6092/issn.1973-2201/4327 2021-11-05T12:55:41Z In this paper we analyze DAR(1)/D/s Queue with Discrete Mittag-Leffler [DML(α)] as marginal distribution. Simulation study of the sample path of the arrival process is conducted. For this queueing system, the stationary distribution of the system size and the waiting time distribution of an arbitrary packet is obtained with the help of matrix analytic methods and Markov regenerative theory. The quantitative effect of the stationary distribution on system size, waiting time and the autocorrelation function as well as the parameters of the input traffic is illustrated empirically. The model is applied to a real data on the passenger arrivals at a subway bus terminal in Santiago de Chile and is established that the model well suits this data. : Statistica, Vol 73, No 3 (2013) Text DML DataCite Metadata Store (German National Library of Science and Technology) |
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DataCite Metadata Store (German National Library of Science and Technology) |
op_collection_id |
ftdatacite |
language |
English |
topic |
Discrete Autoregressive process of order 1[DAR1]; Discrete Mittag-Leer distribution DML;multiserver queue; ATM multiplexer; Matrix analytic methods |
spellingShingle |
Discrete Autoregressive process of order 1[DAR1]; Discrete Mittag-Leer distribution DML;multiserver queue; ATM multiplexer; Matrix analytic methods Abraham, Bindu Abraham Jose, Kanichukattu Korakutty Analysis of queueing system with discrete autoregressive arrivals having DML as marginal distribution |
topic_facet |
Discrete Autoregressive process of order 1[DAR1]; Discrete Mittag-Leer distribution DML;multiserver queue; ATM multiplexer; Matrix analytic methods |
description |
In this paper we analyze DAR(1)/D/s Queue with Discrete Mittag-Leffler [DML(α)] as marginal distribution. Simulation study of the sample path of the arrival process is conducted. For this queueing system, the stationary distribution of the system size and the waiting time distribution of an arbitrary packet is obtained with the help of matrix analytic methods and Markov regenerative theory. The quantitative effect of the stationary distribution on system size, waiting time and the autocorrelation function as well as the parameters of the input traffic is illustrated empirically. The model is applied to a real data on the passenger arrivals at a subway bus terminal in Santiago de Chile and is established that the model well suits this data. : Statistica, Vol 73, No 3 (2013) |
format |
Text |
author |
Abraham, Bindu Abraham Jose, Kanichukattu Korakutty |
author_facet |
Abraham, Bindu Abraham Jose, Kanichukattu Korakutty |
author_sort |
Abraham, Bindu Abraham |
title |
Analysis of queueing system with discrete autoregressive arrivals having DML as marginal distribution |
title_short |
Analysis of queueing system with discrete autoregressive arrivals having DML as marginal distribution |
title_full |
Analysis of queueing system with discrete autoregressive arrivals having DML as marginal distribution |
title_fullStr |
Analysis of queueing system with discrete autoregressive arrivals having DML as marginal distribution |
title_full_unstemmed |
Analysis of queueing system with discrete autoregressive arrivals having DML as marginal distribution |
title_sort |
analysis of queueing system with discrete autoregressive arrivals having dml as marginal distribution |
publisher |
Dep. of Statistical Sciences "Paolo Fortunati", Università di Bologna |
publishDate |
2013 |
url |
https://dx.doi.org/10.6092/issn.1973-2201/4327 http://rivista-statistica.unibo.it/article/view/4327 |
genre |
DML |
genre_facet |
DML |
op_doi |
https://doi.org/10.6092/issn.1973-2201/4327 |
_version_ |
1766397255754973184 |