Volume 22, Issue 3 (9-2025)                   jor 2025, 22(3): 1-22 | Back to browse issues page

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Shams M, Ghafoori H. Queuing Systems with Discrete Time Series Input and Application in Asynchronous Transmission Networks. jor 2025; 22 (3) :1-22
URL: http://jamlu.liau.ac.ir/article-1-2087-en.html
Queuing Systems with Discrete Time Series Input and Application in Asynchronous Transmission Networks
M. Shams * , H. Ghafoori
Department of Statistics, University of Kashan, Kashan, Iran , mehdi_shams1357@yahoo.com
Abstract:   (48 Views)
Discrete time series models are often used to count events at discrete times. In this paper, the stationary distribution of system size and the waiting time distribution of queuing systems whose input is a time series are calculated. In finding the steady state probabilities of queuing systems, it is recommended to use matrix analysis methods that replace the generating function and Laplace transform methods. Using this tool, hard numerical calculations are made easier and are used in practical applications. Also, the applications of these models in telecommunications and communications, especially asynchronous transmission networks, are analyzed.
 
Keywords: Time Series Models, Queuing Systems, Markov Renewal Process, Asynchronous Transmission Networks.
     
Type of Study: Research | Subject: Special
Received: 2025/03/30 | Accepted: 2025/09/5
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