Abstract
A cyclic queueing network with two servers and a finite number of customers is studied. The service times for server 1 form an earma(1,1) process (exponential mixed autoregressive moving average process both of order 1) which is a sequence of positively correlated exponential random variables; the process in general is not Markovian. The service times for the other server are independent with a common exponential distribution. Limiting results for the number of customers in queue and the virtual waiting time at server 1 are obtained. Comparisons are made with the case of independent exponential service times for server 1.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
21 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Autoregressive-Type Time Series of Counts;Non-Gaussian Autoregressive-Type Time Series;2021
2. Basics of Time Series;Non-Gaussian Autoregressive-Type Time Series;2021
3. Exponential Autoregressive Models;Wiley StatsRef: Statistics Reference Online;2015-03-31
4. Exponential Autoregressive Models;Wiley StatsRef: Statistics Reference Online;2014-09-29
5. Modeling full-length VBR video using Markov-renewal-modulated TES models;IEEE Journal on Selected Areas in Communications;1998-06