Abstract
A multiserver queue fed by a discrete autoregressive process of order 1 was analyzed. The stationary distributions of the system size and the waiting time in a multiserver queue was obtained by using matrix analytic methods and the theory of Markov regenerative processes. It was found that the distributions for the system size and the waiting time increase stochastically when either the decay rate of the autocorrelation function of the input traffics or the variance of a batch arriving in a slot increases.
Original language | English |
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Pages (from-to) | 85-93 |
Number of pages | 9 |
Journal | Operations Research Letters |
Volume | 32 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2004 Jan |
Bibliographical note
Funding Information:This work was supported by Korea Research Foundation Grant (KRF-2001-042-D00009).
Keywords
- DAR(1)
- Markov regenerative theory
- Matrix analytic methods
- Multiserver ATM multiplexer
- Multiserver queue
- Performance analysis
- Teleconference traffic
ASJC Scopus subject areas
- Software
- Management Science and Operations Research
- Industrial and Manufacturing Engineering
- Applied Mathematics