The analysis of a queue arising in overflow models

A methodology is presented for analyzing a queuing submodel which frequently arises in the study of overflow models. In this submodel a finite capacity, multiserver queue with exponentially distributed service times, and arriving traffic consisting of a Poisson parcel and several overflow parcels, a...

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Bibliographic Details
Published in:IEEE transactions on communications 1989-04, Vol.37 (4), p.367-372
Main Author: Meier-Hellstern, K.S.
Format: Article
Language:English
Subjects:
Applied sciences
Communications Society
Computer networks
Exact sciences and technology
Network servers
Queueing analysis
Routing
State-space methods
Steady-state
Systems, networks and services of telecommunications
Telecommunication traffic
Telecommunications
Telecommunications and information theory
Teletraffic
Traffic control
Yield estimation
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Summary:A methodology is presented for analyzing a queuing submodel which frequently arises in the study of overflow models. In this submodel a finite capacity, multiserver queue with exponentially distributed service times, and arriving traffic consisting of a Poisson parcel and several overflow parcels, are assumed. By modeling the overflow parcels as interrupted Poisson processes, an exact queuing analysis is possible. The analysis yields the steady-state queue length distribution, and for each input parcel: (1) the steady-state queue length distribution at arrivals; (2) the probability that an arriving call is blocked (parcel blocking); and (3) the waiting time distribution of an arriving call, in addition to a complete characterization of the overflow due to each parcel.< >
ISSN:0090-6778
1558-0857
DOI:10.1109/26.20117