Diffusion approximations for the cooperative service of voice and data messages
- 1 September 1981
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 18 (3) , 660-671
- https://doi.org/10.2307/3213320
Abstract
A diffusion approximation is developed for a voice and data communication system. Voice traffic operates as an M/M/v/v loss system, while data is a Markovian queueing system with a random number of channels assigned. The data process is shown to be approximated by a certain Wiener process with reflecting barrier at 0. System behavior is described using this approximation. The methodology is based on the work of Burman (1979).Keywords
This publication has 6 references indexed in Scilit:
- Data Traffic Performance of Integrated Circuit- and Packet-Switched Multiplex StructureIEEE Transactions on Communications, 1980
- A Queueing Analysis of an Integrated Telecommunications system with PrioritiesINFOR: Information Systems and Operational Research, 1977
- Multichannel queueing systems with heterogeneous classes of arrivalsNaval Research Logistics Quarterly, 1976
- A Model for Evaluating the Performance of an Integrated Circuit- and Packet-Switched Multiplex StructureIEEE Transactions on Communications, 1976
- A Priority Queueing Model for a Mixture of Two Types of CustomersSIAM Journal on Applied Mathematics, 1972
- Steady-State Distribution for the Buffer Content of an $M /G/1$ Queue with Varying Service RateSIAM Journal on Applied Mathematics, 1972