A Multi-server Queue with Markovian Arrivals and Group Services with Thresholds
Document Type
Article
Publication Date
10-1-1993
Publication Title
Naval Research Logistics
Abstract
We consider a multiserver queueing system in which arrivals are governed by a Markovian arrival process. The system is attended by K identical exponential servers. Under a dynamic probabilistic service rule which depends on two threshold parameters, this model is studied as a Markov process. The steady‐state probability vector is shown to be of (modified) matrix‐geometric type. Efficient algorithmic procedures for the computation of the steady‐state probability vector and some key performance measures of the system are developed. Some numerical examples are discussed.
Volume
40
Issue
6
First Page
811
Last Page
827
DOI
10.1002/1520-6750(199310)40:6<811::AID-NAV3220400606>3.0.CO;2-R
ISSN
Online ISSN:1520-6750
Rights
© 1993 Wiley Periodicals, Inc., A Wiley Company
Recommended Citation
Chakravarthy, Srinivas R. and Alfa, Attahiru Sule, "A Multi-server Queue with Markovian Arrivals and Group Services with Thresholds" (1993). Industrial & Manufacturing Engineering Publications. 91.
https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/91
