Affiliation:
1. Department of Applied Mathematics, Florida Institute of Technology, Melbourne 32901, FL, USA
Abstract
The author studies the queueing process in a single-server bulk queueing system. Upon completion of a previous service, the server can take a group
of random size from customers that are available. Or, the server can wait until
the queue attains a desired level.
The author establishes an ergodicity criterion for both the queueing
process with continuous time parameter and the imbedded process. Under this
criterion, the author obtains explicit formulas for the stationary distributions
of both processes by using semi-regenerative techniques.
Subject
Applied Mathematics,Modelling and Simulation,Statistics and Probability
Cited by
11 articles.
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