Document Type
Article
Publication Title
Journal of Applied Mathematics and Stochastic Analysis
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.
DOI
10.1155/S1048953391000163
Publication Date
1991
Recommended Citation
Dshalalow, J. (1991). A single-server queue with random accumulation level. Journal of Applied Mathematics and Stochastic Analysis, 4(3), 203.