Title :
Computer-controlled queues in series
Author_Institution :
Orient Systems Engineering & Development Ltd., Ottawa, Canada
fDate :
11/1/1975 12:00:00 AM
Abstract :
The paper presents an investigation of a computer-controlled queuing system with N queues in series and Mi, 1 ¿ i ¿ N, servers of negative exponential service-time distribution serving the ith queue. A generating function for stationary-stateprobabilities of necessary and sufficient conditions for the existence of statistical equilibrium for, and a formula for thedetermination of, the waiting-time distribution in the system are obtained.
Keywords :
queueing theory; time-sharing programs; computer control; generating function; probabilities; queueing system; statistical equilibrium; waiting time distribution;
Journal_Title :
Electrical Engineers, Proceedings of the Institution of
DOI :
10.1049/piee.1975.0298