Title :
Computer-controlled queuing systems with feedback
Author :
Chan, W.C. ; Chung, W.K.
Author_Institution :
University of Calgary, Department of Electrical Engineering, Calgary, Canada
fDate :
10/1/1971 12:00:00 AM
Abstract :
A generalised approach is presented for the study of a computer-controlled queuing system with general input, `first-come-first-served¿ queue discipline and multiple servers with feedback for either exponential servers or constant service times. Two generating functions for the state probabilities of the system corresponding to the two different types of service times are derived. Further, necessary and sufficient conditions for the existence of statistical equilibrium of the computer-controlled queuing system are obtained from the generating functions. The results obtained here generalise many results previously obtained by other workers.
Keywords :
communications applications of computers; computation theory; feedback; queueing theory; computer control; congestion phenomenon; constant server; existence of stationary state probability distributions; exponential server; feedback; finite number of facilities; first come first served queue discipline; generalised necessary and sufficient conditions; generating functions; information processing systems; queueing system with general input; state probabilities; two different service times;
Journal_Title :
Electrical Engineers, Proceedings of the Institution of
DOI :
10.1049/piee.1971.0257