Title :
Computer-controlled queuing system with service interruptions
Author :
Chan, W.C. ; Chung, W.K.
Author_Institution :
University of Calgary, Department of Electrical Engineering, Calgary, Canada
fDate :
9/1/1972 12:00:00 AM
Abstract :
The paper presents a detailed study of a computer-controlled queuing system with Poisson input, first-come-first-served queue discipline and multiple-exponential servers that are subject to breakdowns and repairs. A generating function for the state probabilities of the system and a necessary and sufficient condition for the existence of statistical equilibrium for the system are derived. Further, a formula for the determination of the first waiting-time distribution in the system is obtained by the use of the theory of Markov chains.
Keywords :
computer applications; control engineering applications of computers; maintenance engineering; queueing theory; Markov chains; Poisson input; control engineering applications of computers; first waiting time distribution; probability; queueing theory; service interruptions;
Journal_Title :
Electrical Engineers, Proceedings of the Institution of
DOI :
10.1049/piee.1972.0244
