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Computer-controlled queuing system with switching network and blocked customers rejoin end of queue

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1 Author(s)
Chung, W.K. ; Orient Systems Engineering & Development Ltd., Ottawa, Canada

The paper presents a detailed study of a computer-controlled queuing system with Poisson input, firstcome first-served queue discipline, multiple exponential servers, switching network and blocked customers feedback to the end of the queue. A generating function for the stationary-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 waiting-time distribution in the system is obtained by the use of the theory of Markov chains.

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Electrical Engineers, Proceedings of the Institution of  (Volume:121 ,  Issue: 10 )