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Rate of convergence to stationarity of the system M/M/N/N+R
Authors:Erik A. van Doorn
Affiliation:1.Department of Applied Mathematics,University of Twente,Enschede,The Netherlands
Abstract:We consider the M/M/N/N+R service system, characterized by N servers, R waiting positions, Poisson arrivals and exponential service times. We discuss representations and bounds for the rate of convergence to stationarity of the number of customers in the system, and study its behaviour as a function of RN and the arrival rate λ, allowing λ to be a function of N.
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