Rate of convergence to stationarity of the system M/M/N/N+R

• Erik A. van Doorn ^[1]
  1. [1] University of Twente

     University of Twente

     Países Bajos

     
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 19, Nº. 2, 2011, págs. 336-350
• Idioma: inglés
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• Resumen

  • 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 R, N and the arrival rate λ, allowing λ to be a function of N.