On the speed of convergence to stationarity of the Erlang loss system View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2009-12

AUTHORS

Erik A. van Doorn, Alexander I. Zeifman

ABSTRACT

We consider the Erlang loss system, characterized by N servers, Poisson arrivals and exponential service times, and allow the arrival rate to be a function of N. We discuss representations and bounds for the rate of convergence to stationarity of the number of customers in the system, and display some bounds for the total variation distance between the time-dependent and stationary distributions. We also pay attention to time-dependent rates. More... »

PAGES

241

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11134-009-9134-9

DOI

http://dx.doi.org/10.1007/s11134-009-9134-9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1039426913


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