Journal of Approximation Theory
On the transient behaviour of the Erlang loss model: heavy usage asymptotics
SIAM Journal on Applied Mathematics
Matrix analysis and applied linear algebra
Matrix analysis and applied linear algebra
Nonstationary Queues: Estimation of the Rate of Convergence
Queueing Systems: Theory and Applications
Representations for the extreme zeros of orthogonal polynomials
Journal of Computational and Applied Mathematics
On the nonstationary Erlang loss model
Automation and Remote Control
Problems of Information Transmission
M/G/∞ transience, and its applications to overload detection
Performance Evaluation
Stability bounds for Mt/Mt/N/N + R queue
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Full length article: Asymptotics for the ratio and the zeros of multiple Charlier polynomials
Journal of Approximation Theory
Full length article: Asymptotics for the ratio and the zeros of multiple Charlier polynomials
Journal of Approximation Theory
On the rate of convergence for infinite server Erlang---Sevastyanov's problem
Queueing Systems: Theory and Applications
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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.