On the speed of convergence to stationarity of the Erlang loss system

DOI10.1007/s11134-009-9134-9zbMath1209.90122OpenAlexW2125579366MaRDI QIDQ2269487

Erik A. van Doorn, Alexander I. Zejfman

Publication date: 17 March 2010

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11134-009-9134-9

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (14)

On exponential convergence of dynamic queueing network and its applications ⋮ On the nonstationary Erlang loss model ⋮ On the rate of convergence to stationarity of the M/M/\(n\) queue in the Halfin-Whitt regime ⋮ Rate of convergence to stationarity of the system \( M / M / N / N + R \) ⋮ On the Study of Forward Kolmogorov System and the Corresponding Problems for Inhomogeneous Continuous-Time Markov Chains ⋮ Asymptotics for the ratio and the zeros of multiple Charlier polynomials ⋮ Asymptotics for the ratio and the zeros of multiple Charlier polynomials ⋮ On the rate of convergence for infinite server Erlang-Sevastyanov's problem ⋮ Zeros of classical orthogonal polynomials of a discrete variable ⋮ On quantitative convergence to quasi-stationarity ⋮ The rate of convergence to stationarity forM/G/1 models with admission controls via coupling ⋮ On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems ⋮ A symmetric generalization of Sturm–Liouville problems in discrete spaces ⋮ Birth and death processes in interactive random environments

Cites Work

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• Heavy-Traffic Limits for Queues with Many Exponential Servers
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• Bound on the Extreme Zeros of Orthogonal Polynomials
• A note on the rate of convergence to equilibrium for Erlang's model in the subcritical case
• On the rates of convergence of Erlang's model
• On the Transient Behavior of the Erlang Loss Model: Heavy Usage asymptotics
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