On the rate of convergence to the stationary distribution in the single-server queuing systems

DOI10.1134/S0005117913100032zbMath1297.90021MaRDI QIDQ462077

Alexander Yu. Veretennikov

Publication date: 15 October 2014

Published in: Automation and Remote Control (Search for Journal in Brave)

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (3)

On Strong Bounds of Rate of Convergence for Regenerative Processes ⋮ On the rate of convergence for infinite server Erlang-Sevastyanov's problem ⋮ Coupling Method for Backward Renewal Process and Lorden’s Inequality

Cites Work

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• The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence
• On the estimation of mixing coefficients for a multiphase service system
• On stability of state-dependent queues and acyclic queueing networks
• Exponential ergodicity in Markovian queueing and dam models
• An elementary proof of the strong law of large numbers
• Work-modulated queues with applications to storage processes
• Geometric ergodicity in a class of denumerable Markov chains
• Exponential Ergodicity of the $M/G/1$ Queue

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