Upper bounds on the rate of convergence for constant retrial rate queueing model with two servers

DOI10.1007/s00362-018-1014-0zbMath1408.60087OpenAlexW2805246943WikidataQ129730891 ScholiaQ129730891MaRDI QIDQ1757239

Alexander Sipin, Evsey Morozov, Galina Shilova, Yacov Satin, Ruslana Nekrasova, Ksenia Kiseleva, Anna Sinitcina, Alexander I. Zejfman, I. A. Gudkova

Publication date: 3 January 2019

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-018-1014-0

zbMATH Keywords

rate of convergenceretrial queueing systemconstant retrial ratetwo-server model

Mathematics Subject Classification ID

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

Cites Work

• Sufficient stability conditions for multi-class constant retrial rate systems
• Nonstationary queues: estimation of the rate of convergence
• Retrial queues with collision arising from unslotted CSMA/CD protocol
• An \(M/M/1\) retrial queue with control policy and general retrial times
• Stationary analysis of the characteristics of the \(M/M/2\) queue with constant repeated attempts
• A G/M/1-queue with exponential retrial
• Some universal limits for nonhomogeneous birth and death processes
• On tandem blocking queues with a common retrial queue
• RETRIAL NETWORKS WITH FINITE BUFFERS AND THEIR APPLICATION TO INTERNET DATA TRAFFIC
• Bounds and Asymptotics for the Rate of Convergence of Birth-Death Processes
• STABILITY ANALYSIS AND SIMULATION OF N-CLASS RETRIAL SYSTEM WITH CONSTANT RETRIAL RATES AND POISSON INPUTS
• Analysis of multiserver queues with constant retrial rate

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