Loading parameter for a queuing system

DOI10.1007/S10958-013-1643-8zbMath1305.90125OpenAlexW2046944818MaRDI QIDQ487114

I. A. Soloviev, Alexander I. Zejfman

Publication date: 19 January 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1643-8

Mathematics Subject Classification ID

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

Cites Work

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• Nonstationary Markovian queues
• Explicit bounds of the first eigenvalue.
• Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes
• On the convergence to stationarity of birth-death processes
• Conditions for exponential ergodicity and bounds for the decay parameter of a birth-death process
• Some estimates of the rate of convergence for birth and death processes

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