On a class of Markovian queuing systems described by inhomogeneous birth-and-death processes with additional transitions
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Publication:512492
DOI10.1134/S1064562416040177zbMath1358.60100MaRDI QIDQ512492
Ya. A. Satin, V. Yu. Korolev, A. V. Korotysheva, Vladimir Bening, Alexander I. Zejfman
Publication date: 27 February 2017
Published in: Doklady Mathematics (Search for Journal in Brave)
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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Cites Work
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- Ergodicity and perturbation bounds for inhomogeneous birth and death processes with additional transitions from and to the origin
- The decay parameter and invariant measures for Markovian bulk-arrival queues with control at idle time
- Nonstationary queues: estimation of the rate of convergence
- Upper and lower bounds on the rate of convergence for nonhomogeneous birth and death processes
- Markovian bulk-arrival and bulk-service queues with state-dependent control
- On perturbation bounds for continuous-time Markov chains
- Some universal limits for nonhomogeneous birth and death processes
- Density-dependent birth and death process with state-dependent immigration
- The M/M/c queue with mass exodus and mass arrivals when empty
- TheM/M/1 queue with mass exodus and mass arrivals when empty
- Markovian bulk-arriving queues with state-dependent control at idle time
- Perturbation Bounds forMt/Mt/NQueue with Catastrophes