Convergence Rate Estimates for Some Models of Queuing Theory, and Their Applications
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Publication:5132131
DOI10.1007/978-3-030-56323-3_4zbMath1452.90145OpenAlexW3094022990MaRDI QIDQ5132131
Anastasia Kryukova, Ksenia Kiseleva, Yacov Satin, Galina Shilova, Alexander I. Zejfman
Publication date: 9 November 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-56323-3_4
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Cites Work
- \(M^X/M/c\) queue with catastrophes and state-dependent control at idle time
- A note on birth-death processes with catastrophes
- Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services
- 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
- Ergodicity and truncation bounds for inhomogeneous birth and death processes with additional transitions from and to origin
- Markovian bulk-arriving queues with state-dependent control at idle time
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