On the estimates of average characteristics of some birth and death processes

DOI10.1007/s10958-016-3217-zzbMath1380.60080OpenAlexW2563054128MaRDI QIDQ521128

Ya. A. Satin, Alexander I. Zejfman

Publication date: 6 April 2017

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

Full work available at URL: https://doi.org/10.1007/s10958-016-3217-z

zbMATH Keywords

birth-and-death processesqueueing systems theory

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• On certain average characteristics of finite continuous-time Markov chains
• A sample path analysis of the \(M_t/M_t/c\) queue
• An analysis of the modified offered-load approximation for the nonstationary Erlang loss model
• On the approximation of the stationary distribution of a monotone stochastic Markov chain
• Diffusion approximation to a queueing system with time-dependent arrival and service rates
• Some universal limits for nonhomogeneous birth and death processes
• Strong Approximations for Time-Dependent Queues

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