Uniform Cesaro limit theorems for synchronous processes with applications to queues

DOI10.1016/0304-4149(92)90135-DzbMath0743.60023OpenAlexW2051018438MaRDI QIDQ1185782

Karl Sigman, Peter W. Glynn

Publication date: 28 June 1992

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(92)90135-d

zbMATH Keywords

renewal theorypoint processesqueueing modelsCesaro convergenceHarris recurrent Markov processespositive recurrent synchronous process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Queueing theory (aspects of probability theory) (60K25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (5)

Range-renewal processes: SLLNs and power laws ⋮ On time- and cycle-stationarity ⋮ Heavy-traffic limits for nearly deterministic queues: Stationary distributions ⋮ Marked point processes in discrete time ⋮ On the modified Palm version

Cites Work

• The stability of open queueing networks
• Renewal theory for m-dependent variables
• Stationary random processes associated with point processes
• One-Dependent Regenerative Processes and Queues in Continuous Time
• General Irreducible Markov Chains and Non-Negative Operators
• [https://portal.mardi4nfdi.de/wiki/Publication:5564837 Mesure invariante sur les classes r�currentes des processus de Markov]
• Semi-stationary processes
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