Imbedded and non-imbedded stationary characteristics of queueing systems with varying service rate and point processes

DOI10.2307/3212969zbMath0435.60094OpenAlexW4230822778MaRDI QIDQ3875069

Volker Schmidt, Dieter König

Publication date: 1980

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3212969

zbMATH Keywords

waiting timequeue lengthintensity conservation principlevarying service ratecustomer and time-stationary probabilitiesstationary queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (9)

Conditional intensities and coincidence properties of stochastic processes with embedded point processes ⋮ Further remarks on queueing network theory ⋮ Qualitative and asymptotic properties of stochastic integrals related to random marked point processes ⋮ Characteristics of queueing systems observed at events and the connection between stochastic intensity and Palm probability ⋮ EPSTA: The coincidence of time-stationary and customer-stationary distributions ⋮ Sample-path analysis of processes with imbedded point processes ⋮ A review of \(L=\lambda W\) and extensions ⋮ Steady state of loss systems with a superposition of inputs ⋮ Rate conservation laws: A survey

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