Stochastic processes with imbedded marked point processes (pmp) and thcir application in queneing

DOI10.1080/02331937808842475zbMath0393.60047OpenAlexW2083624978MaRDI QIDQ4176225

Dietrich Stoyan, Tomasz Rolski, Dieter König, Volker Schmidt

Publication date: 1978

Published in: Mathematische Operationsforschung und Statistik. Series Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331937808842475

zbMATH Keywords

Stationary DistributionQueueing SystemsIntensity Conservation PrincipleMarked Point ProcessesRenewal Points

Mathematics Subject Classification ID

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

Related Items

On the relationship between work load and waiting time in single server queues with batch inputs ⋮ Qualitative and asymptotic properties of stochastic integrals related to random marked point processes ⋮ Stationary processes with piecewise monotonous trajectories ⋮ Rate conservation principle for discrete-time queues ⋮ Sample path analysis of level crossings for the workload process ⋮ Application of level crossing analysis to discrete state processes in queueing systems ⋮ Stationary queuing systems with dependencies ⋮ Rate conservation laws: A survey