Weak convergence in multiphase queues

DOI10.1007/BF00971915zbMath0661.60113MaRDI QIDQ1113217

Saulius Minkevičius

Publication date: 1986

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

waiting timeConditions of weak convergencediffusion process with reflectionK-phase queueing system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Diffusion processes (60J60) Convergence of probability measures (60B10)

Related Items (12)

A law of the iterated logarithm for the sojourn time process in queues in series ⋮ On the full idle time in multiphase queueing systems ⋮ On the law of the iterated logarithm in multiphase queueing systems ⋮ A law of the iterated logarithm for global values of waiting time in multiphase queues. ⋮ Heavy traffic limits for the extreme waiting time in multi-phase queueing systems ⋮ On extreme values in open queueing networks ⋮ Unnamed Item ⋮ Analysis of the virtual waiting time in multiphase queues ⋮ About the cumulative idle time in multiphase queues ⋮ Complex transient phenomena in multiphase queuing systems ⋮ Complex transient phenomena in multiphase queuing systems. II ⋮ On global values of virtual waiting time of a customer in open queueing networks

Cites Work

• Open Queueing Networks in Heavy Traffic
• Weak convergence in queueing theory
• State of the Art—Networks of Queues: A Survey of Weak Convergence Results
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