On the GI/M/\(\infty\) service system with batch arrivals and different types of service distributions

DOI10.1007/BF01159473zbMath0675.60081MaRDI QIDQ1122238

Andreas Brandt

Publication date: 1989

Published in: Queueing Systems (Search for Journal in Brave)

zbMATH Keywords

recurrence relationbatch arrivalsbinomial momentsinfinite queueing system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (2)

Queue lengths in the \(GI^ X/M^ R/\infty\) service system ⋮ Infinite-server queueing tandem with Markovian arrival process and service depending on its state

Cites Work

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• On the GI/M/\(\infty\) queue with batch arrivals of constant size
• On stationary queue length distributions for G/M/s/r queues
• On the generalization of Erlang's formula
• Bounds for the Probability of Wait in M/G/s Queues
• On stochastie processes with an embedded marked point process
• On a telephone traffic system with several kinds of service distributions

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