Distributional form of Little's law for FIFO queues with multiple Markovian arrival streams and its application to queues with vacations

DOI10.1023/A:1011088032716zbMath0979.60094OpenAlexW1479759336MaRDI QIDQ5934395

Tetsuya Takine

Publication date: 19 June 2001

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

Full work available at URL: https://doi.org/10.1023/a:1011088032716

zbMATH Keywords

waiting timejoint queue length distributionLittle's lawmultiple Markovian arrival streamsvacation queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

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Queue-length balance equations in multiclass multiserver queues and their generalizations ⋮ A note on the distributional Little's law for discrete-time queues with D-MAP arrivals and its application ⋮ Matrix Product-Form Solutions for LCFs Preemptive Service Single-Server Queues with Batch Markovian Arrival Streams ⋮ A Spectral Method for a Nonpreemptive PriorityBMAP/G/1 QUEUE

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