Exponential expansion for the tail of the waiting-time probability in the single-server queue with batch arrivals

DOI10.2307/1427365zbMath0664.60098OpenAlexW2323328471MaRDI QIDQ3814522

Jan-Kees C. W. van Ommeren

Publication date: 1988

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

Full work available at URL: https://doi.org/10.2307/1427365

zbMATH Keywords

phase-type distributionsdecay parameterwaiting- time distributionexponential expansionsingle-server queue with batch arrivals

Mathematics Subject Classification ID

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

Related Items (6)

The queue length in an \(M/G/1\) batch arrival retrial queue ⋮ Computing steady-state queueing-time distributions of single-server queues:GI X /M/1 ⋮ Steady-State Distributions in Computable Form for the Bulk-Arrival Single-Server Queue ⋮ Asymptotic expansions for waiting time probabilities in an \(M/G/1\) queue with long-tailed service time ⋮ A LCFS finite buffer model with batch input and non-exponential services ⋮ Rare events in queueing systems -- A survey

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