Numerical analysis of multi-server queues with deterministic service and special phase-type arrivals

DOI10.1007/BF01918628zbMath0601.90051OpenAlexW2164547887MaRDI QIDQ3737167

M. H. van Hoorn

Publication date: 1986

Published in: Zeitschrift für Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01918628

zbMATH Keywords

queue size distributionsteady state probabilitiescalculation of probabilistic characteristicsdeterministic serviceinfinite capacity multi-server queuesphase-type arrivals

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Probabilistic methods, stochastic differential equations (65C99)

Related Items (5)

Computational procedures for a class of GI/D/\(k\) systems in discrete time ⋮ Exact and approximate numerical solutions to steady-state single-server queues: \(M/G/1\) -- a unified approach ⋮ Exact and approximate numerical solutions of steady-state distributions arising in the queue \(GI/G/1\) ⋮ Unnamed Item ⋮ An algorithm for Ph/Ph/c queues

Cites Work

• Unnamed Item
• Steady state solution of the \(E^ k/D/r\) queueing model
• Algorithms for the multi-server queue with phase type service
• Asymptotic exponentiality of the tail of the waiting-time distribution in a Ph/Ph/C queue

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