Algorithmic methods for multi-server queues with group arrivals and exponential services

DOI10.1016/0377-2217(81)90259-9zbMath0472.60085OpenAlexW2025846320MaRDI QIDQ1157844

David E. Baily, Marcel F. Neuts

Publication date: 1981

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(81)90259-9

zbMATH Keywords

numerical examplesgroup arrivalsinterarrival time distribution of phase type

Mathematics Subject Classification ID

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

Related Items (4)

Matrix-geometric solution of a multiserver queue with Markovian group arrivals and Coxian servers ⋮ Iterative solution of the \(M^{[x}/C_ 2/S/N\) queues] ⋮ Some results for the queues \(M^ X/M/c\) and \(GI^ X/G/c\) ⋮ Analysis of the \(GI^ X/M/c\) model

Cites Work

• Computational uses of the method of phases in the theory of queues
• On the Relative Waiting Times in the GI/M/s and the GI/M/1 Queueing Systems
• Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector
• A Queue with Simultaneous Arrivals and Erlang Service Distribution
• On the Optimality of Single-Server Queuing Systems
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