Convexity Results for the Erlang Delay and Loss Formulae When the Server Utilization Is Held Constant

DOI10.1287/OPRE.1110.0957zbMath1241.90033OpenAlexW2028724497MaRDI QIDQ2893916

Arie Harel

Publication date: 26 June 2012

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

Full work available at URL: https://doi.org/10.1287/opre.1110.0957

zbMATH Keywords

optimizationconvexityprobabilityqueuesstochastic model applicationsmathematicsmarginal analysisErlang loss formula\(M/M/s\) queueErlang delay formula\(M/G/s/s\) queuedesign of queues

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

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Threshold properties of the \(M/M/1\) queue under T-policy with applications ⋮ Pooling in tandem queueing networks with non-collaborative servers ⋮ Optimal workload allocation in closed queueing networks with state dependent queues ⋮ Optimal service‐capacity allocation in a loss system

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