The idle period of the finite \(G/M/1\) queue with an interpretation in risk theory

DOI10.1007/S11134-010-9168-ZzbMath1201.60087OpenAlexW2129125448MaRDI QIDQ967287

Andreas Löpker, David Perry

Publication date: 28 April 2010

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

Full work available at URL: https://doi.org/10.1007/s11134-010-9168-z

zbMATH Keywords

workloadrisk processlevel crossingdeficit at ruinsample path analysisidle periodfinite \(G/M/1\)finite \(M/G/1\)

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (5)

Queues and Risk Models with Simultaneous Arrivals ⋮ Parisian ruin in the dual model with applications to the \(G/M/1\) queue ⋮ Age-based Markovian approximation of the G/M/1 queue ⋮ The principal-agent problem for service rate event-dependency ⋮ A Duality Approach to Queues with Service Restrictions and Storage Systems with State-Dependent Rates

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