Workload and busy period for \(\mathrm{M}/\mathrm{GI}/1\) with a general impatience mechanism

DOI10.1007/S11134-013-9373-7zbMath1304.60103OpenAlexW2111304714MaRDI QIDQ386348

Andreas Brandt, Manfred Brandt

Publication date: 9 December 2013

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

Full work available at URL: https://doi.org/10.1007/s11134-013-9373-7

zbMATH Keywords

workloadbusy periodimpatient customersphase-type distributionssteady state analysis\(\mathrm{M}/\mathrm{GI}/1 + \mathrm{GI}\)\(\mathrm{M}/\mathrm{GI}/1 + \mathrm{PH}\)first come first serve policywaiting time dependent service

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 (7)

Server assignment policies in queues with customer abandonments ⋮ A computational algorithm for the loss probability in the M/G/1+PH queue ⋮ Analysis of \(M^{ X}/ G/1\) queues with impatient customers ⋮ Analysis of the loss probability in the \(\mathrm{M}/\mathrm{G}/1+\mathrm{G}\) queue ⋮ Comparison results for M/G/1 queues with waiting and sojourn time deadlines ⋮ Customers' abandonment strategy in an \(M / G / 1\) queue ⋮ On first-come, first-served queues with two classes of impatient customers

Cites Work

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• Reneging Phenomena in Single Channel Queues
• Some Queuing Problems with Restrictions
• General customer impatience in the queue GI/G/1
• Busy periods of Poisson arrival queues with loss

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