The Busy Period of an M/G/1 Queue with Customer Impatience

DOI10.1239/jap/1269610821zbMath1194.60055OpenAlexW2017458075MaRDI QIDQ3550993

Shelemyahu Zacks, David Perry, Onno J. Boxma, Wolfgang Stadje

Publication date: 8 April 2010

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1269610821

zbMATH Keywords

busy periodvirtual waiting timeimpatient customers\(M/G/1\) queueing system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (9)

Some aspects of balking and reneging in finite buffer queues ⋮ On the time-dependent moments of Markovian queues with reneging ⋮ Workload and busy period for \(\mathrm{M}/\mathrm{GI}/1\) with a general impatience mechanism ⋮ A NEW LOOK AT ORGAN TRANSPLANTATION MODELS AND DOUBLE MATCHING QUEUES ⋮ The \(M/G/1+G\) queue revisited ⋮ Analysis of the loss probability in the \(\mathrm{M}/\mathrm{G}/1+\mathrm{G}\) queue ⋮ Appell pseudopolynomials and Erlang-type risk models ⋮ Customers' abandonment strategy in an \(M / G / 1\) queue ⋮ WAITING TIME ANALYSIS OF MULTI-CLASS QUEUES WITH IMPATIENT CUSTOMERS

Cites Work

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• What is the Laplace Transform?
• Busy period analysis for \(M/G/1\) and \(G/M/1\) type queues with restricted accessibility
• The M/G/1 queue with finite workload capacity

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