The remaining service time upon reaching a high level in \(M/G/1\) queues

DOI10.1023/A:1017935616446zbMath1079.90526OpenAlexW2123920883MaRDI QIDQ5948167

Pieter-Tjerk de Boer, Victor F. Nicola, Jan-Kees C. W. van Ommeren

Publication date: 31 October 2001

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

Full work available at URL: https://doi.org/10.1023/a:1017935616446

zbMATH Keywords

asymptoticslevel crossingM/G/1 queueremaining service time

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) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (9)

The remaining busy time in a retrial system with unreliable servers ⋮ Consecutive customer losses in regular and oscillating \(M^{X}/ G /1/ n\) systems ⋮ Buffer overflow period in a MAP queue ⋮ Consecutive customer losses in oscillating \(GI^X/M//n\) systems with state dependent services rates ⋮ The \(M_n/G_n/1\) queue with vacations and exhaustive service ⋮ Remarks on the remaining service time upon reaching a target level in the \(M/G/1\) queue ⋮ Takács' asymptotic theorem and its applications: a survey ⋮ On the loss process in a batch arrival queue ⋮ Busy period, virtual waiting time and number of customers in \(G^{\delta }|M^{\kappa}|1| \text B\) system

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