Stationary distribution of a multi-server vacation queue with constant impatient times

DOI10.1016/j.orl.2012.03.006zbMath1247.90105OpenAlexW2040637149MaRDI QIDQ453037

Atsushi Inoie, Yutaka Sakuma

Publication date: 18 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.orl.2012.03.006

zbMATH Keywords

queuematrix analytic methodmultiple vacationconstant impatient timegeometric tail asymptoticsM/G/1-type Markov chain

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items

Phase-type arrivals and impatient customers in multiserver queue with multiple working vacations, Analysis of a discrete-time working vacation queue with balking

Cites Work

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• The single server vacation queueing model with geometric abandonments
• Tail asymptotics for waiting time distribution of an \(M/M/s\) queue with general impatient time
• Synchronized reneging in queueing systems with vacations
• On the impact of customer balking, impatience and retrials in telecommunication systems
• Queueing systems with vacations - a survey
• On queueing with customer impatience until the beginning of service
• The impact of customers' patience on delay and abandonment: some empirically-driven experiments with the \(\text{M/M}/n+G\) queue
• Queues with system disasters and impatient customers when system is down
• Analysis of customers' impatience in queues with server vacations
• Introduction to Matrix Analytic Methods in Stochastic Modeling
• The stationary tail asymptotics in the GI/G/1-type queue with countably many background states
• MAP/M/c Queue with Constant Impatient Time