Busy period analysis of the level dependent \(PH/PH/1/K\) queue

DOI10.1007/s11134-011-9213-6zbMath1222.60069OpenAlexW2097592086MaRDI QIDQ543550

Ahmad Al Hanbali

Publication date: 17 June 2011

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

Full work available at URL: https://doi.org/10.1007/s11134-011-9213-6

zbMATH Keywords

busy periodtransient analysisphase-type distributionsabsorbing Markov chains\(PH/PH/1/K\) queuelevel-dependent queuesmatrix analytical approach

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) 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)

Distribution of the number of losses in busy-periods of oscillating \(M^X / G / 1 / (n, a, b)\) systems ⋮ A simple method to obtain the stochastic decomposition structure of the busy period in \(\mathrm{Geo}/\mathrm{Geo}/1/N\) vacation queue ⋮ Mathematical analysis of queue with phase service: an overview ⋮ Moments of losses during busy-periods of regular and nonpreemptive oscillating \(M^X/G/1/n\) systems ⋮ Approximations for the waiting-time distribution in an \(M/PH/c\) priority queue ⋮ A survey on queues in machining system: Progress from 2010 to 2017 ⋮ ON TIME-TO-BUFFER OVERFLOW DISTRIBUTION IN A SINGLE-MACHINE DISCRETE-TIME SYSTEM WITH FINITE CAPACITY

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