Algorithms for computing waiting time distributions under different queue disciplines for the D-BMAP/PH/1

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1520-6750(199709)44:6<559::AID-NAV3>3.0.CO;2-2" /><559::AID-NAV3>3.0.CO;2-2 10.1002/(SICI)1520-6750(199709)44:6<559::AID-NAV3>3.0.CO;2-2zbMath0893.90066OpenAlexW2057416700MaRDI QIDQ4354551

Imed Frigui, Attahiru Sule Alfa, Xiao-Yi Xu

Publication date: 17 September 1997

Full work available at URL: https://doi.org/10.1002/(sici)1520-6750(199709)44:6<559::aid-nav3>3.0.co;2-2

zbMATH Keywords

phase distributionwaiting time distributionfirst in first outdiscrete batch Markovian arrival process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (9)

Time-dependent analysis of virtual waiting time behaviour in discrete time queues ⋮ Analyzing discrete-time \(\text{D}\)-\(\text{BMAP}/G/1/N\) queue with single and multiple vacations ⋮ The \(N \times D\)-\(BMAP/G/1\) queueing model: queue contents and delay analysis ⋮ A matrix-analytic solution for the DBMAP/PH/ 1 priority queue ⋮ Waiting time distribution of the \(MAP/D/k\) system in discrete time -- a more efficient algorithm. ⋮ A simple eigenvalue method for low-order D-BMAP/G/1 queues ⋮ Waiting-time analysis of D-BMAP/G/1 queueing system ⋮ Algorithmic analysis of the BMAP/D/k system in discrete time ⋮ Waiting-time distribution of a discrete-time multiserver queue with correlated arrivals and deterministic service times: \(D-MAP/D/k\) system

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