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DOI10.1080/15326348508807003zbMath0554.60093OpenAlexW4230899823MaRDI QIDQ3217406

David M. Lucantoni, Vaidyanathan Ramaswami

Publication date: 1985

Published in: Communications in Statistics. Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326348508807003

zbMATH Keywords

phase type distributionsnonlinear matrix equationsmatrix analytic techniques

Mathematics Subject Classification ID

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

Related Items (21)

The matched queueing system \(GI\circ PH/PH/1\) ⋮ \(\mathrm{MAP}/\mathrm{M}/c\) and \(\mathrm{M}/\mathrm{PH}/c\) queues with constant impatience times ⋮ Analysis of a finite MAP/\(G\)/1 queue with group services ⋮ ON LATOUCHE–RAMASWAMI'S LOGARITHMIC REDUCTION ALGORITHM FOR QUASI-BIRTH-AND-DEATH PROCESSES ⋮ Complete analysis of finite and infinite buffer \(GI/MSP/1\) queue-a computational approach ⋮ Analyzing the finite buffer batch arrival queue under Markovian service process: \(\mathrm{GI}^X /\mathrm{MSP}/1/\mathrm{N}\) ⋮ Phase type approximation for optimal auto-sleep scheduling ⋮ From the matrix-geometric to the matrix-exponential ⋮ The waiting-time distribution and its moments of the PH/PH/1 queue ⋮ Using state reduction for computing steady state vectors in Markov chains of \(M/G/1\) type ⋮ Exact and approximate numerical solutions of steady-state distributions arising in the queue \(GI/G/1\) ⋮ Continuity of the \(M/G/c\) queue ⋮ Stochastic models of space priority mechanisms with Markovian arrival processes ⋮ Finite buffer vacation models under E-limited with limit variation service and Markovian arrival process ⋮ Analysis of the \(M/D/1\)-type queue based on an integer-valued first-order autoregressive process ⋮ Computing queue length distributions in MAP/G/1/N queue under single and multiple vacation ⋮ Optimal service rates for the state-dependent \(M/G/1\) queues in steady state ⋮ AMAP/G/1 Queue with an Underlying Birth–Death Process ⋮ Analysis of the \(MAP/G^{(a,b)}/1/N\) queue with multiple vacations ⋮ A \(BMAP| G| 1\)-analysis based on convolution calculus ⋮ The queue length distributions in the finite buffer bulk-service MAP/G/1 queue with multiple vacations

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