Representations for matrix-geometric and matrix-exponential steady-state distributions with applications to many-server queues

DOI10.1080/15326349808807477zbMath0934.60082OpenAlexW1972241270MaRDI QIDQ4385227

Colm Art O'Cinneide, Soren Asmussen

Publication date: 17 April 2000

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

Full work available at URL: https://doi.org/10.1080/15326349808807477

zbMATH Keywords

phase type distributionGI/PH/1 queuemany-server casesteady-state waiting time distribution

Mathematics Subject Classification ID

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

Related Items (9)

\(\mathrm{MAP}/\mathrm{M}/c\) and \(\mathrm{M}/\mathrm{PH}/c\) queues with constant impatience times ⋮ An approximation model for sojourn time distributions in acyclic multi-server queueing networks ⋮ A simple and complete computational analysis of MAP/R/1 queue using roots ⋮ Space Reduction for a Class of Multidimensional Markov Chains: A Summary and Some Applications ⋮ An \(\mathrm{M}/\mathrm{PH}/K\) queue with constant impatient time ⋮ Analysis of a continuous time SM[K/PH[K]/1/FCFS queue: age process, sojourn times, and queue lengths] ⋮ Predicting departure times in multi-stage queueing systems ⋮ Characterization of the departure process from anME/ME/1queue ⋮ Age process, workload process, sojourn times, and waiting times in a discrete time SM[K/PH[K]/1/FCFS queue]

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