Matrix-analytic methods in queueing theory

DOI10.1016/0377-2217(84)90034-1zbMath0525.90046OpenAlexW2022680991WikidataQ56764059 ScholiaQ56764059MaRDI QIDQ593969

Marcel F. Neuts

Publication date: 1984

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(84)90034-1

zbMATH Keywords

matrix-analytic methodsstochastic modelsnonlinear matrix equationsM/G/1 queuesstructured Markoc chains

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Continuous-time Markov processes on discrete state spaces (60J27) Stochastic matrices (15B51)

Related Items (10)

Some efficient computational algorithms related to phase models ⋮ A class of iteration methods based on the Moser formula for nonlinear equations in Markov chains ⋮ Performance analysis and cost investigations for state-dependent single unreliable server finite queue under \(F\)-policy using GA and QNM ⋮ Mathematical problems in the theory of processor-sharing queueing systems ⋮ Matrix-geometric solution of a multiserver queue with Markovian group arrivals and Coxian servers ⋮ An exact root-free method for the expected queue length for a class of discrete-time queueing systems ⋮ Unnamed Item ⋮ Cost optimization of an unreliable server queue with two stage service process under hybrid vacation policy ⋮ Bedienungstheorie: Tendenzen und neuere Entwicklungen. (Servicing theory: Tendencies and new developments) ⋮ Analysis of MAP(1), MAP(2)/ PH/ 1 non-preemptive priority queueing model under classical retrial policy with breakdown, repair, discouragement, single vacation, standby server, negative arrival and impatient customers

Cites Work

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• The busy period of queues which have a matrix-geometric steady state probability vector
• The caudal characteristic curve of queues
• A versatile Markovian point process
• The N/G/1 queue and its detailed analysis
• Queues Solvable without Rouché's Theorem
• Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers
• Operator-geometric stationary distributions for markov chains, with application to queueing models
• A NUMERICAL METHOD FOR THE STEADY-STATE PROBABILITIES OF A G1/G/C QUEUING SYSTEM IN A GENERAL CLASS
• Some explicit formulas for the steady-state behavior of the queue with semi-Markovian service times
• The M/G/1 queue with several types of customers and change-over times

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