The \(GR^{X_ n}/G_ n/\infty\) system: System size

DOI10.1007/BF02412259zbMath0733.60109OpenAlexW2270640088MaRDI QIDQ809488

J. G. C. Templeton, Li-Ming Liu

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf02412259

zbMATH Keywords

numerical exampleinfinite server systemsMarkov renewal input processnon-interacting property of all customers

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (8)

The variance of the number of customers in an infinite-server queueing system with an arbitrarily correlated arrival process ⋮ Departures in \(GR^{X_ n}/ G_ n/ \infty\) ⋮ A volterra type integral equation for the characteristic function of the extended compound renewal process with applications ⋮ The moments of the extended compound point process with applications ⋮ Queue lengths in the \(GI^ X/M^ R/\infty\) service system ⋮ Open networks of infinite server queues with non-homogeneous multivariate batch Poisson arrivals ⋮ On the \(GI^{X_n}/G/\infty\) system with Markov dependent batch arrivals. ⋮ Autocorrelations in infinite server batch arrival queues

Cites Work

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• The M/M/\(\infty\) service system with ranked servers in heavy traffic. With a preface by Franz Ferschl
• On the service system M**r/G/infinity
• On the GI^X/G/∞ system
• On a coincidence problem concerning telephone traffic
• A Stochastic Model of Fragmentation in Dynamic Storage Allocation
• An infinite-server queue subject to an extraneous phase process and related models
• AN INFINITELY-MANY SERVER QUEUE HAVING MARKOV RENEWAL ARRIVALS AND HYPEREXPONENTIAL SERVICE TIMES
• On infinite server queues with batch arrivals
• Markov renewal theory
• The infinite server queue with semi-Markovian arrivals and negative exponential services
• Technical Note—The Infinitely-Many-Server Queue with Semi-Markovian Arrivals and Customer-Dependent Exponential Service Times

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