On the service system M**r/G/infinity

DOI10.1016/0377-2217(83)90075-9zbMath0507.90036OpenAlexW1993104506MaRDI QIDQ1837620

Mohan L. Chaudhry, D. F. Holman, Brij R. K. Kashyap

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0377-2217(83)90075-9

zbMATH Keywords

probability generating functionsinfinite number of serversnumber of busy serversdetermination of probabilistic characteristicsMx/G/infinity service system

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (10)

Queueing network \(\text{MAP}-(G I / \infty)^K\) with high-rate arrivals ⋮ The service system \(M/M^ R/\infty\) with impatient customers ⋮ On the non-homogeneous service system \(M^ X/G/\infty\) ⋮ Antibody dynamics for \textit{Plasmodium vivax} malaria: a mathematical model ⋮ Hypnozoite dynamics for \textit{Plasmodium vivax} malaria: the epidemiological effects of radical cure ⋮ Time-Dependent Analysis of Some Infinite Server Queues with Bulk Poisson Arrivals ⋮ On the \(GI^{X_n}/G/\infty\) system with Markov dependent batch arrivals. ⋮ Tollbooth tandem queues with infinite homogeneous servers ⋮ On the service system M**r/G/infinity ⋮ The \(GR^{X_ n}/G_ n/\infty\) system: System size

Cites Work

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• On the number in the non-homogeneous service system \(M^ X(t)/M(t)/\infty\)
• On regenerative processes in queueing theory
• On the service system M**r/G/infinity
• The M/M/∞ Queue with Varying Arrival and Departure Rates
• Letter to the Editor—Some Results for the Bulk-Arrival Infinite-Server Poisson Queue
• On infinite server queues with batch arrivals
• The use of Roth's decomposition algorithm in multi-level design of circuits

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