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Limit theorems for a \(GI/G/\infty\) queue

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Publication:1223878
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DOI10.1214/aop/1176996265zbMath0322.60081OpenAlexW2084679005MaRDI QIDQ1223878

Norman L. Kaplan

Publication date: 1975

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176996265



Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Stochastic processes (60G99) Renewal theory (60K05)


Related Items (10)

Limit theorems for queuing systems with regenerative doubly stochastic input flow ⋮ Limit theorems for an infinite-server queuing system ⋮ Limit theorems for queueing systems with infinite number of servers and group arrival of requests ⋮ Moment convergence of first-passage times in renewal theory ⋮ \(M/G/\infty\) with alternating renewal breakdowns ⋮ Qualitative and asymptotic properties of stochastic integrals related to random marked point processes ⋮ On the number of empty boxes in the Bernoulli sieve I ⋮ Functional limit theorems for the number of busy servers in a G/G/∞ queue ⋮ Stationary queuing systems with dependencies ⋮ Autocorrelations in infinite server batch arrival queues







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