Large deviations of the sojourn time for queues in series

DOI10.1023/A:1018930907280zbMath0896.90095MaRDI QIDQ1385349

Ayalvadi J. Ganesh

Publication date: 26 April 1998

Published in: Annals of Operations Research (Search for Journal in Brave)

zbMATH Keywords

tandem queueslarge deviationsopen queueing network

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Deterministic network models in operations research (90B10) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

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Large deviations for the total queue size in non-Markovian tandem queues ⋮ Invariant rate functions for discrete-time queues ⋮ Exact tail asymptotics of a tandem queue with LRD service times ⋮ On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times ⋮ Tail asymptotics for discrete event systems ⋮ Brownian analogues of Burke's theorem. ⋮ Tail Asymptotics for Monotone-Separable Networks ⋮ Asymptotic analysis of Lévy-driven tandem queues ⋮ Optimal planning of a multi-station system with sojourn time constraints