Sample-path derivations of the excess, age, and spread distributions

DOI10.2307/3214453zbMath0641.60106OpenAlexW2317270542MaRDI QIDQ3782579

Ronald W. Wolff

Publication date: 1988

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214453

zbMATH Keywords

limiting distributionstime averagedistribution of remaining service

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

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Little laws for utility processes and waiting times in queues ⋮ Approximating queue size and waiting time distributions in general polling systems ⋮ Queues as Harris recurrent Markov chains ⋮ On Finite Moments of Full Busy Periods of GI/G/c Queues ⋮ Sample path analysis of level crossings for the workload process ⋮ A review of \(L=\lambda W\) and extensions ⋮ Rate conservation laws: A survey

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