Light traffic equivalence in single-server queues

DOI10.1214/aoap/1177005649zbMath0762.60085OpenAlexW2049208502MaRDI QIDQ1201314

Soren Asmussen

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1214/aoap/1177005649

zbMATH Keywords

random walkswaiting timephase-type distributionslight traffic limitsteady-state waiting time

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (9)

Analyticity of single-server queues in light traffic ⋮ Ergodic and light traffic properties of a complex repairable system ⋮ On the accuracy of phase-type approximations of heavy-tailed risk models ⋮ Analysis of the deviation of the nonstationary availability factor of a restorable system from its stationary value ⋮ Light traffic for workload in queues ⋮ Heavy and light traffic in fluid models with burst arrivals ⋮ Taylor-series approximations for queues with arrival correlation ⋮ Reducing the phase space of a stochastic process in system reliability analysis ⋮ Rare events in queueing systems -- A survey

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