Peak congestion in multi-server service systems with slowly varying arrival rates

DOI10.1023/A:1019156418862zbMath0878.90044OpenAlexW2146252203MaRDI QIDQ1370369

William A. Massey, Ward Whitt

Publication date: 26 October 1997

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019156418862

zbMATH Keywords

multi-server queuestime lagnonstationary queuespeak congestioninfinite-server queuesmodified-offered-load approximationtime-dependent arrival ratesslowly varying arrival ratesuniform acceleration expansions

Mathematics Subject Classification ID

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

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Setting staffing requirements for time dependent queueing networks: the case of accident and emergency departments ⋮ Simulation-based transfer function modeling for transient analysis of general queueing systems ⋮ Approximation of the non-stationary \(M(t)/M(t)/c(t)\)-queue using stationary queueing models: The stationary backlog-carryover approach ⋮ Physician Staffing for Emergency Departments with Time-Varying Demand ⋮ Fluid approximations and control of queues in emergency departments ⋮ Non-stationary delay analysis of runway systems ⋮ Uniform acceleration expansions for Markov chains with time-varying rates ⋮ Using different response-time requirements to smooth time-varying demand for service

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