Sensitivity to the Service-Time Distribution in the Nonstationary Erlang Loss Model

DOI10.1287/MNSC.41.6.1107zbMath0865.60091OpenAlexW2096000770MaRDI QIDQ4896415

Ward Whitt, Jimmie Davis, William A. Massey

Publication date: 20 October 1996

Published in: Management Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/af137364df10598e6e4d4596644d680bf893f97c

zbMATH Keywords

insensitivitytransient behaviorblocking probabilitynonhomogeneous Markov chainsnonstationary queuesErlang loss modelinfinite-server queuesmodified-offered-load approximationtime-dependent arrival rates

Mathematics Subject Classification ID

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

Related Items (10)

Dimensioning hospital wards using the Erlang loss model ⋮ Time-dependent analysis for refused admissions in clinical wards ⋮ A loss network model with overflow for capacity planning of a neonatal unit ⋮ The \(G_{t}/GI/s_{t}+GI\) many-server fluid queue ⋮ NONSTATIONARY LOSS QUEUES VIA CUMULANT MOMENT APPROXIMATIONS ⋮ STAFFING TO STABILIZE BLOCKING IN LOSS MODELS WITH TIME-VARYING ARRIVAL RATES ⋮ Distribution sensitivity in a highway flow model ⋮ Estimating effective capacity in Erlang loss systems under competition ⋮ Approximate analysis of non-stationary loss queues and networks of loss queues with general service time distributions ⋮ Analysis of multiserver retrial queueing system: a martingale approach and an algorithm of solution

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