Unstable Asymptotics for Nonstationary Queues

DOI10.1287/moor.19.2.267zbMath0801.60087OpenAlexW2137236287MaRDI QIDQ4302589

Ward Whitt, William A. Massey

Publication date: 21 November 1994

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

Full work available at URL: https://doi.org/10.1287/moor.19.2.267

zbMATH Keywords

central limit theoremsrandom time changelaws of large numbersunstable queuesasymptotic behavior of the nonstationary point process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (14)

Large deviations behavior of counting processes and their inverses ⋮ STABILIZING PERFORMANCE IN NETWORKS OF QUEUES WITH TIME-VARYING ARRIVAL RATES ⋮ STAFFING A SERVICE SYSTEM WITH NON-POISSON NON-STATIONARY ARRIVALS ⋮ Efficient simulation of non-Poisson non-stationary point processes to study queueing approximations ⋮ Minimizing the Maximum Expected Waiting Time in a Periodic Single-Server Queue with a Service-Rate Control ⋮ Stabilizing performance in a single-server queue with time-varying arrival rate ⋮ Heavy-traffic limits for a single-server queue leading up to a critical point ⋮ A Rare-Event Simulation Algorithm for Periodic Single-Server Queues ⋮ Modeling and Simulation of Nonstationary Non-Poisson Arrival Processes ⋮ Weak convergence of sequences of first passage processes and applications ⋮ Limit theorems for cumulative processes ⋮ Heavy-traffic limits for queues with periodic arrival processes ⋮ Large deviations of inverse processes with nonlinear scalings ⋮ Uniform acceleration expansions for Markov chains with time-varying rates

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