Stabilizing performance in a single-server queue with time-varying arrival rate

DOI10.1007/s11134-015-9462-xzbMath1332.60131OpenAlexW1942703179MaRDI QIDQ904960

Ward Whitt

Publication date: 14 January 2016

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

Full work available at URL: https://doi.org/10.1007/s11134-015-9462-x

zbMATH Keywords

heavy-traffic limitsnon-stationary queuesperformance stabilizationservice-rate controlssingle-server queuestime-varying arrival rates

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) Functional limit theorems; invariance principles (60F17)

Related Items (12)

Perfect Sampling of Hawkes Processes and Queues with Hawkes Arrivals ⋮ STAFFING A SERVICE SYSTEM WITH NON-POISSON NON-STATIONARY ARRIVALS ⋮ Efficient simulation of non-Poisson non-stationary point processes to study queueing approximations ⋮ Delay-Based Service Differentiation with Many Servers and Time-Varying Arrival Rates ⋮ Minimizing the Maximum Expected Waiting Time in a Periodic Single-Server Queue with a Service-Rate Control ⋮ Ergodicity and truncation bounds for inhomogeneous birth and death processes with additional transitions from and to origin ⋮ Stabilizing the virtual response time in single-server processor sharing queues with slowly time-varying arrival rates ⋮ Time-Varying Robust Queueing ⋮ A Rare-Event Simulation Algorithm for Periodic Single-Server Queues ⋮ Two-parameter process limits for an infinite-server queue with arrival dependent service times ⋮ Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services ⋮ Queues with path-dependent arrival processes

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