Strong Approximations of Irreducible Closed Queueing Networks

DOI10.2307/1428014zbMath0905.60069OpenAlexW2314721156MaRDI QIDQ4374018

Han-Qin Zhang

Publication date: 3 March 1998

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1428014

zbMATH Keywords

rates of convergencereflected Brownian motionLevy-Prokhorov distance

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Deterministic network models in operations research (90B10) Sample path properties (60G17) Functional limit theorems; invariance principles (60F17) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (10)

Strong approximations for multiclass feedforward queueing networks. ⋮ Functional law of the iterated logarithm for multi-server queues with batch arrivals and customer feedback ⋮ Strong approximations for a Kumar-Seidman network under a priority service discipline ⋮ Asymptotic variability analysis for a two-stage tandem queue. I: The functional law of the iterated logarithm ⋮ The (functional) law of the iterated logarithm of the sojourn time for a multiclass queue ⋮ Functional Law of the Iterated Logarithm for Multiclass Queues with Preemptive Priority Service Discipline: The Overloaded Case ⋮ Functional Law of the Iterated Logarithm for Multiclass Queues with Preemptive Priority Service Discipline: The Underloaded and Critically Loaded Cases ⋮ A functional law of the iterated logarithm for multi-class queues with batch arrivals ⋮ Asymptotic variability analysis for multi-server generalized Jackson network in overloaded ⋮ A law of iterated logarithm for multiclass queues with preemptive priority service discipline

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