Justifying diffusion approximations for multiclass queueing networks under a moment condition
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Publication:1634183
DOI10.1214/18-AAP1401zbMath1404.60141OpenAlexW2895934767WikidataQ129121216 ScholiaQ129121216MaRDI QIDQ1634183
Publication date: 17 December 2018
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.aoap/1538985632
Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Functional limit theorems; invariance principles (60F17)
Related Items (7)
Sufficient conditions of the ergodicity of queueing systems with absolute priority ⋮ Diffusion Approximation for Fair Resource Control—Interchange of Limits Under a Moment Condition ⋮ Stationary distribution convergence of the offered waiting processes for \(GI/GI/1+GI\) queues in heavy traffic ⋮ Stationary distribution convergence of the offered waiting processes in heavy traffic under general patience time scaling ⋮ On Uniform Exponential Ergodicity of Markovian Multiclass Many-Server Queues in the Halfin–Whitt Regime ⋮ State space collapse for multi-class queueing networks under SBP service policies ⋮ Uniform stability of some large-scale parallel server networks
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