A multiclass Station with Markovian Feedback in Heavy Traffic

DOI10.1287/moor.20.3.721zbMath0910.60073OpenAlexW2140794438MaRDI QIDQ4864882

Thomas G. Kurtz, J. G. Dai

Publication date: 6 April 1999

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

Full work available at URL: https://semanticscholar.org/paper/6d4843ce5c024ac991f7e16a4c9d615584fc4bd9

zbMATH Keywords

diffusion approximationheavy trafficperformance analysisreflecting Brownian motionmulticlass queueing network

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Sample path properties (60G17) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Functional limit theorems; invariance principles (60F17)

Related Items (7)

Heavy traffic limits for some queueing networks ⋮ Asymptotic optimality of maximum pressure policies in stochastic processing networks ⋮ Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback ⋮ Convergence to equilibria for fluid models of head-of-the-line proportional processor sharing queueing networks ⋮ Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline ⋮ Convergence to equilibria for fluid models of FIFO queueing networks ⋮ Nonexistence of Brownian models for certain multiclass queueing networks

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