Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines

DOI10.1287/moor.25.4.679.12115zbMath0981.60029OpenAlexW2111067176MaRDI QIDQ2757660

Hong Chen, Han-Qin Zhang

Publication date: 26 November 2001

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

Full work available at URL: https://doi.org/10.1287/moor.25.4.679.12115

zbMATH Keywords

heavy trafficdiffusion approximationsmulticlass queueing networksemimartingale reflecting Brownian motionfluid approximations

Mathematics Subject Classification ID

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

Related Items (9)

Heavy traffic limits for some queueing networks ⋮ Justifying diffusion approximations for multiclass queueing networks under a moment condition ⋮ Asymptotic optimality of maximum pressure policies in stochastic processing networks ⋮ Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline ⋮ Diffusion approximations for multiclass queueing networks under preemptive priority service discipline ⋮ A functional law of the iterated logarithm for multi-class queues with batch arrivals ⋮ Heavy traffic analysis of maximum pressure policies for stochastic processing networks with multiple bottlenecks ⋮ Fractional Brownian heavy traffic approximations of multiclass feedforward queueing networks ⋮ State space collapse for multi-class queueing networks under SBP service policies

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