State space collapse for asymptotically critical multi-class fluid networks

DOI10.1007/s11134-008-9080-yzbMath1167.90448OpenAlexW2065116894MaRDI QIDQ946469

Rosario Delgado

Publication date: 23 September 2008

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

Full work available at URL: https://doi.org/10.1007/s11134-008-9080-y

zbMATH Keywords

heavy trafficon-off sourcestandem queuefluid modelstate space collapsereflected fractional Brownian motionworkload processCompletely-S matrixfluid queue processmulti-class queueing network

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Deterministic network models in operations research (90B10) Traffic problems in operations research (90B20)

Related Items (6)

A two-queue polling model with priority on one queue and heavy-tailed on/off sources: a heavy-traffic limit ⋮ State space collapse and stability of queueing networks ⋮ Bounds on exponential moments of hitting times for reflected processes on the positive orthant ⋮ On the Return Time for a Reflected Fractional Brownian Motion Process on the Positive Orthant ⋮ On the Reflected Fractional Brownian Motion Process on the Positive Orthant: Asymptotics for a Maximum with Application to Queueing Networks ⋮ A Geometric Drift Inequality for a Reflected Fractional Brownian Motion Process on the Positive Orthant

Cites Work

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• Traffic with an fBm limit: convergence of the stationary workload process
• A reflected fBm limit for fluid models with ON/OFF sources under heavy traffic
• An invariance principle for semimartingale reflecting Brownian motions in an orthant
• Diffusion approximations for open multiclass queueing networks: Sufficient conditions involving state space collapse
• State space collapse with application to heavy traffic limits for multiclass queueing networks
• Brownian models of multiclass queueing networks: Current status and open problems
• Nonexistence of Brownian models for certain multiclass queueing networks
• Convergence to equilibria for fluid models of FIFO queueing networks
• Fractional Brownian heavy traffic approximations of multiclass feedforward queueing networks
• Open Queueing Networks in Heavy Traffic
• Regulations dÉterminates et stochastiques dans le premier “orthant” de R^N
• A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types
• Multiple channel queues in heavy traffic. II: sequences, networks, and batches
• Weak convergence theorems for priority queues: preemptive-resume discipline
• Multiple channel queues in heavy traffic. I

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