Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic

DOI10.1007/BF01438710zbMath0814.60092OpenAlexW2068171432MaRDI QIDQ1332445

J. George Shanthikumar, Hong Chen

Publication date: 18 June 1995

Published in: Discrete Event Dynamic Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01438710

zbMATH Keywords

functional central limit theoremfunctional strong law of large numbersopen and closed networks of multi-server queues in heavy traffic

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Functional limit theorems; invariance principles (60F17)

Related Items (9)

A Fluid Model for One-Sided Bipartite Matching Queues with Match-Dependent Rewards ⋮ On the fluid approximation for a multiclass queue under non-preemptive SBP service discipline ⋮ Functional law of the iterated logarithm for multi-server queues with batch arrivals and customer feedback ⋮ Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback ⋮ Pathwise rate-stability for input-output processes ⋮ Fluid approximation and its convergence rate for GI/G/1 queue with vacations ⋮ Asymptotic variability analysis for multi-server generalized Jackson network in overloaded ⋮ Fluid approximation for generalized Jackson network with vacations ⋮ Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The QNET method for two-moment analysis of open queueing networks
• A central-limit-theorem version of \(L=\lambda W\)
• Reflected Brownian motion on an orthant
• Stochastic discrete flow networks: Diffusion approximations and bottlenecks
• Reflected Brownian motion in an orthant: Numerical methods for steady- state analysis
• Diffusion approximations for open queueing networks with service interruptions
• Steady-state analysis of RBM in a rectangle: Numerical methods and a queueing application
• Strong approximations for multiple channel queues in heavy traffic
• Open Queueing Networks in Heavy Traffic
• A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types
• Brownian models of closed queueing networks with homogeneous customer populations
• Brownian models of open queueing networks with homogeneous customer populations^∗
• Some Useful Functions for Functional Limit Theorems
• A note on networks of infinite-server queues
• On the Distribution of Multidimensional Reflected Brownian Motion
• On the heavy-traffic limit theorem for GI/G/∞ queues
• Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations
• Heavy Traffic Limit Theorems for Queues: A Survey
• Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
• State of the Art—Networks of Queues: A Survey of Weak Convergence Results
• Stochastic monotonicity in general queueing networks
• Multiple channel queues in heavy traffic. II: sequences, networks, and batches
• Multiple channel queues in heavy traffic. I

This page was built for publication: Fluid limits and diffusion approximations for networks of multi-server queues in heavy traffic