Diffusion approximation of a multitype re-entrant line under smaller-buffer-first-served policy

DOI10.1007/S10114-011-8619-8zbMath1262.60090OpenAlexW2121538104MaRDI QIDQ1942201

Jian-Kui Yang

Publication date: 18 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-8619-8

zbMATH Keywords

diffusion approximationheavy trafficfluid modelreflecting Brownian motionmultitype re-entrant line

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant
• Diffusion approximations for re-entrant lines with a first-buffer-first-served priority discipline
• Re-entrant lines
• Heavy traffic limits for some queueing networks
• A Basic Dynamic Routing Problem and Diffusion
• The Stability of Two-Station Multitype Fluid Networks
• Stability and Instability of Fluid Models for Reentrant Lines
• Weak convergence theorems for priority queues: preemptive-resume discipline

This page was built for publication: Diffusion approximation of a multitype re-entrant line under smaller-buffer-first-served policy