Heavy traffic approximations of large deviations of feedforward queueing networks

DOI10.1023/A:1019147006084zbMath0909.90146OpenAlexW1599271775MaRDI QIDQ1127042

Kurt Majewski

Publication date: 9 August 1998

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

Full work available at URL: https://doi.org/10.1023/a:1019147006084

zbMATH Keywords

large deviationlarge deviationsreflected Brownian motionheavy traffic limitconvex path space minimizationheavy traffic convergencemulti-class feedforward queueing network

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (8)

Minimizing Large Deviation Paths for a Family of Long-Range Dependent Processes and Their Fractional Brownian Approximations ⋮ A multi-dimensional SRBM: geometric views of its product form stationary distribution ⋮ Tandem Brownian queues ⋮ A time-reversed representation for the tail probabilities of stationary reflected Brownian motion. ⋮ Validity of heavy traffic steady-state approximations in generalized Jackson networks ⋮ Optimal Paths in Large Deviations of Symmetric Reflected Brownian Motion in the Octant ⋮ Fractional Brownian heavy traffic approximations of multiclass feedforward queueing networks ⋮ A large deviation principle with queueing applications

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