On the accuracy of Kingman's heavy traffic approximation in the theory of queues

DOI10.1007/BF00533822zbMath0433.60092MaRDI QIDQ3871706

Walter A. Rosenkrantz

Publication date: 1980

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

waiting timelimit theoremsheavy traffic approximationdeviation of distributions

Mathematics Subject Classification ID

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

Related Items (4)

Estimates for the probability of ruin starting with a large initial reserve ⋮ Strong Embeddings for Transitory Queueing Models ⋮ Singularly perturbed Markov chains: limit results and applications ⋮ HEAVY TRAFFIC LIMITS VIA BROWNIAN EMBEDDINGS

Cites Work

• An approximation of partial sums of independent RV's, and the sample DF. II
• The approximation of partial sums of independent RV's
• Radon-Nikodym Derivatives of Gaussian Measures
• A Rate of Convergence for the Von Mises Statistic
• On rates of convergence for the invariance principle
• Speeds of metric probability convergence
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