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Dynamic and equilibrium behavior of controlled loss networks

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Publication:1379709
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DOI10.1214/AOAP/1043862415zbMath0890.60087OpenAlexW2035193542MaRDI QIDQ1379709

R. J. Gibbens, Nigel G. Bean, Stan Zachary

Publication date: 23 June 1998

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1043862415


zbMATH Keywords

time-scale separationblocking probabilityloss network


Mathematics Subject Classification ID

Functional limit theorems; invariance principles (60F17) Continuous-time Markov processes on discrete state spaces (60J27) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)


Related Items (5)

Saturation in a Markovian parking process ⋮ Asymptotically exact analysis of a loss network with channel continuity ⋮ Analysis of loss networks with routing ⋮ Job assignment in large-scale service systems with affinity relations ⋮ Allocation schemes of resources with downgrading




Cites Work

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  • Loss networks
  • Large loss networks
  • Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks
  • Pathological behaviour in loss networks




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