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ArticleA heavy-traffic analysis of a closed queueing system with a GI/∞ service center

Elena V. Krichagina1997

Article1997

A heavy-traffic analysis of a closed queueing system with a GI/∞ service center

Elena V. Krichagina · Anatolii A. Puhalskii

102 citations·0/0 files stored·Queueing Systems

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Advanced Queuing Theory Analysis Stochastic processes and statistical mechanics Probability and Risk Models

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References

1981Point Processes and Queues 1987Limit Theorems for Stochastic Processes 1989Theory of Martingales 1986Stochastic Calculus and Applications.1991Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations 1965Limiting diffusion approximations for the many server queue and the repairman problem 1984Open and Closed Models for Networks of Queues 1991Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks

Cited by

2005Heavy-Traffic Limits for the G/H2*/n/mQueue 2018Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues 2010Two-parameter heavy-traffic limits for infinite-server queues 2013SPDE limits of many-server queues 2010On many-server queues in heavy traffic 2014Many-server heavy-traffic limit for queues with time-varying parameters

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1998State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limitsarticle · 8 shared references 2010Two-parameter heavy-traffic limits for infinite-server queuesarticle · 7 shared references 2000The multiclass GI/PH/N queue in the Halfin-Whitt regimearticle · 6 shared references 1995State-Dependent Queues: Approximations and Applicationschapter · 6 shared references 1993Limit non-stationary behavior of large closed queueing networks with bottlenecksarticle · 5 shared references 2007Martingale proofs of many-server heavy-traffic limits for Markovian queuesarticle · 4 shared references

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Year1997

Typearticle

Published1997-06-01

VenueQueueing Systems

ISSN-L0257-0130

Languageen

Citations102

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1023/a:1019108502933

openalex_workW1514537332

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