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A Diffusion Approximation for a GI/GI/1 Queue with Balking or Reneging · Study

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ArticleA Diffusion Approximation for a GI/GI/1 Queue with Balking or Reneging

Amy R. Ward2005

Article2005

A Diffusion Approximation for a GI/GI/1 Queue with Balking or Reneging

Amy R. Ward · Peter W. Glynn

121 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

2017Journal of Industrial Engineering 1987Brownian Motion and Stochastic Flow Systems.2005Statistical Analysis of a Telephone Call Center 2002Designing a Call Center with Impatient Customers 2001Fundamentals of Queueing Networks 1970Multiple channel queues in heavy traffic. I 2004Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization 1999Improving Service by Informing Customers About Anticipated Delays

Cited by

2011Asymptotic analysis of queueing systems with reneging: A survey of results for FIFO, single class models 2008Asymptotically Optimal Admission Control of a Queue with Impatient Customers 2013Data-stories about (im)patient customers in tele-queues 2010On the Accuracy of Fluid Models for Capacity Sizing in Queueing Systems with Impatient Customers 2010Queueing system with impatient customers: A review 2010Dynamic control of a single-server system with abandonments

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Papers that cite the same references — the relational fallback while embeddings are still backfilling.

2008Approximating the GI/GI/1+GI Queue with a Nonlinear Drift Diffusion: Hazard Rate Scaling in Heavy Trafficarticle · 11 shared references 2011Asymptotic analysis of queueing systems with reneging: A survey of results for FIFO, single class modelsarticle · 8 shared references 2011Convergence of a queueing system in heavy traffic with general patience-time distributionsarticle · 6 shared references 2010Customer Abandonment in Many-Server Queuesarticle · 5 shared references 2008Asymptotically Optimal Admission Control of a Queue with Impatient Customersarticle · 5 shared references 2012On scheduling a multiclass queue with abandonments under general delay costsarticle · 5 shared references

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Year2005

Typearticle

Published2005-08-01

VenueQueueing Systems

ISSN-L0257-0130

Languageen

Citations121

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1007/s11134-005-3282-3

openalex_workW2085105035

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2008Approximating the GI/GI/1+GI Queue with a Nonlinear Drift Diffusion: Hazard Rate Scaling in Heavy Traffic

2011Heavy traffic analysis for EDF queues with reneging