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ArticleA many-server fluid limit for the queueing model experiencing periods of overloading

Yunan Liu2012

Article2012

A many-server fluid limit for the queueing model experiencing periods of overloading

Yunan Liu · Ward Whitt

45 citations·0/0 files stored·Operations Research Letters

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Advanced Queuing Theory Analysis Healthcare Operations and Scheduling Optimization Probability and Risk Models

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References

2007Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System 2006Fluid Models for Multiserver Queues with Abandonments 1998Strong approximations for Markovian service networks 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues 2009The G/GI/N queue in the Halfin–Whitt regime 2010Law of large numbers limits for many-server queues 2010Fluid limits of many-server queues with reneging

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2016Stabilizing performance in a service system with time-varying arrivals and customer feedback 2014STABILIZING PERFORMANCE IN NETWORKS OF QUEUES WITH TIME-VARYING ARRIVAL RATES 2018Staffing to Stabilize the Tail Probability of Delay in Service Systems with Time-Varying Demand 2014A queueing model with independent arrivals, and its fluid and diffusion limits 2021Managing price and fleet size for courier service with shared drones

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2018Many-server Gaussian limits for overloaded non-Markovian queues with customer abandonmentarticle · 11 shared references 2014Many-server heavy-traffic limit for queues with time-varying parametersarticle · 10 shared references 2010Two-parameter heavy-traffic limits for infinite-server queuesarticle · 8 shared references 2010Many-server diffusion limits for G/Ph/n+GI queuesarticle · 7 shared references 2019Economies-of-Scale in Many-Server Queueing Systems: Tutorial and Partial Review of the QED Halfin--Whitt Heavy-Traffic Regimearticle · 7 shared references 2013Fluid limits of many-server queues with abandonments, general service and continuous patience time distributionsarticle · 7 shared references

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Year2012

Typearticle

Published2012-06-04

VenueOperations Research Letters

ISSN-L0167-6377

Languageen

Citations45

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1016/j.orl.2012.05.010

openalex_workW2199820417

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2013

Algorithms for Time-Varying Networks of Many-Server Fluid Queues

2017Refined Models for Efficiency-Driven Queues with Applications to Delay Announcements and Staffing

2018Many-server Gaussian limits for overloaded non-Markovian queues with customer abandonment