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

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References

2007Brownian Motion and Stochastic Calculus7,421 cited
1988Brownian Motion and Stochastic Calculus1,544 cited
1987Brownian Motion and Stochastic Flow Systems.1,091 cited
2005Statistical Analysis of a Telephone Call Center804 cited
2002Designing a Call Center with Impatient Customers576 cited
2001Fundamentals of Queueing Networks530 cited
1961The single server queue in heavy traffic444 cited
1970Multiple channel queues in heavy traffic. I438 cited
1962On Queues in Heavy Traffic342 cited
2004Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization291 cited
2005Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue275 cited
1961Two Similar Queues in Parallel219 cited
1984Single-server queues with impatient customers219 cited
2002Real-time queueing theory199 cited
2006Some diffusion approximations with state space collapse175 cited
2005Engineering Solution of a Basic Call-Center Model170 cited

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Cited by

2008Sensitivity of Optimal Capacity to Customer Impatience in an Unobservable M/M/S Queue (Why You Shouldn't Shout at the DMV)54 cited
2012On scheduling a multiclass queue with abandonments under general delay costs53 cited
2010Optimal buffer size and dynamic rate control for a queueing system with impatient customers in heavy traffic50 cited
2016Comparisons of ticket and standard queues48 cited
2016Does the Past Predict the Future? The Case of Delay Announcements in Service Systems47 cited
2012Dynamic scheduling of a GI/GI/1+GI queue with multiple customer classes45 cited
2013Dynamic Scheduling of a Two-Server Parallel Server System with Complete Resource Pooling and Reneging in Heavy Traffic: Asymptotic Optimality of a Two-Threshold Policy42 cited
2012Hazard Rate Scaling of the Abandonment Distribution for the GI/M/n + GI Queue in Heavy Traffic36 cited
2018Dynamic Scheduling in a Many-Server, Multiclass System: The Role of Customer Impatience in Large Systems35 cited
2017An Equilibrium Analysis of a Multiclass Queue with Endogenous Abandonments in Heavy Traffic35 cited
2021Optimal Scheduling of Proactive Service with Customer Deterioration and Improvement32 cited
2012Many-server queues with customer abandonment: A survey of diffusion and fluid approximations31 cited
2017Refined Models for Efficiency-Driven Queues with Applications to Delay Announcements and Staffing29 cited
2020A survey on skill-based routing with applications to service operations management25 cited
2012An Overloaded Multiclass FIFO Queue with Abandonments25 cited
2015Diffusion Models for Double-Ended Queues with Renewal Arrival Processes25 cited