Diffusion Approximations for Queueing Systems with Customer Abandonment

Keywords

Abandonment (legal), Diffusion, Queueing theory, Queue, Computer science

References

• Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapseRuth Williams — 1998
• A heavy-traffic analysis of a closed queueing system with a GI/∞ service centerElena V. Krichagina, Anatolii A. Puhalskii — 1997
• Multiple channel queues in heavy trafficDonald L. Iglehart — 1971
• A Diffusion Approximation for a Markovian Queue with RenegingAmy R. Ward, Peter W. Glynn — 2003
• How Multiserver Queues Scale with Growing Congestion-Dependent DemandWard Whitt — 2003
• Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G QueueSergey Zeltyn, Avishai Mandelbaum — 2005
• Multiple channel queues in heavy traffic. II: sequences, networks, and batchesDonald L. Iglehart, Ward Whitt — 1970
• Some Useful Functions for Functional Limit TheoremsWard Whitt — 1980
• Probability theory: Independence, interchangeability, martingalesRobert Lund, Y. S. Chow, Henry Teicher — 1978
• SPDE Limits of Many Server QueuesHaya Kaspi, Kavita Ramanan — 2010
• Law of large numbers limits for many-server queuesHaya Kaspi, Kavita Ramanan — 2007
• Designing a Call Center with Impatient CustomersOfer Garnett, Avishai Mandelbaum, Martin I. Reiman — 2002
• The multiclass GI/PH/N queue in the Halfin-Whitt regimeAnatolii A. Puhalskii, Martin I. Reiman — 2000
• On many-server queues in heavy trafficAnatolii A. Puhalskii, Josh Reed — 2010
• Heavy-Traffic Limits for Queues with Many Exponential ServersS. Halfin, Ward Whitt — 1981
• The G/GI/N queue in the Halfin–Whitt regimeJosh Reed — 2009
• Fluid models of many-server queues with abandonmentJiheng Zhang — 2009
• Many-server diffusion limits for G/Ph/n+GI queuesJ. G. Dai, Shuangchi He, Tolga Tezcan — 2010
• Open Queueing Networks in Heavy TrafficMartin I. Reiman — 1984
• Multiserver queues with impatient customersOnno Boxma, P.R. deWaal — 1993

Cited by

• On the steady-state probability of delay and large negative deviations for the GI/GI/n queue in the Halfin-Whitt regimeDavid A. Goldberg — 2013
• General hazard-type scaling of abandonment time distribution for a G/Ph/n+GI queue in the Halfin–Whitt heavy-traffic regimeToshiyuki Katsuda — 2015

Related papers

• A Unified Approach to Diffusion Analysis of Queues with General Patience-Time DistributionsJunfei Huang, Hanqin Zhang, Jiheng Zhang — 2012
• Many server queueing models with heterogeneous servers and parameter uncertainty with customer contact centre applicationsWenyi Qin — 2018
• Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic RegimeJ. Michael Harrison, Assaf Zeevi — 2004
• Convergence of a Queueing System in Heavy Traffic with General Abandonment DistributionsChihoon Lee, Ananda Weerasinghe — 2010
• Controlled queues in heavy trafficJohn H. Rath — 1975
• Many-server queues with customer abandonment: Numerical analysis of their diffusion modelJ. G. Dai, Shuangchi He — 2011
• On uniform stability of certain parallel server networks with no abandonment in the Halfin-Whitt regimeHassan Hmedi, Ari Arapostathis, Guodong Pang — 2019
• A diffusion model of scheduling control in queueing systems with many serversRami Atar — 2005
• Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio DisciplinesItai Gurvich — 2014