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Fluid Limits for Many-Server Systems with Reneging Under a Priority Policy
13 references·4 citing·37 second hop
Fluid Limits for Many-Server Systems with Reneging Under a Priority Policy (2013)Fluid Limits for Many-Server Systems with…ASYMPTOTIC APPROXIMATIONS FOR STATIONARY DISTRIBUTIONS OF MANY-SERVER QUEUES WITH ABANDONMENT (2016)ASYMPTOTIC APPROXIMATIONS FOR…The cμ/θ Rule for Many-Server Queues with Abandonment (2010)The cμ/θ Rule for Many-Server…On the asymptotic optimality of the cμ/θ rule under ergodic cost (2010)On the asymptotic optimality …On many-server queues in heavy traffic (2010)On many-server queues in heav…Law of large numbers limits for many-server queues (2010)Law of large numbers limits f…Fluid limits of many-server queues with reneging (2010)Fluid limits of many-server q…The G/GI/N queue in the Halfin–Whitt regime (2009)The G/GI/N queue in the Halfi…The Skorokhod problem in a time-dependent interval (2008)The Skorokhod problem in a ti…Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic (2004)Scheduling a multi class queu…A proof of the queueing formula: L=λW (2001)A proof of the queueing formu…Limit Theorems for Stochastic Processes (1987)Limit Theorems for Stochastic…Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…A Proof for the Queuing Formula: L = λ W (1961)A Proof for the Queuing Formu…An Invitation Control Policy for Proactive Service Systems: Balancing Efficiency, Value, and Service Level (2020)An Invitation Control Policy …Scheduling an Overloaded Multiclass Many-Server Queue with Impatient Customers (2019)Scheduling an Overloaded Mult…Dynamic Scheduling in a Many-Server, Multiclass System: The Role of Customer Impatience in Large Systems (2018)Dynamic Scheduling in a Many-…Fluid limits of many-server queues with abandonments, general service and continuous patience time distributions (2013)Fluid limits of many-server q…Point Processes and Queues (1981)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Asymptotic analysis of queueing systems with reneging: A survey of results for FIFO, single class models (2011)Data-stories about (im)patient customers in tele-queues (2013)Asymptotically optimal priority policies for indexable and nonindexable restless bandits (2016)Applied Probability and Queues (1987)Brownian Motion and Stochastic Flow Systems. (1987)Statistical Analysis of a Telephone Call Center (2005)Many-server diffusion limits for G/Ph/n+GI queues (2010)Stabilizing Customer Abandonment in Many-Server Queues with Time-Varying Arrivals (2012)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)An introduction to queueing theory (1993)Theory of Martingales (1989)Limit Theorems for Stochastic Processes (2003)Queues with Many Servers and Impatient Customers (2012)Operational Research: methods and applications (2023)Brownian Motion and Stochastic Calculus. (1989)Reflected solutions of backward SDE's, and related obstacle problems for PDE's (1997)Brownian Motion and Stochastic Calculus (2007)Double Skorokhod Map and Reneging Real-Time Queues (2008)A stochastic partially reversible investment problem on a finite time-horizon: Free-boundary analysis (2014)Stochastic Games for Fuel Follower Problem: $N$ versus Mean Field Game (2019)Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime (2004)Controlled Markov Processes and Viscosity Solutions (2005)Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers (2005)Stochastic Integration and Differential Equations (2005)Designing a Call Center with Impatient Customers (2002)An Equilibrium Queuing Model of Bribery (1985)An exploration towards a production theory and its application to construction (2000)How to improve R&D productivity: the pharmaceutical industry's grand challenge (2010)Scheduling network of queues : heavy traffic analysis of multistation network with controllable inputs (1989)Integrated multi‐echelon supply chain design with inventories under uncertainty: MINLP models, computational strategies (2009)On the distribution of urban road space for multimodal congested networks (2013)Arbitrage Theory in Continuous Time (1998)Affine processes and applications in finance (2003)Variance Risk Premiums (2008)
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References

  • 1961A Proof for the Queuing Formula: L = λ W2,777 cited
  • 1987Limit Theorems for Stochastic Processes1,319 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 2001A proof of the queueing formula: L=λW350 cited
  • 2009The G/GI/N queue in the Halfin–Whitt regime146 cited
  • 2004Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic140 cited
  • 2010The cμ/θ Rule for Many-Server Queues with Abandonment131 cited
  • 2010Law of large numbers limits for many-server queues113 cited
  • 2010Fluid limits of many-server queues with reneging113 cited
  • 2008The Skorokhod problem in a time-dependent interval82 cited
  • 2010On many-server queues in heavy traffic53 cited
  • 2010On the asymptotic optimality of the cμ/θ rule under ergodic cost50 cited
  • 2016ASYMPTOTIC APPROXIMATIONS FOR STATIONARY DISTRIBUTIONS OF MANY-SERVER QUEUES WITH ABANDONMENT43 cited

Cited by

  • 2018Dynamic Scheduling in a Many-Server, Multiclass System: The Role of Customer Impatience in Large Systems35 cited
  • 2019Scheduling an Overloaded Multiclass Many-Server Queue with Impatient Customers

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34 cited
  • 2013Fluid limits of many-server queues with abandonments, general service and continuous patience time distributions18 cited
  • 2020An Invitation Control Policy for Proactive Service Systems: Balancing Efficiency, Value, and Service Level16 cited