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Dynamic Routing and Admission Control in High-Volume Service Systems: Asymptotic Analysis via Multi-Scale Fluid Limits
14 references·16 citing·36 second hop
Dynamic Routing and Admission Control in High-Volume Service Systems: Asymptotic Analysis via Multi-Scale Fluid Limits (2005)Dynamic Routing and Admission Control in …Fluid Models for Multiserver Queues with Abandonments (2006)Fluid Models for Multiserver …Design and Control of a Large Call Center: Asymptotic Analysis of an LP-Based Method (2006)Design and Control of a Large…A Method for Staffing Large Call Centers Based on Stochastic Fluid Models (2005)A Method for Staffing Large C…Efficiency-Driven Heavy-Traffic Approximations for Many-Server Queues with Abandonments (2004)Efficiency-Driven Heavy-Traff…Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime (2004)Dynamic Scheduling of a Multi…Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Telephone Call Centers: Tutor…Heavy traffic resource pooling in parallel‐server systems (1999)Heavy traffic resource poolin…Strong approximations for Markovian service networks (1998)Strong approximations for Mar…The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals (1991)The Pointwise Stationary Appr…The Pointwise Stationary Approximation for Mt/Mt/s Queues Is Asymptotically Correct As the Rates Increase (1991)The Pointwise Stationary Appr…Point Processes and Queues: Martingale Dynamics. (1983)Point Processes and Queues: M…Point Processes and Queues (1981)Point Processes and QueuesHeavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…Comparing counting processes and queues (1981)Comparing counting processes …Managing price and fleet size for courier service with shared drones (2021)Managing price and fleet size…Managing Supply in the On-Demand Economy: Flexible Workers, Full-Time Employees, or Both? (2020)Managing Supply in the On-Dem…Managing Queueing Systems Where Capacity is Random and Customers are Impatient (2017)Managing Queueing Systems Whe…Staffing Call Centers with Uncertain Arrival Rates and Co‐sourcing (2014)Staffing Call Centers with Un…Many-server queues with customer abandonment: A survey of diffusion and fluid approximations (2012)Many-server queues with custo…Dynamic Pricing with Financial Milestones: Feedback-Form Policies (2012)Dynamic Pricing with Financia…Shadow-Routing Based Control of Flexible Multiserver Pools in Overload (2011)Shadow-Routing Based Control …Routing and Staffing in Large-Scale Service Systems: The Case of Homogeneous Impatient Customers and Heterogeneous Servers (2011)Routing and Staffing in Large…Operations in Financial Services—An Overview (2010)Operations in Financial Servi…Control of systems with flexible multi-server pools: a shadow routing approach (2010)Control of systems with flexi…An approximate dynamic programing approach to the development of heuristics for the scheduling of impatient jobs in a clearing system (2010)An approximate dynamic progra…Service Interruptions in Large-Scale Service Systems (2009)Service Interruptions in Larg…Revenue Optimization for a Make-to-Order Queue in an Uncertain Market Environment (2009)Revenue Optimization for a Ma…On a Data-Driven Method for Staffing Large Call Centers (2009)On a Data-Driven Method for S…Index Policies for the Admission Control and Routing of Impatient Customers to Heterogeneous Service Stations (2009)Index Policies for the Admiss…DYNAMIC ROUTING OF CUSTOMERS WITH GENERAL DELAY COSTS IN A MULTISERVER QUEUING SYSTEM (2009)DYNAMIC ROUTING OF CUSTOMERS …Brownian Motion and Stochastic Flow Systems. (1987)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Numerical Methods for Stochastic Control Problems in Continuous Time (1992)Flexible Service Capacity: Optimal Investment and the Impact of Demand Correlation (2002)Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)An introduction to queueing theory (1993)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)On the theory of queues with many servers (1955)Multiple channel queues in heavy traffic. I (1970)Resource Sharing for Efficiency in Traffic Systems (1981)Open and Closed Models for Networks of Queues (1984)Queueing Networks: A Survey of Their Random Processes (1985)Poisson Arrivals See Time Averages (1982)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Forecasting: theory and practice (2022)Jobshop-Like Queueing Systems (1963)Brownian Motion and Stochastic Calculus (2007)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Staffing of Time-Varying Queues to Achieve Time-Stable Performance (2008)Staffing and scheduling under nonstationary demand for service: A literature review (2015)Designing a Call Center with Impatient Customers (2002)Proceedings of the 2002 Winter Simulation Conference (2002)Statistical Analysis of a Telephone Call Center (2005)Call center outsourcing: Coordinating staffing level and service quality (2008)Monte Carlo Sampling Methods (2003)Staffing a Call Center with Uncertain Arrival Rate and Absenteeism (2006)Observing Stochastic Processes, and Approximate Transform Inversion (1966)Theory, Volume 1, Queueing Systems (1975)Applications of Queueing Theory (1985)The Physics of the Mt/G/∞ Queue (1993)Server Staffing to Meet Time-Varying Demand (1996)Improving the Sipp Approach for Staffing Service Systems That Have Cyclic Demands (2001)Modeling Term Structures of Defaultable Bonds (1999)Transform Analysis and Asset Pricing for Affine Jump-diffusions (2000)The jump-risk premia implicit in options: evidence from an integrated time-series study (2002)
this work references cited by second hop

References

  • 1981Point Processes and Queues1,652 cited
  • 2003Telephone Call Centers: Tutorial, Review, and Research Prospects1,360 cited
  • 1983Point Processes and Queues: Martingale Dynamics.1,065 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 2006Fluid Models for Multiserver Queues with Abandonments268 cited
  • 1991The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals257 cited
  • 1998Strong approximations for Markovian service networks254 cited
  • 1999Heavy traffic resource pooling in parallel‐server systems238 cited
  • 1981Comparing counting processes and queues184 cited
  • 2005A Method for Staffing Large Call Centers Based on Stochastic Fluid Models158 cited
  • 2006Design and Control of a Large Call Center: Asymptotic Analysis of an LP-Based Method145 cited
  • 2004Efficiency-Driven Heavy-Traffic Approximations for Many-Server Queues with Abandonments141 cited
  • 2004Dynamic Scheduling of a Multiclass Queue in the Halfin-Whitt Heavy Traffic Regime125 cited
  • 1991The Pointwise Stationary Approximation for Mt/Mt/s Queues Is Asymptotically Correct As the Rates Increase122 cited

Cited by

  • 2020

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Managing Supply in the On-Demand Economy: Flexible Workers, Full-Time Employees, or Both?
82 cited
  • 2010Operations in Financial Services—An Overview76 cited
  • 2017Managing Queueing Systems Where Capacity is Random and Customers are Impatient65 cited
  • 2009On a Data-Driven Method for Staffing Large Call Centers64 cited
  • 2014Staffing Call Centers with Uncertain Arrival Rates and Co‐sourcing50 cited
  • 2010Control of systems with flexible multi-server pools: a shadow routing approach48 cited
  • 2009Revenue Optimization for a Make-to-Order Queue in an Uncertain Market Environment47 cited
  • 2009DYNAMIC ROUTING OF CUSTOMERS WITH GENERAL DELAY COSTS IN A MULTISERVER QUEUING SYSTEM46 cited
  • 2009Index Policies for the Admission Control and Routing of Impatient Customers to Heterogeneous Service Stations45 cited
  • 2011Routing and Staffing in Large-Scale Service Systems: The Case of Homogeneous Impatient Customers and Heterogeneous Servers37 cited
  • 2009Service Interruptions in Large-Scale Service Systems36 cited
  • 2010An approximate dynamic programing approach to the development of heuristics for the scheduling of impatient jobs in a clearing system33 cited
  • 2021Managing price and fleet size for courier service with shared drones31 cited
  • 2012Many-server queues with customer abandonment: A survey of diffusion and fluid approximations31 cited
  • 2011Shadow-Routing Based Control of Flexible Multiserver Pools in Overload30 cited
  • 2012Dynamic Pricing with Financial Milestones: Feedback-Form Policies30 cited