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Excursion-Based Universal Approximations for the Erlang-A Queue in Steady-State
16 references·6 citing·27 second hop
Excursion-Based Universal Approximations for the Erlang-A Queue in Steady-State (2013)Excursion-Based Universal Approximations …Advances in Queueing Theory, Methods, and Open Problems (2023)Advances in Queueing Theory, …Introduction to Stochastic Calculus with Applications (2012)Introduction to Stochastic Ca…Staffing of Time-Varying Queues to Achieve Time-Stable Performance (2008)Staffing of Time-Varying Queu…Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Martingale proofs of many-ser…Brownian Motion and Stochastic Calculus (2007)Brownian Motion and Stochasti…Introduction to Stochastic Calculus with Applications (2005)Introduction to Stochastic Ca…Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue (2005)Call Centers with Impatient C…Dimensioning Large Call Centers (2004)Dimensioning Large Call Cente…Applied Probability and Queues (2003)Applied Probability and QueuesDesigning a Call Center with Impatient Customers (2002)Designing a Call Center with …Fundamentals of Queueing Networks (2001)Fundamentals of Queueing Netw…Strong approximations for Markovian service networks (1998)Strong approximations for Mar…Brownian Motion and Stochastic Calculus. (1989)Brownian Motion and Stochasti…Applied Probability and Queues (1987)Applied Probability and QueuesHeavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…Limiting diffusion approximations for the many server queue and the repairman problem (1965)Limiting diffusion approximat…Transform Methods for Heavy-Traffic Analysis (2020)Transform Methods for Heavy-T…New perspectives on the Erlang-A queue (2019)New perspectives on the Erlan…On the Distributions of Infinite Server Queues With Batch Arrivals (2018)On the Distributions of Infin…Heavy Traffic Approximation for the Stationary Distribution of a Generalized Jackson Network: The BAR Approach (2017)Heavy Traffic Approximation f…Beyond Heavy-Traffic Regimes: Universal Bounds and Controls for the Single-Server Queue (2016)Beyond Heavy-Traffic Regimes:…Stein's method for steady-state diffusion approximations of $M/Ph/n+M$ systems (2015)Stein's method for steady-sta…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)Introduction to Queueing Theory. (1982)On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design (2004)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization (2004)A survey of retrial queueing systems (2015)Pricing in Ride-Share Platforms: A Queueing-Theoretic Approach (2015)Answering the Skeptics: Yes, Standard Volatility Models do Provide Accurate Forecasts (1998)Modeling and Forecasting Realized Volatility (2003)Controlled Markov Processes and Viscosity Solutions (2005)Applied Stochastic Processes and Control for Jump-Diffusions: Modeling, Analysis and Computation (2007)Subexponential tails of discounted aggregate claims in a time-dependent renewal risk model (2010)Numerical Solution of Stochastic Differential Equations (2016)Proceedings of the 2002 Winter Simulation Conference (2002)Foundations and Implications of a Proposed Unified Services Theory (2006)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)A Tractable Framework for Zero-Lower-Bound Gaussian Term Structure Models (2013)Chapter 49 Arch models (1994)High-Frequency Data and Volatility in Foreign-Exchange Rates (1996)Expectation puzzles, time-varying risk premia, and affine models of the term structure (2002)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)M/G/1 queue with multiple working vacations (2005)A Stochastic Model for Order Book Dynamics (2010)
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  • 2005Call Centers with Impatient Customers: Many-Server Asymptotics of the M/M/n + G Queue275 cited
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  • 1965Limiting diffusion approximations for the many server queue and the repairman problem211 cited
  • 2008Staffing of Time-Varying Queues to Achieve Time-Stable Performance194 cited
  • 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues183 cited
  • 2023Advances in Queueing Theory, Methods, and Open Problems

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165 cited

Cited by

  • 2020Transform Methods for Heavy-Traffic Analysis34 cited
  • 2017Heavy Traffic Approximation for the Stationary Distribution of a Generalized Jackson Network: The BAR Approach27 cited
  • 2016Beyond Heavy-Traffic Regimes: Universal Bounds and Controls for the Single-Server Queue25 cited
  • 2018On the Distributions of Infinite Server Queues With Batch Arrivals17 cited
  • 2015Stein's method for steady-state diffusion approximations of $M/Ph/n+M$ systems16 cited
  • 2019New perspectives on the Erlang-A queue15 cited