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Approximations for the Queue Length Distributions of Time-Varying Many-Server Queues
16 references·6 citing·40 second hop
Approximations for the Queue Length Distributions of Time-Varying Many-Server Queues (2017)Approximations for the Queue Length Distr…The truncated normal distribution: Applications to queues with impatient customers (2014)The truncated normal distribu…Many-server diffusion limits for G/Ph/n+GI queues (2010)Many-server diffusion limits …The G/GI/N queue in the Halfin–Whitt regime (2009)The G/GI/N queue in the Halfi…Fluid Models for Multiserver Queues with Abandonments (2006)Fluid Models for Multiserver …Statistical Analysis of a Telephone Call Center (2005)Statistical Analysis of a Tel…Matching Three Moments with Minimal Acyclic Phase Type Distributions (2005)Matching Three Moments with M…Closed form solutions for mapping general distributions to quasi-minimal PH distributions (2005)Closed form solutions for map…The multiclass GI/PH/N queue in the Halfin-Whitt regime (2000)The multiclass GI/PH/N queue …Strong approximations for Markovian service networks (1998)Strong approximations for Mar…The Physics of the Mt/G/∞ Queue (1993)The Physics of the Mt/G/∞ Que…On the heavy-traffic limit theorem forGI/G/∞ queues (1982)On the heavy-traffic limit th…On the heavy-traffic limit theorem for GI/G/∞ queues (1982)On the heavy-traffic limit th…Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…Stochastic Differential Equations: Theory and Applications. (1976)Stochastic Differential Equat…STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS (1976)STOCHASTIC DIFFERENTIAL EQUAT…Networks of queues and the method of stages (1976)Networks of queues and the me…A STOCHASTIC ANALYSIS OF BIKE-SHARING SYSTEMS (2020)A STOCHASTIC ANALYSIS OF BIKE…Strong approximations for time-varying infinite-server queues with non-renewal arrival and service processes (2018)Strong approximations for tim…Dynamic rate Erlang-A queues (2018)Dynamic rate Erlang-A queuesAPPROXIMATING AND STABILIZING DYNAMIC RATE JACKSON NETWORKS WITH ABANDONMENT (2017)APPROXIMATING AND STABILIZING…Optimal staffing in nonstationary service centers with constraints (2016)Optimal staffing in nonstatio…A Law of Large Numbers for M/M/c/Delayoff-Setup Queues with Nonstationary Arrivals (2016)A Law of Large Numbers for M/…Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)The least variable phase type distribution is erlang (1987)KPC-Toolbox: Simple Yet Effective Trace Fitting Using Markovian Arrival Processes (2008)Multi-class Markovian arrival processes and their parameter fitting (2010)A decomposition method for approximate evaluation of continuous flow multi-stage lines with general Markovian machines (2011)An introduction to queueing theory (1993)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Point Processes and Queues (1981)Theory of Martingales (1989)Limit Theorems for Stochastic Processes (2003)The cμ/θ Rule for Many-Server Queues with Abandonment (2010)Queues with Many Servers and Impatient Customers (2012)Operational Research: methods and applications (2023)Stochastic Modeling and the Theory of Queues (1989)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)Forecasting: theory and practice (2022)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)An integrated production and inventory model to dampen upstream demand variability in the supply chain (2006)A Markovian canonical form of second-order matrix-exponential processes (2007)A refined EM algorithm for PH distributions (2011)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)Call center outsourcing: Coordinating staffing level and service quality (2008)The Impact of Delay Announcements in Many-Server Queues with Abandonment (2008)Comparison Methods for Queues and Other Stochastic Models. (1986)The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals (1991)Networks of infinite-server queues with nonstationary Poisson input (1993)Server Staffing to Meet Time-Varying Demand (1996)Blocking When Service Is Required From Several Facilities Simultaneously (1985)Minimizing the Probability of Ruin When Claims Follow Brownian Motion with Drift (2005)Continuous Time Structural Equation Modeling with R Package ctsem (2017)Option Pricing when the Variance Changes Randomly: Theory, Estimation, and an Application (1987)ARCH models as diffusion approximations (1990)A Model of Intertemporal Asset Prices Under Asymmetric Information (1993)
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References

  • 1976Stochastic Differential Equations: Theory and Applications.2,351 cited
  • 1976STOCHASTIC DIFFERENTIAL EQUATIONS: THEORY AND APPLICATIONS1,088 cited
  • 2005Statistical Analysis of a Telephone Call Center804 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 2006Fluid Models for Multiserver Queues with Abandonments268 cited
  • 1998Strong approximations for Markovian service networks254 cited
  • 1993The Physics of the Mt/G/∞ Queue239 cited
  • 2005Matching Three Moments with Minimal Acyclic Phase Type Distributions159 cited
  • 2009The G/GI/N queue in the Halfin–Whitt regime146 cited
  • 2005Closed form solutions for mapping general distributions to quasi-minimal PH distributions140 cited
  • 1976Networks of queues and the method of stages135 cited
  • 1982On the heavy-traffic limit theorem forGI/G/∞ queues132 cited
  • 2014The truncated normal distribution: Applications to queues with impatient customers122 cited
  • 2000The multiclass GI/PH/N queue in the Halfin-Whitt regime117 cited
  • 1982On the heavy-traffic limit theorem for GI/G/∞ queues102 cited
  • 2010

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Many-server diffusion limits for G/Ph/n+GI queues
100 cited

Cited by

  • 2016A Law of Large Numbers for M/M/c/Delayoff-Setup Queues with Nonstationary Arrivals26 cited
  • 2016Optimal staffing in nonstationary service centers with constraints21 cited
  • 2017APPROXIMATING AND STABILIZING DYNAMIC RATE JACKSON NETWORKS WITH ABANDONMENT21 cited
  • 2018Dynamic rate Erlang-A queues21 cited
  • 2018Strong approximations for time-varying infinite-server queues with non-renewal arrival and service processes18 cited
  • 2020A STOCHASTIC ANALYSIS OF BIKE-SHARING SYSTEMS9 cited