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Directional Derivatives of Oblique Reflection Maps
16 references·2 citing·35 second hop
Directional Derivatives of Oblique Reflection Maps (2010)Directional Derivatives of Oblique Reflec…An explicit formula for the Skorokhod map on [0,a (2012)An explicit formula for the S…An explicit formula for the Skorokhod map on [0, a] (2007)An explicit formula for the S…Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Telephone Call Centers: Tutor…Stochastic-process limits : an introduction to stochastic-process limits and their application to queues (2002)Stochastic-process limits : a…Heavy Traffic Analysis of Controlled Queueing and Communication Networks (2001)Heavy Traffic Analysis of Con…Strong approximations for Markovian service networks (1998)Strong approximations for Mar…Strong Approximations for Time-Dependent Queues (1995)Strong Approximations for Tim…Networks of infinite-server queues with nonstationary Poisson input (1993)Networks of infinite-server q…Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks (1991)Stochastic Discrete Flow Netw…On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)On lipschitz continuity of th…Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Discrete Flow Networks: Bottl…Brownian Motion and Stochastic Flow Systems. (1987)Brownian Motion and Stochasti…Applications of Queueing Theory (1985)Applications of Queueing Theo…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…Reflected Brownian Motion on an Orthant (1981)Reflected Brownian Motion on …Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Heavy-Traffic Limits for Queu…Heavy traffic scaling limits for shortest remaining processing time queues with heavy tailed processing time distributions (2022)Heavy traffic scaling limits …Asymptotically Optimal Controls for Time-Inhomogeneous Networks (2011)Asymptotically Optimal Contro…Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)An introduction to queueing theory (1993)Designing a Call Center with Impatient Customers (2002)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Stochastic differential equations with reflecting boundary condition in convex regions (1979)Stochastic differential equations with reflecting boundary conditions (1984)Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant (1993)Problàme de Skorohod multivoque (1998)State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limits (1998)Networks of Waiting Lines (1957)Queueing systems, volume II: computer applications (1977)Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines (1995)Multiple channel queues in heavy traffic. I (1970)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)Poisson Arrivals See Time Averages (1982)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Statistical Analysis of a Telephone Call Center (2005)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)Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers (2005)Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback (2015)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Steady-state simulation of queueing processes: survey of problems and solutions (1990)The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals (1991)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)Time-changed Lévy processes and option pricing (2003)Selection, Growth, and the Size Distribution of Firms (2007)A Continuous-Time Version of the Principal–Agent Problem (2008)
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References

  • 2003Telephone Call Centers: Tutorial, Review, and Research Prospects1,360 cited
  • 1987Brownian Motion and Stochastic Flow Systems.1,091 cited
  • 1981Heavy-Traffic Limits for Queues with Many Exponential Servers750 cited
  • 2002Stochastic-process limits : an introduction to stochastic-process limits and their application to queues468 cited
  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 1981Reflected Brownian Motion on an Orthant390 cited
  • 1985Applications of Queueing Theory329 cited
  • 1991On lipschitz continuity of the solution mapping to the skorokhod problem, with applications255 cited
  • 1998Strong approximations for Markovian service networks254 cited
  • 1991Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations241 cited
  • 2001Heavy Traffic Analysis of Controlled Queueing and Communication Networks201 cited
  • 1993Networks of infinite-server queues with nonstationary Poisson input192 cited
  • 2012An explicit formula for the Skorokhod map on [0,a160 cited
  • 1991Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks152 cited
  • 1995Strong Approximations for Time-Dependent Queues144 cited

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  • 2007An explicit formula for the Skorokhod map on [0, a]139 cited
  • Cited by

    • 2011Asymptotically Optimal Controls for Time-Inhomogeneous Networks17 cited
    • 2022Heavy traffic scaling limits for shortest remaining processing time queues with heavy tailed processing time distributions14 cited