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Diffusion Approximation in Overloaded Switching Queueing Models
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Diffusion Approximation in Overloaded Switching Queueing Models (2002)Diffusion Approximation in Overloaded Swi…Heavy Traffic Limits for Some Queueing Networks (2001)Heavy Traffic Limits for Some…Analysis of Markov Multiserver Retrial Queues with Negative Arrivals (2001)Analysis of Markov Multiserve…A heavy traffic limit theorem for a class of open queueing networks with finite buffers (1999)A heavy traffic limit theorem…Strong approximations for Markovian service networks (1998)Strong approximations for Mar…State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limits (1998)State-dependent stochastic ne…State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)State space collapse with app…Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Diffusion approximations for …Retrial Queues (1997)Retrial QueuesStrong Approximations for Time-Dependent Queues (1995)Strong Approximations for Tim…Theory of Martingales (1989)Theory of MartingalesA multiclass feedback queue in heavy traffic (1988)A multiclass feedback queue i…Introduction to Queueing Networks (1987)Introduction to Queueing Netw…Open Queueing Networks in Heavy Traffic (1984)Open Queueing Networks in Hea…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…Limiting diffusion approximations for the many server queue and the repairman problem (1965)Limiting diffusion approximat…On Queues in Heavy Traffic (1962)Stochastic Processes in Queueing Theory (1976)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)A new view of the heavy-traffic limit theorem for infinite-server queues (1991)The multiclass GI/PH/N queue in the Halfin-Whitt regime (2000)Operational Research: methods and applications (2023)Networks of Waiting Lines (1957)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)Jobshop-Like Queueing Systems (1963)Brownian Motion and Stochastic Calculus (2007)Staffing of Time-Varying Queues to Achieve Time-Stable Performance (2008)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design (2004)Maximum Pressure Policies in Stochastic Processing Networks (2005)Product-form queueing networks with negative and positive customers (1991)Bits through queues (1996)Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines (1996)Contact Centers with a Call-Back Option and Real-Time Delay Information (2004)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Maintenance spare parts planning and control: a framework for control and agenda for future research (2014)The truncated normal distribution: Applications to queues with impatient customers (2014)Control of Patient Flow in Emergency Departments, or Multiclass Queues with Deadlines and Feedback (2015)Staffing and scheduling under nonstationary demand for service: A literature review (2015)An Elementary Approach to a Girsanov Formula and Other Analytical Results on Fractional Brownian Motions (1999)Mixed Fractional Brownian Motion (2001)Arbitrage in fractional Brownian motion models (2003)Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs (2001)Queueing Models of Call Centers: An Introduction (2002)Call center outsourcing: Coordinating staffing level and service quality (2008)Stability of Queueing Networks (2008)Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)
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References

  • 1989Theory of Martingales956 cited
  • 1997Retrial Queues884 cited
  • 1987Introduction to Queueing Networks688 cited
  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 1998State space collapse with application to heavy traffic limits for multiclass queueing networks309 cited
  • 1998Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse264 cited
  • 1998Strong approximations for Markovian service networks254 cited
  • 1965Limiting diffusion approximations for the many server queue and the repairman problem211 cited
  • 1995Strong Approximations for Time-Dependent Queues144 cited
  • 1982On the heavy-traffic limit theorem forGI/G/∞ queues132 cited
  • 1998State-dependent stochastic networks. Part I. Approximations and applications with continuous diffusion limits102 cited
  • 1982On the heavy-traffic limit theorem for GI/G/∞ queues102 cited
  • 2001Heavy Traffic Limits for Some Queueing Networks71 cited
  • 1988A multiclass feedback queue in heavy traffic63 cited
  • 2001Analysis of Markov Multiserver Retrial Queues with Negative Arrivals60 cited

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1999
A heavy traffic limit theorem for a class of open queueing networks with finite buffers
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