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Continuity of a queueing integral representation in the M1 topology
3 references·4 citing·28 second hop
Continuity of a queueing integral representation in the M1 topology (2010)Continuity of a queueing integral represe…Heavy-traffic limits for many-server queues with service interruptions (2009)Heavy-traffic limits for many…Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Martingale proofs of many-ser…Diffusion approximations for queues with server vacations (1990)Diffusion approximations for …Uniform Polynomial Rates of Convergence for A Class of Lévy-Driven Controlled SDEs Arising in Multiclass Many-Server Queues (2019)Uniform Polynomial Rates of C…G/G/∞ queues with renewal alternating interruptions (2016)G/G/∞ queues with renewal alt…$$G/{ GI}/N(+{ GI})$$ queues with service interruptions in the Halfin–Whitt regime (2015)$$G/{ GI}/N(+{ GI})$$ queues …Small noise asymptotics and first passage times of integrated Ornstein–Uhlenbeck processes driven by $\alpha$-stable Lévy processes (2014)Small noise asymptotics and f…Processes of normal inverse Gaussian type (1997)Stochastic-process limits : an introduction to stochastic-process limits and their application to queues (2002)Integrated OU Processes and Non‐Gaussian OU‐based Stochastic Volatility Models (2003)Financial Modelling with Jump Processes (2003)Stochastic Integration and Differential Equations (2005)Brownian Motion and Stochastic Calculus (2007)Service Interruptions in Large-Scale Service Systems (2009)Approximations for the Queue Length Distributions of Time-Varying Many-Server Queues (2017)Ergodicity of a Lévy-driven SDE arising from multiclass many-server queues (2019)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Fluid Models for Multiserver Queues with Abandonments (2006)Poisson Arrivals See Time Averages (1982)Queueing systems with vacations ? A survey (1986)Applied Probability and Queues (1987)Diffusion approximations for open queueing networks with service interruptions (1993)Fluid and diffusion limits for queues in slowly changing environments (1997)Many-server heavy-traffic limit for queues with time-varying parameters (2014)A Many-Server Queue with Service Interruptions (1968)On the heavy-traffic limit theorem forGI/G/∞ queues (1982)A new view of the heavy-traffic limit theorem for infinite-server queues (1991)Existence of strong solutions for Itô's stochastic equations via approximations (1996)Multiclass multiserver queueing system in the Halfin–Whitt heavy traffic regime: asymptotics of the stationary distribution (2012)Point Processes and Queues (1981)Limit Theorems for Stochastic Processes (1987)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Queue-and-Idleness-Ratio Controls in Many-Server Service Systems (2009)Law of large numbers limits for many-server queues (2010)Join the Shortest Queue with Many Servers. The Heavy-Traffic Asymptotics (2018)
this work references cited by second hop

References

  • 2007Martingale proofs of many-server heavy-traffic limits for Markovian queues183 cited
  • 1990Diffusion approximations for queues with server vacations58 cited
  • 2009Heavy-traffic limits for many-server queues with service interruptions37 cited

Cited by

  • 2014Small noise asymptotics and first passage times of integrated Ornstein–Uhlenbeck processes driven by $\alpha$-stable Lévy processes17 cited
  • 2015$$G/{ GI}/N(+{ GI})$$ queues with service interruptions in the Halfin–Whitt regime10 cited
  • 2019Uniform Polynomial Rates of Convergence for A Class of Lévy-Driven Controlled SDEs Arising in Multiclass Many-Server Queues10 cited
  • 2016G/G/∞ queues with renewal alternating interruptions10 cited

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