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A functional central limit theorem for the M/GI/∞ queue
9 references·1 citing·36 second hop
A functional central limit theorem for the M/GI/∞ queue (2008)A functional central limit theorem for th…Stochastic Networks and Queues (2003)Stochastic Networks and QueuesElements of Queueing Theory (2003)Elements of Queueing TheoryThe fluid limit of a heavily loaded processor sharing queue (2002)The fluid limit of a heavily …Real-time queues in heavy traffic with earliest-deadline-first queue discipline (2001)Real-time queues in heavy tra…Stochastic Differential Equations in Infinite Dimensional Spaces (1997)Stochastic Differential Equat…Transient characteristics of an M/M/∞ system (1995)Transient characteristics of …Stochastic differential equations in infinite-dimensional spaces (1995)Stochastic differential equat…Semimartingales: A course on stochastic processes (1986)Semimartingales: A course on …On limit laws for service processes in multi-channel systems (1967)On limit laws for service pro…On queues with impatience: stability, and the optimality of Earliest Deadline First (2013)On queues with impatience: st…The stability of a queue with non-independent inter-arrival and service times (1962)Single-server queues with impatient customers (1984)Weak convergence in queueing theory (1973)The multiclass GI/PH/N queue in the Halfin-Whitt regime (2000)Introduction to the Theory of Random Processes (2002)Queues with Many Servers and Impatient Customers (2012)The single server queue in heavy traffic (1961)Multiple channel queues in heavy traffic. I (1970)Brownian Motion and Stochastic Flow Systems. (1987)A Diffusion Approximation for a GI/GI/1 Queue with Balking or Reneging (2005)SCHEDULING IMPATIENT JOBS IN A CLEARING SYSTEM WITH INSIGHTS ON PATIENT TRIAGE IN MASS CASUALTY INCIDENTS (2008)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)Diffusion approximation for a processor sharing queue in heavy traffic (2004)Steady state approximations of limited processor sharing queues in heavy traffic (2008)Fluid Limits for Shortest Remaining Processing Time Queues (2009)Introduction to Congestion Theory in Telephone Systems. (1962)Asymptotic Methods in Queueing Theory. (1986)Limit Theorems for Stochastic Processes (1987)M/M/∞ transience revisited (1997)On the rates of convergence of Erlang's model (1999)Time-limited polling systems with batch arrivals and phase-type service times (2011)INFORMATION COSTS, PRICING, AND RESOURCE UNEMPLOYMENT (1969)Martingale Methods in Financial Modelling (1997)Simulation modeling for analysis (2010)McKean-Vlasov Ito-Skorohod equations, and nonlinear diffusions with discrete jump sets (1992)Differential Subordination and Strong Differential Subordination for Continuous-Time Martingales and Related Sharp Inequalities (1995)Useful Martingales for Stochastic Storage Processes with Lévy-Type Input (2013)Existence, Uniqueness and Regularity of Parabolic SPDEs Driven by Poisson Random Measure (2005)Construction of strong solutions of SDE's via Malliavin calculus (2009)A variational approach to the construction and Malliavin differentiability of strong solutions of SDE’s (2013)A characterization of hedging portfolios for interest rate contingent claims (2004)A theory of bond portfolios (2005)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Stability of Parallel Queueing Systems with Coupled Service Rates (2007)Asymptotically optimal priority policies for indexable and nonindexable restless bandits (2016)
this work references cited by second hop

References

  • 2003Elements of Queueing Theory596 cited
  • 2003Stochastic Networks and Queues297 cited
  • 1986Semimartingales: A course on stochastic processes199 cited
  • 1995Stochastic differential equations in infinite-dimensional spaces191 cited
  • 2001Real-time queues in heavy traffic with earliest-deadline-first queue discipline146 cited
  • 1997Stochastic Differential Equations in Infinite Dimensional Spaces129 cited
  • 1967On limit laws for service processes in multi-channel systems126 cited
  • 2002The fluid limit of a heavily loaded processor sharing queue108 cited
  • 1995Transient characteristics of an M/M/∞ system50 cited

Cited by

  • 2013On queues with impatience: stability, and the optimality of Earliest Deadline First30 cited

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