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Large deviations of the steady-state distribution of reflected processes with applications to queueing systems
13 references·2 citing·37 second hop
Large deviations of the steady-state distribution of reflected processes with applications to queueing systems (1998)Large deviations of the steady-state dist…Large deviations analysis of the generalized processor sharing policy (1999)Large deviations analysis of …Convex duality and the Skorokhod Problem. II (1999)Convex duality and the Skorok…Large deviations and the generalized processor sharing scheduling for a multiple-queue system (1998)Large deviations and the gene…A Skorokhod Problem formulation and large deviation analysis of a processor sharing model (1998)A Skorokhod Problem formulati…Sample path large deviations and intree networks (1995)Sample path large deviations …Brownian models of multiclass queueing networks: Current status and open problems (1993)Brownian models of multiclass…Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis (1992)Reflected Brownian Motion in …Brownian Models of Feedforward Queueing Networks: Quasireversibility and Product Form Solutions (1992)Brownian Models of Feedforwar…Regulations dÉterminates et stochastiques dans le premier “orthant” de R N (1991)Regulations dÉterminates et s…On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)On lipschitz continuity of th…A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types (1991)A Heavy Traffic Limit Theorem…Reflected Brownian Motion on an Orthant (1981)Reflected Brownian Motion on …Programming, Games and Transportation Networks. (1967)Programming, Games and Transp…Tail asymptotics for a Lévy-driven tandem queue with an intermediate input (2009)Tail asymptotics for a Lévy-d…A time-reversed representation for the tail probabilities of stationary reflected Brownian motion (2002)A time-reversed representatio…Stochastic differential equations with reflecting boundary condition in convex regions (1979)Open Queueing Networks in Heavy Traffic (1984)Stochastic differential equations with reflecting boundary conditions (1984)A Subsidy-Surplus Model and the Skorokhod Problem in an Orthant (2000)Sequencing and Routing in Multiclass Queueing Networks Part II: Workload Relaxations (2003)Reflected Diffusions Defined via the Extended Skorokhod Map (2006)Networks of Waiting Lines (1957)The Queueing Network Analyzer (1983)Brownian Motion and Stochastic Flow Systems. (1987)Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling (1993)Queueing theory in manufacturing: A survey (1999)Queueing Theory for Semiconductor Manufacturing Systems: A Survey and Open Problems (2007)Introduction to Queueing Networks (1987)Validity of heavy traffic steady-state approximations in generalized Jackson networks (2006)The stability of a queue with non-independent inter-arrival and service times (1962)Comparison Methods for Queues and Other Stochastic Models. (1986)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Asymptotic buffer overflow probabilities in multiclass multiplexers: an optimal control approach (1998)On the large deviations behavior of acyclic networks of $G/G/1$ queues (1998)Light tail asymptotics in multidimensional reflecting processes for queueing networks (2011)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Heavy Traffic Convergence of a Controlled, Multiclass Queueing System (1996)Dynamic Scheduling Rules for a Multiproduct Make-to-Stock Queue (1997)An invariance principle for semimartingale reflecting Brownian motions in an orthant (1998)Jobshop-Like Queueing Systems (2004)Convex duality and the Skorokhod Problem. I (1999)Diffusion approximation for a processor sharing queue in heavy traffic (2004)Tandem Brownian queues (2007)Positive Harris recurrence and diffusion scale analysis of a push pull queueing network (2009)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)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Traffic Equilibria Analysed via Geometric Programming (1976)Postmodernism and the Social Theory of Value (1991)Intellectual Trespassing as a Way of Life: Essays in Philosophy, Economics, and Mathematics (1995)
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References

  • 1981Reflected Brownian Motion on an Orthant390 cited
  • 1991On lipschitz continuity of the solution mapping to the skorokhod problem, with applications255 cited
  • 1967Programming, Games and Transportation Networks.223 cited
  • 1993Brownian models of multiclass queueing networks: Current status and open problems177 cited
  • 1992Reflected Brownian Motion in an Orthant: Numerical Methods for Steady-State Analysis167 cited
  • 1991A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types103 cited
  • 1999Convex duality and the Skorokhod Problem. II100 cited
  • 1995Sample path large deviations and intree networks82 cited
  • 1991Regulations dÉterminates et stochastiques dans le premier “orthant” de R N72 cited
  • 1992Brownian Models of Feedforward Queueing Networks: Quasireversibility and Product Form Solutions70 cited
  • 1999Large deviations analysis of the generalized processor sharing policy53 cited
  • 1998Large deviations and the generalized processor sharing scheduling for a multiple-queue system43 cited
  • 1998A Skorokhod Problem formulation and large deviation analysis of a processor sharing model40 cited

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  • 2002A time-reversed representation for the tail probabilities of stationary reflected Brownian motion

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29 cited
  • 2009Tail asymptotics for a Lévy-driven tandem queue with an intermediate input24 cited