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Stability and nonproduct form of stochastic fluid networks with Lévy inputs
15 references·12 citing·40 second hop
Stability and nonproduct form of stochastic fluid networks with Lévy inputs (1996)Stability and nonproduct form of stochast…Applied Probability and Queues (2003)Applied Probability and QueuesStability and structural properties of stochastic storage networks (1996)Stability and structural prop…On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On Positive Harris Recurrence…Stability of Generalized Jackson Networks (1994)Stability of Generalized Jack…On the stability of open networks: A unified approach by stochastic dominance (1994)On the stability of open netw…Ergodicity of Jackson-type queueing networks (1994)Ergodicity of Jackson-type qu…Parallel and Tandem Fluid Networks with Dependent Levy Inputs (1993)Parallel and Tandem Fluid Net…Useful martingales for stochastic storage processes with Lévy input (1992)Useful martingales for stocha…A Storage Model with a Two-State Random Environment (1992)A Storage Model with a Two-St…A Fluid Model for Systems with Random Disruptions (1992)A Fluid Model for Systems wit…Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Discrete Flow Networks: Bottl…Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Stochastic theory of a fluid …Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)Brownian models of open queue…Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…Applications of Queueing Theory (1982)Applications of Queueing Theo…Steady-state simulation of reflected Brownian motion and related stochastic networks (2015)Steady-state simulation of re…Lévy-driven queues (2011)Lévy-driven queuesQuasi-Product Forms for Lévy-Driven Fluid Networks (2007)Quasi-Product Forms for Lévy-…Quasi-product forms for Lévy-driven fluid networks (2006)Quasi-product forms for Lévy-…On a Class of Lévy Stochastic Networks (2004)On a Class of Lévy Stochastic…The Reflection Map with Discontinuities (2001)The Reflection Map with Disco…Markov-modulated Feedforward Fluid Networks (2001)Markov-modulated Feedforward …Joint Distributions for Interacting Fluid Queues (2001)Joint Distributions for Inter…Tandem fluid queues fed by homogeneous on–off sources (2000)Tandem fluid queues fed by ho…Non-product form of two-dimensional fluid networks with dependent Lévy inputs (2000)Non-product form of two-dimen…Linear stochastic fluid networks (1999)Linear stochastic fluid netwo…Stochastic storage networks: stationarity and the feedforward case (1997)Stochastic storage networks: …The stability of a queue with non-independent inter-arrival and service times (1962)Jobshop-Like Queueing Systems (1963)Piecewise linear test functions for stability and instability of queueing networks (1997)Moments and Tails in Monotone-Separable Stochastic Networks (2001)Jobshop-Like Queueing Systems (2004)Networks of Waiting Lines (1957)Queueing systems, volume II: computer applications (1977)Brownian Motion and Stochastic Flow Systems. (1987)On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)Stochastic Discrete Flow Networks: Diffusion Approximations and Bottlenecks (1991)Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines (1995)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Planning Queueing Simulations (1989)Fluctuations of Lévy Processes with Applications (2014)Decomposability: Queueing and Computer System Applications (1977)Matrix-Geometric Solutions to Stochastic Models (1984)Re-entrant lines (1993)Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines (1996)Throughput analysis of production systems: recent advances and future topics (2008)Point Processes and Queues (1981)Applied Probability and Queues (1987)Limit Theorems for Stochastic Processes (1987)Rate conservation laws: A survey (1994)A generalized impulse control model of cash management (2003)Useful Martingales for Stochastic Storage Processes with Lévy-Type Input (2013)Stability conditions for multiclass fluid queueing networks (1996)Stability of Queueing Networks (2008)Stability of queueing networks (2008)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES (2004)Control Techniques for Complex Networks (2007)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Traffic modeling for telecommunications networks (1994)Networks of infinite-server queues with nonstationary Poisson input (1993)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)A Review of Public Transport Economics (2020)An Introduction to Numerical Transform Inversion and Its Application to Probability Models (2000)M/G/1 queue with multiple working vacations (2005)A Stochastic Model for Order Book Dynamics (2010)
this work references cited by second hop

References

  • 2003Applied Probability and Queues1,453 cited
  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models886 cited
  • 1988Stochastic theory of a fluid model of producers and consumers coupled by a buffer419 cited
  • 1987Brownian models of open queueing networks with homogeneous customer populations ∗312 cited
  • 1982Applications of Queueing Theory298 cited
  • 1991Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations241 cited
  • 1994Stability of Generalized Jackson Networks170 cited
  • 1992Useful martingales for stochastic storage processes with Lévy input114 cited
  • 1994Ergodicity of Jackson-type queueing networks97 cited
  • 1992A Storage Model with a Two-State Random Environment88 cited
  • 1992A Fluid Model for Systems with Random Disruptions75 cited
  • 1996Stability and structural properties of stochastic storage networks69 cited
  • 1993Parallel and Tandem Fluid Networks with Dependent Levy Inputs56 cited
  • 1994On the stability of open networks: A unified approach by stochastic dominance45 cited

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Cited by

  • 2015Steady-state simulation of reflected Brownian motion and related stochastic networks32 cited
  • 2007Quasi-Product Forms for Lévy-Driven Fluid Networks28 cited
  • 1999Linear stochastic fluid networks27 cited
  • 2004On a Class of Lévy Stochastic Networks24 cited
  • 2006Quasi-product forms for Lévy-driven fluid networks24 cited
  • 1997Stochastic storage networks: stationarity and the feedforward case23 cited
  • 2001The Reflection Map with Discontinuities18 cited
  • 2001Joint Distributions for Interacting Fluid Queues18 cited
  • 2001Markov-modulated Feedforward Fluid Networks15 cited
  • 2000Non-product form of two-dimensional fluid networks with dependent Lévy inputs13 cited
  • 2011Lévy-driven queues12 cited
  • 2000Tandem fluid queues fed by homogeneous on–off sources12 cited