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Stability of Open Multiclass Queueing Networks via Fluid Models
13 references·10 citing·32 second hop
Stability of Open Multiclass Queueing Networks via Fluid Models (1995)Stability of Open Multiclass Queueing Net…Piecewise linear test functions for stability of queueing networks (2002)Piecewise linear test functio…Stability and Instability of Fluid Models for Reentrant Lines (1996)Stability and Instability of …Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons (1996)Existence and Uniqueness of S…Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)Stability and convergence of …On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On Positive Harris Recurrence…Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines (1995)Fluid Approximations and Stab…Stability of Generalized Jackson Networks (1994)Stability of Generalized Jack…Instability of FIFO Queueing Networks (1994)Instability of FIFO Queueing …Instability of FIFO Queueing Networks with Quick Service Times (1994)Instability of FIFO Queueing …Hierarchical Modeling of Stochastic Networks, Part I: Fluid Models (1994)Hierarchical Modeling of Stoc…Nonexistence of Brownian models for certain multiclass queueing networks (1993)Nonexistence of Brownian mode…Brownian models of multiclass queueing networks: Current status and open problems (1993)Brownian models of multiclass…Networks of queues with customers of different types (1975)Networks of queues with custo…Concave switching in single and multihop networks (2014)Concave switching in single a…Measurement and optimization of robust stability of multiclass queueing networks: Applications in dynamic supply chains (2013)Measurement and optimization …Stochastic networks and activity analysis (2002)Stochastic networks and activ…Single Class Queueing Networks with Discrete and Fluid Customers on the Time Interval R (2000)Single Class Queueing Network…Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines (2000)Diffusion Approximations for …Dynamic scheduling in multiclass queueing networks: Stability under discrete-review policies (1999)Dynamic scheduling in multicl…A stability criterion via fluid limits and its application to a polling system (1999)A stability criterion via flu…Global Stability of Two-Station Queueing Networks (1996)Global Stability of Two-Stati…Dobrushin′s approach to queueing network theory (1996)Dobrushin′s approach to queue…Balanced Fluid Models of Multiclass Queueing Networks: A Heavy Traffic Conjecture (1995)Balanced Fluid Models of Mult…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)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Stochastic Differential Equations and Diffusion Processes (1981)Open Queueing Networks in Heavy Traffic (1984)An invariance principle for semimartingale reflecting Brownian motions in an orthant (1998)Reflected Diffusions Defined via the Extended Skorokhod Map (2006)Hybrid Atlas models (2011)Analysis of polling systems (1985)Markov Models & Optimization (1993)Adversarial queuing theory (2001)Maximum Pressure Policies in Stochastic Processing Networks (2005)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)A fluid limit model criterion for instability of multiclass queueing networks (1996)Jobshop-Like Queueing Systems (2004)Reflected Brownian Motion on an Orthant (1981)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Stability of Multiclass Queueing Networks Under FIFO Service Discipline (1997)Stability conditions for multiclass fluid queueing networks (1996)Stability of Queueing Networks (2008)Stability of queueing networks (2008)SCHEDULING IN A QUEUING SYSTEM WITH ASYNCHRONOUSLY VARYING SERVICE RATES (2004)Control Techniques for Complex Networks (2007)Stationary state probabilities at arrival instants for closed queueing networks with multiple types of customers (1980)Multiproduct Queueing Networks with Deterministic Routing: Decomposition Approach and the Notion of Interference (1988)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)A Continuum Model for a Re-entrant Factory (2006)Time Allocation and Task Juggling (2014)
this work references cited by second hop

References

  • 1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models886 cited
  • 1995Stability and convergence of moments for multiclass queueing networks via fluid limit models317 cited
  • 1994Instability of FIFO Queueing Networks263 cited
  • 1975Networks of queues with customers of different types231 cited
  • 1996Stability and Instability of Fluid Models for Reentrant Lines226 cited
  • 1995Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines214 cited
  • 1993Brownian models of multiclass queueing networks: Current status and open problems177 cited
  • 1994Stability of Generalized Jackson Networks170 cited
  • 1993Nonexistence of Brownian models for certain multiclass queueing networks119 cited
  • 1996Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons104 cited
  • 1994Instability of FIFO Queueing Networks with Quick Service Times76 cited
  • 1994Hierarchical Modeling of Stochastic Networks, Part I: Fluid Models71 cited
  • 2002Piecewise linear test functions for stability of queueing networks45 cited

Cited by

  • 2002Stochastic networks and activity analysis72 cited

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1999
Dynamic scheduling in multiclass queueing networks: Stability under discrete-review policies
42 cited
  • 1995Balanced Fluid Models of Multiclass Queueing Networks: A Heavy Traffic Conjecture39 cited
  • 1999A stability criterion via fluid limits and its application to a polling system34 cited
  • 1996Global Stability of Two-Station Queueing Networks29 cited
  • 2014Concave switching in single and multihop networks21 cited
  • 2000Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines21 cited
  • 2013Measurement and optimization of robust stability of multiclass queueing networks: Applications in dynamic supply chains20 cited
  • 1996Dobrushin′s approach to queueing network theory19 cited
  • 2000Single Class Queueing Networks with Discrete and Fluid Customers on the Time Interval R17 cited