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A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines
16 references·3 citing·34 second hop
A sufficient condition and a necessary condition for the diffusion approximations of multiclass queueing networks under priority service disciplines (2000)A sufficient condition and a necessary co…Stability of Multiclass Queueing Networks Under Priority Service Disciplines (2000)Stability of Multiclass Queue…State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)State space collapse with app…Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Diffusion approximations for …An invariance principle for semimartingale reflecting Brownian motions in an orthant (1998)An invariance principle for s…Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines (1995)Fluid Approximations and Stab…Nonexistence of Brownian models for certain multiclass queueing networks (1993)Nonexistence of Brownian mode…Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant (1993)Existence and uniqueness of s…Brownian models of multiclass queueing networks: Current status and open problems (1993)Brownian models of multiclass…Regulations dÉterminates et stochastiques dans le premier “orthant” de R N (1991)Regulations dÉterminates et s…A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types (1991)A Heavy Traffic Limit Theorem…The QNET method for two-moment analysis of open queueing networks (1990)The QNET method for two-momen…Chapter 4 Diffusion approximations (1990)Chapter 4 Diffusion approxima…Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Brownian Models of Queueing N…Reflected Brownian Motion on an Orthant (1981)Reflected Brownian Motion on …State of the Art—Networks of Queues: A Survey of Weak Convergence Results (1978)State of the Art—Networks of …Heavy Traffic Limit Theorems for Queues: A Survey (1974)Heavy Traffic Limit Theorems …Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits (2016)Diffusion Limit of Fair Resou…Fractional Brownian Heavy Traffic Approximations of Multiclass Feedforward Queueing Networks (2005)Fractional Brownian Heavy Tra…Existence Condition for the Diffusion Approximations of Multiclass Priority Queueing Networks (2001)Existence Condition for the D…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)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Towards better multi-class parametric-decomposition approximations for open queueing networks (1994)Existence and Uniqueness of Semimartingale Reflecting Brownian Motions in Convex Polyhedrons (1996)Service system structure (2000)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Continuous Martingales and Brownian Motion (1991)Continuous Martingales and Brownian Motion (1999)Analysis, Design, and Control of Queueing Systems (2002)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)A fluid limit model criterion for instability of multiclass queueing networks (1996)Jobshop-Like Queueing Systems (2004)Stability of Queueing Networks (2008)Stability of queueing networks (2008)The single server queue in heavy traffic (1961)The stability of a queue with non-independent inter-arrival and service times (1962)Approximations for the M/G/m Queue (1978)The Single Server Queue (1983)Approximations for the probability of ruin within finite time (1984)Open Queueing Networks in Heavy Traffic (1984)Stability of Multiclass Queueing Networks Under FIFO Service Discipline (1997)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design (2004)Maximum Pressure Policies in Stochastic Processing Networks (2005)Multiple channel queues in heavy traffic. I (1970)Asymptotically tight steady-state queue length bounds implied by drift conditions (2012)Brownian models of open queueing networks with homogeneous customer populations ∗ (1987)On lipschitz continuity of the solution mapping to the skorokhod problem, with applications (1991)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)
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References

  • 1981Reflected Brownian Motion on an Orthant390 cited
  • 1988Brownian Models of Queueing Networks with Heterogeneous Customer Populations356 cited
  • 1998State space collapse with application to heavy traffic limits for multiclass queueing networks309 cited
  • 1998Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse264 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
  • 1993Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant130 cited
  • 1974Heavy Traffic Limit Theorems for Queues: A Survey130 cited
  • 1993Nonexistence of Brownian models for certain multiclass queueing networks119 cited
  • 1990The QNET method for two-moment analysis of open queueing networks109 cited
  • 2000Stability of Multiclass Queueing Networks Under Priority Service Disciplines105 cited
  • 1991A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types103 cited
  • 1998An invariance principle for semimartingale reflecting Brownian motions in an orthant84 cited
  • 1990Chapter 4 Diffusion approximations78 cited

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  • 1991Regulations dÉterminates et stochastiques dans le premier “orthant” de R N72 cited
  • 1978State of the Art—Networks of Queues: A Survey of Weak Convergence Results67 cited
  • Cited by

    • 2005Fractional Brownian Heavy Traffic Approximations of Multiclass Feedforward Queueing Networks21 cited
    • 2016Diffusion Limit of Fair Resource Control—Stationarity and Interchange of Limits20 cited
    • 2001Existence Condition for the Diffusion Approximations of Multiclass Priority Queueing Networks17 cited