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A mean-field limit for a class of queueing networks
9 references·2 citing·34 second hop
A mean-field limit for a class of queueing networks (1992)A mean-field limit for a class of queuein…On a Class of Stochastic Recursive Sequences Arising in Queueing Theory (1992)On a Class of Stochastic Recu…Queueing models for systems with synchronization constraints (1989)Queueing models for systems w…Acyclic fork-join queuing networks (1989)Acyclic fork-join queuing net…The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence (1985)The queue GI/G/1: Finite mome…Queues and Point Processes. (1985)Queues and Point Processes.Asymptotic methods in queuing theory (1984)Asymptotic methods in queuing…Queues and Point Processes (1983)Queues and Point ProcessesStochastic Processes in Queueing Theory (1976)Stochastic Processes in Queue…Communication Nets: Stochastic Message Flow and Delay (1966)Communication Nets: Stochasti…Dobrushin′s approach to queueing network theory (1996)Dobrushin′s approach to queue…Higher-order Lindley equations (1994)Higher-order Lindley equationsThe stability of a queue with non-independent inter-arrival and service times (1962)The Single Server Queue (1983)Comparison Methods for Queues and Other Stochastic Models. (1986)Assembly/Disassembly Systems: An Efficient Decomposition Algorithm for Tree-Structured Networks (1991)Some Guidelines and Guarantees for Common Random Numbers (1992)The Stability of a Capacitated, Multi-Echelon Production-Inventory System Under a Base-Stock Policy (1994)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Quantitative system performance: computer system analysis using queueing network models (1984)Equivalence, reversibility, symmetry and concavity properties in fork-join queuing networks with blocking (1994)Interpolation approximations for symmetric Fork-Join queues (1994)Analysis of Fork/Join and Related Queueing Systems (2014)The theory of queues with a single server (1952)Point Processes and Queues: Martingale Dynamics. (1983)Criteria for rates of convergence of Markov chains, with application to queueing and storage theory (1983)The queue GI/GI/k: finite moments of the cycle variables and uniform rates of convergence (1985)Analyticity of single-server queues in light traffic (1995)The Departure Process of the GI/G/1 Queue and Its MacLaurin Series (1996)Limit Theorems for Queueing Networks. I (1987)A new view of the heavy-traffic limit theorem for infinite-server queues (1991)Mathematical problems in the theory of shared-processor systems (1992)Approximate Analysis of General Queuing Networks by Decomposition (1979)Workloads and waiting times in single-server systems with multiple customer classes (1989)Queueing theory in manufacturing: A survey (1999)Admission control in stochastic event graphs (2000)Large Deviations-Based Asymptotics for Inventory Control in Supply Chains (2003)Inventory Control for Supply Chains with Service Level Constraints: A Synergy between Large Deviations and Perturbation Analysis (2004)Marked point processes as limits of Markovian arrival streams (1993)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)OR FORUM—Little's Law as Viewed on Its 50th Anniversary (2011)Processor-sharing queues: Some progress in analysis (1987)Asymptotic Behavior of an Allocation Policy for Revenue Management (2002)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Martingale Methods in Financial Modelling (1997)Fluctuations of Lévy Processes with Applications (2014)
this work references cited by second hop

References

  • 1976Stochastic Processes in Queueing Theory674 cited
  • 1966Communication Nets: Stochastic Message Flow and Delay616 cited
  • 1985Queues and Point Processes.342 cited
  • 1983Queues and Point Processes258 cited
  • 1989Acyclic fork-join queuing networks150 cited
  • 1989Queueing models for systems with synchronization constraints134 cited
  • 1984Asymptotic methods in queuing theory110 cited
  • 1985The queue GI/G/1: Finite moments of the cycle variables and uniform rates of convergence53 cited
  • 1992On a Class of Stochastic Recursive Sequences Arising in Queueing Theory44 cited

Cited by

  • 1994Higher-order Lindley equations29 cited
  • 1996Dobrushin′s approach to queueing network theory19 cited

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