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Light traffic approximations in general stationary single-server queues
13 references·0 citing·37 second hop
Light traffic approximations in general stationary single-server queues (1994)Light traffic approximations in general s…Virtual customers in sensitivity and light traffic analysis via Campbell's formula for point processes (1993)Virtual customers in sensitiv…Light traffic approximations in many-server queues (1992)Light traffic approximations …Finiteness of Waiting-Time Moments in General Stationary Single-Server Queues (1992)Finiteness of Waiting-Time Mo…Light Traffic Approximations in Queues (1991)Light Traffic Approximations …An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue (1989)An Interpolation Approximatio…Palm Probabilities and Stationary Queues (1987)Palm Probabilities and Statio…An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals (1986)An Asymptotic Analysis of a Q…A Light Traffic Approximation for a Single-Server Queue (1984)A Light Traffic Approximation…Queues and Point Processes (1983)Queues and Point ProcessesA formal approach to queueing processes in the steady state and their applications (1979)A formal approach to queueing…Stochastic Processes in Queueing Theory (1976)Stochastic Processes in Queue…The stability of a queue with non-independent inter-arrival and service times (1962)The stability of a queue with…On the Characteristics of the General Queueing Process, with Applications to Random Walk (1956)On the Characteristics of the…Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)Approximating a Point Process by a Renewal Process, II: Superposition Arrival Processes to Queues (1984)A multiclass feedback queue in heavy traffic (1988)The semi-markovian queue: theory and applications (1990)Computational methods in risk theory: A matrix-algorithmic approach (1992)An introduction to queueing theory (1993)The theory of queues with a single server (1952)On the theory of queues with many servers (1955)Weak convergence in queueing theory (1973)Simulating Stable Stochastic Systems, I: General Multiserver Queues (1974)Large deviations theory and efficient simulation of excessive backlogs in a GI/GI/m queue (1991)The Queueing Network Analyzer (1983)Comparison Methods for Queues and Other Stochastic Models. (1986)Applied Probability and Queues (1987)Diffusion approximations for queues with server vacations (1990)Queueing Simulation in Heavy Traffic (1992)APPROXIMATIONS FOR THE GI/G/m QUEUE (1993)Perturbation analysis and optimization of queueing networks (1983)Perturbation analysis: the state of the art and research issues explained via the GI/G/1 queue (1989)Maximal coupling and rare perturbation sensitivity analysis (1992)Expansions for Joint Laplace Transform of Stationary Waiting Times in (max,+)-linear Systems with Poisson Input (2001)Acyclic fork-join queuing networks (1989)Queueing models for systems with synchronization constraints (1989)Effective bandwidths of departure processes from queues with time varying capacities (2002)Light-Traffic Analysis for Queues with Spatially Distributed Arrivals (1996)Monotonicity results for MR/GI/1 queues (1997)Asymptotic results on infinite tandem queueing networks (2000)On Queues in Heavy Traffic (1962)On the stability of interacting queues in a multiple-access system (1988)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)The intensity conservation law for queues with randomly changed service rate (1985)Approximation of the queue-length distribution of an M/GI/s queue by the basic equations (1986)One-Dependent Regenerative Processes and Queues in Continuous Time (1990)Processor-sharing queues: Some progress in analysis (1987)OR FORUM—Little's Law as Viewed on Its 50th Anniversary (2011)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)Martingale Methods in Financial Modelling (1997)
this work references cited by second hop

References

  • 1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
  • 1976Stochastic Processes in Queueing Theory674 cited
  • 1983Queues and Point Processes258 cited
  • 1956On the Characteristics of the General Queueing Process, with Applications to Random Walk195 cited
  • 1987Palm Probabilities and Stationary Queues181 cited
  • 1986An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals70 cited
  • 1979A formal approach to queueing processes in the steady state and their applications69 cited
  • 1989An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue58 cited
  • 1993Virtual customers in sensitivity and light traffic analysis via Campbell's formula for point processes32 cited
  • 1992Finiteness of Waiting-Time Moments in General Stationary Single-Server Queues31 cited
  • 1992Light traffic approximations in many-server queues24 cited
  • 1991Light Traffic Approximations in Queues22 cited
  • 1984A Light Traffic Approximation for a Single-Server Queue17 cited

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