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Light traffic approximations in many-server queues
5 references·5 citing·39 second hop
Light traffic approximations in many-server queues (1992)Light traffic approximations in many-serv…An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue (1989)An Interpolation Approximatio…A Light-Traffic Theorem for Multi-Server Queues (1983)A Light-Traffic Theorem for M…Approximations of the Mean Waiting Time in an M/G/s Queueing System (1979)Approximations of the Mean Wa…On the Characteristics of the General Queueing Process, with Applications to Random Walk (1956)On the Characteristics of the…On the theory of queues with many servers (1955)On the theory of queues with …Three Cases of Light-Traffic Insensitivity of the Loss Probability in a GI/G/m/0 Loss System to the Shape of the Service Time Distribution (2003)Three Cases of Light-Traffic …Access control of parallel multiserver loss queues (2002)Access control of parallel mu…Ergodic and light traffic properties of a complex repairable system (1997)Ergodic and light traffic pro…Light-traffic approximations for Markov-modulated multi-server queues (1995)Light-traffic approximations …Light traffic approximations in general stationary single-server queues (1994)Light traffic approximations …Applied Probability and Queues (1987)Introduction to Queuing Theory (1989)Introduction to queueing theory (1990)Two new heuristics for the GI/G/n/0 queueing loss system with examples based on the two-phase Coxian distribution (2008)Matrix-Geometric Solutions to Stochastic Models (1984)Applied Probability and Queues (2003)The Single Server Queue (1983)The Single Server Queue. (1983)The stability of a queue with non-independent inter-arrival and service times (1962)Stochastic Processes in Queueing Theory (1976)Queues and Point Processes (1983)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)Optimality of the shortest line discipline (1977)Optimal control of admission to a quenching system (1985)Predicting performance measures for Markovian type of manufacturing systems with product failures (2007)Capacity rationing in rental systems with two customer classes and batch arrivals (2010)An Overview for Markov Decision Processes in Queues and Networks (2019)Inequalities in the Theory of Queues (1970)Queueing Systems, Vol. II: Computer Applications. (1977)The multiple phase service network with generalized processor sharing (1979)Approximations for the steady-state probabilities in theM/G/cqueue (1981)Open Queueing Systems in Light Traffic (1989)APPROXIMATIONS FOR THE GI/G/m QUEUE (1993)Introduction to Congestion Theory in Telephone Systems. (1962)Heavy Traffic Limit Theorems for Queues: A Survey (1974)Approximations in finite-capacity multi-server queues by Poisson arrivals (1978)Approximation of the queue-length distribution of an M/GI/s queue by the basic equations (1986)Systems with multiple servers under heavy-tailed workloads (2005)Some Problems in the Theory of Queues (1951)The theory of queues with a single server (1952)Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)Steady-state simulation of queueing processes: survey of problems and solutions (1990)The Queueing Network Analyzer (1983)Comparison Methods for Queues and Other Stochastic Models. (1986)Diffusion approximations for queues with server vacations (1990)Queueing Simulation in Heavy Traffic (1992)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)
this work references cited by second hop

References

  • 1955On the theory of queues with many servers313 cited
  • 1956On the Characteristics of the General Queueing Process, with Applications to Random Walk195 cited
  • 1979Approximations of the Mean Waiting Time in an M/G/s Queueing System113 cited
  • 1989An Interpolation Approximation for the Mean Workload in a GI/G/1 Queue58 cited
  • 1983A Light-Traffic Theorem for Multi-Server Queues55 cited

Cited by

  • 2002Access control of parallel multiserver loss queues20 cited
  • 2003Three Cases of Light-Traffic Insensitivity of the Loss Probability in a GI/G/m/0 Loss System to the Shape of the Service Time Distribution18 cited
  • 1997Ergodic and light traffic properties of a complex repairable system12 cited
  • 1995Light-traffic approximations for Markov-modulated multi-server queues12 cited
  • 1994Light traffic approximations in general stationary single-server queues11 cited

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