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Some Limit Theorems in the Theory of Mass Service, II Multiple Channels Systems
1 references·16 citing·43 second hop
Some Limit Theorems in the Theory of Mass Service, II Multiple Channels Systems (1965)Some Limit Theorems in the Theory of Mass…Some Limit Theorems in the Theory of Mass Service (1964)Some Limit Theorems in the Th…Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)Stein’s method for steady-sta…Stochastic Processing Networks (2016)Stochastic Processing NetworksStein’s Method for Steady-state Diffusion Approximations: An Introduction through the Erlang-A and Erlang-C Models (2016)Stein’s Method for Steady-sta…Multichannel Queueing Systems with Regenerative Input Flow (2014)Multichannel Queueing Systems…Steady-state $GI/G/n$ queue in the Halfin–Whitt regime (2013)Steady-state $GI/G/n$ queue i…Coupling method for asymptotic analysis of queues with regenerative input and unreliable server (2013)Coupling method for asymptoti…Heavy Traffic Limits for Some Queueing Networks (2001)Heavy Traffic Limits for Some…An overview of Brownian and non-Brownian FCLTs for the single-server queue (2000)An overview of Brownian and n…The tightness in the ergodic analysis of regenerative queueing processes (1997)The tightness in the ergodic …State-Dependent Queues: Approximations and Applications (1995)State-Dependent Queues: Appro…The Brownian approximation for rate-control throttles and the G/G/1/C queue (1992)The Brownian approximation fo…Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)Measurements and approximatio…State of the Art—Networks of Queues: A Survey of Weak Convergence Results (1978)State of the Art—Networks of …A limit theorem for priority queues in heavy traffic (1973)A limit theorem for priority …Rates of convergence for queues in heavy traffic. I (1972)Rates of convergence for queu…Complements to heavy traffic limit theorems for the GI/G/1 queue (1972)Complements to heavy traffic …Point Processes and Queues (1981)Brownian Motion and Stochastic Calculus (1988)How Multiserver Queues Scale with Growing Congestion-Dependent Demand (2003)Brownian Motion and Stochastic Calculus (2007)Optimal buffer size and dynamic rate control for a queueing system with impatient customers in heavy traffic (2010)Does the Past Predict the Future? The Case of Delay Announcements in Service Systems (2016)Networks of Waiting Lines (1957)The single server queue in heavy traffic (1961)Optimal and Approximately Optimal Control Policies for Queues in Heavy Traffic (1989)Hierarchical Modeling of Stochastic Networks, Part II: Strong Approximations (1994)Stochastic Differential Equations (2006)Poisson Arrivals See Time Averages (1982)The Queueing Network Analyzer (1983)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)The MacLaurin series for the GI/G/1 queue (1992)Variability Functions for Parametric-Decomposition Approximations of Queueing Networks (1995)Partitioning Customers into Service Groups (1999)The stability of a queue with non-independent inter-arrival and service times (1962)Stochastic Processes in Queueing Theory (1976)Applied Probability and Queues (1987)Stability Analysis of a Multi-server Model with Simultaneous Service and a Regenerative Input Flow (2019)On Queues in Heavy Traffic (1962)Corrected diffusion approximations in certain random walk problems (1979)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Open Queueing Networks in Heavy Traffic (1984)Stability of Earliest-Due-Date, First-Served Queueing Networks (2001)Stability of Queueing Networks (2008)State Space Collapse in Many-Server Diffusion Limits of Parallel Server Systems (2011)Multiple channel queues in heavy traffic. I (1970)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Validity of heavy-traffic steady-state approximations in many-server queues with abandonment (2014)Many-server Gaussian limits for overloaded non-Markovian queues with customer abandonment (2018)Join-the-shortest queue diffusion limit in Halfin–Whitt regime: Tail asymptotics and scaling of extrema (2019)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Economies-of-Scale in Many-Server Queueing Systems: Tutorial and Partial Review of the QED Halfin--Whitt Heavy-Traffic Regime (2019)Steady-state analysis of load-balancing algorithms in the sub-Halfin–Whitt regime (2020)Steady-State Analysis of the Join-the-Shortest-Queue Model in the Halfin–Whitt Regime (2020)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)Weak Regeneration in Modeling of Queueing Processes (2004)A multiserver retrial queue: regenerative stability analysis (2007)Stability analysis of regenerative queueing systems (2009)
this work references cited by second hop

References

  • 1964Some Limit Theorems in the Theory of Mass Service96 cited

Cited by

  • 1989Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue79 cited
  • 2017Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems72 cited
  • 2016Stein’s Method for Steady-state Diffusion Approximations: An Introduction through the Erlang-A and Erlang-C Models71 cited
  • 2001Heavy Traffic Limits for Some Queueing Networks71 cited
  • 1978State of the Art—Networks of Queues: A Survey of Weak Convergence Results67 cited
  • 1995State-Dependent Queues: Approximations and Applications56 cited
  • 2013Steady-state $GI/G/n$ queue in the Halfin–Whitt regime44 cited
  • 1997The tightness in the ergodic analysis of regenerative queueing processes42 cited
  • 2013Coupling method for asymptotic analysis of queues with regenerative input and unreliable server39 cited
  • 1992The Brownian approximation for rate-control throttles and the G/G/1/C queue38 cited
  • 2016Stochastic Processing Networks25 cited
  • 2000An overview of Brownian and non-Brownian FCLTs for the single-server queue21 cited
  • 1973A limit theorem for priority queues in heavy traffic20 cited

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

  • 1972Rates of convergence for queues in heavy traffic. I18 cited
  • 2014Multichannel Queueing Systems with Regenerative Input Flow17 cited
  • 1972Complements to heavy traffic limit theorems for the GI/G/1 queue17 cited