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Refining diffusion approximations for queues
9 references·15 citing·42 second hop
Refining diffusion approximations for queues (1982)Refining diffusion approximations for que…Analysis and Synthesis of Computer Systems (2010)Analysis and Synthesis of Com…Applications of Queueing Theory (1985)Applications of Queueing Theo…An Approximate Formula for Waiting Time in Single Server Queues (1976)An Approximate Formula for Wa…A Diffusion Model Approximation for the GI/G/1 Queue in Heavy Traffic (1975)A Diffusion Model Approximati…Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions (1974)Application of the Diffusion …On the relation between customer and time averages in queues (1971)On the relation between custo…Applications of Queueing Theory. (1971)Applications of Queueing Theo…Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Multiple channel queues in he…Some Inequalities in Queuing (1968)Some Inequalities in QueuingStabilizing performance in a single-server queue with time-varying arrival rate (2015)Stabilizing performance in a …A New Method for Deriving Waiting-Time Approximations in Polling Systems with Renewal Arrivals (2011)A New Method for Deriving Wai…LIMIT THEOREMS FOR POLLING MODELS WITH INCREASING SETUPS (2001)LIMIT THEOREMS FOR POLLING MO…Large finite population queueing systems. The single-server model (1994)Large finite population queue…The Brownian approximation for rate-control throttles and the G/G/1/C queue (1992)The Brownian approximation fo…Queueing models for performance analysis: Selection of single station models (1992)Queueing models for performan…A Moment-Iteration Method for Approximating the Waiting-Time Characteristics of the GI/G/1 Queue (1989)A Moment-Iteration Method for…Transient behavior of the M/M/1 queue via Laplace transforms (1988)Transient behavior of the M/M…Simple Bounds and Monotnicity the Call Congestion of Finite Multiserver Delay Systems (1988)Simple Bounds and Monotnicity…The heavy traffic limit of a class of Markovian queueing models (1987)The heavy traffic limit of a …On the Performance of State-Dependent Single Server Queues (1986)On the Performance of State-D…Diffusion Approximation for a Token Ring System with Nonexhausive Service (1986)Diffusion Approximation for a…Asymptotic Analysis of a State-Dependent $M/G/1$ Queueing System (1986)Asymptotic Analysis of a Stat…On Approximations for Queues, II: Shape Constraints (1984)On Approximations for Queues,…Approximations for the conditional waiting times in the GI/G/c queue (1984)Approximations for the condit…The single server queue in heavy traffic (1961)Multiple channel queues in heavy traffic. I (1970)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)The theory of queues with a single server (1952)A Proof for the Queuing Formula: L = λ W (1961)A Diffusion Approximation to the Multi-Server Queue (1978)Optimal control of an M/G/1 queuing system with removable server via diffusion approximation (1981)Interpolation approximations for queues in series (2012)Inequalities in the Theory of Queues (1970)Fundamentals of Queueing Theory. (1975)Fundamentals of Queueing Theory. (1977)Approximations for Product Departures from a Single-Server Station with Batch Processing in Multi-Product Queues (1989)Stochastic Processes in Queueing Theory (1976)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)The Queueing Network Analyzer (1983)The influence of service-time variability in a closed network of queues (1986)PERFORMANCE ANALYSIS OF AN ASSEMBLY STATION WITH INPUT FROM MULTIPLE FABRICATION LINES (2000)On Queues in Heavy Traffic (1962)Closed Queuing Systems with Exponential Servers (1967)On Approximate Computer System Models (1975)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Approximate Methods for Analyzing Queueing Network Models of Computing Systems (1978)An Approximate Analytical Method for General Queueing Networks (1979)Approximation Methods for Queues with Application to the Fixed-Cycle Traffic Light (1965)Queueing output processes (1976)The generalized expansion method for open finite queueing networks (1987)Chapter 5 Performance evaluation of production networks (1993)On the theory of queues with many servers (1955)The stability of a queue with non-independent inter-arrival and service times (1962)Regenerative processes in the theory of queues, with applications to the alternating-priority queue (1972)The Relation between Customer and Time Averages in Queues (1980)Queueing Systems with Service Interruptions (1986)Stochastic Models of Computer Communication Systems (1985)G-networks by triggered customer movement (1993)On the Efficiency-Fairness Trade-off (2012)Steady-state simulation of queueing processes: survey of problems and solutions (1990)The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals (1991)Coping with Time‐Varying Demand When Setting Staffing Requirements for a Service System (2007)Analytic modeling of interactive systems (1975)Time-Dependent Queues (1982)
this work references cited by second hop

References

  • 2010Analysis and Synthesis of Computer Systems467 cited
  • 1985Applications of Queueing Theory329 cited
  • 1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
  • 1974Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions258 cited
  • 1968Some Inequalities in Queuing191 cited
  • 1971On the relation between customer and time averages in queues128 cited
  • 1971Applications of Queueing Theory.69 cited
  • 1976An Approximate Formula for Waiting Time in Single Server Queues59 cited
  • 1975A Diffusion Model Approximation for the GI/G/1 Queue in Heavy Traffic56 cited

Cited by

  • 1984On Approximations for Queues, II: Shape Constraints46 cited
  • 1992The Brownian approximation for rate-control throttles and the G/G/1/C queue38 cited
  • 1986Asymptotic Analysis of a State-Dependent $M/G/1$ Queueing System35 cited
  • 1989A Moment-Iteration Method for Approximating the Waiting-Time Characteristics of the GI/G/1 Queue35 cited
  • 2015Stabilizing performance in a single-server queue with time-varying arrival rate26 cited
  • 1986Diffusion Approximation for a Token Ring System with Nonexhausive Service

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25 cited
  • 1986On the Performance of State-Dependent Single Server Queues23 cited
  • 1984Approximations for the conditional waiting times in the GI/G/c queue20 cited
  • 1988Simple Bounds and Monotnicity the Call Congestion of Finite Multiserver Delay Systems20 cited
  • 1988Transient behavior of the M/M/1 queue via Laplace transforms19 cited
  • 1987The heavy traffic limit of a class of Markovian queueing models16 cited
  • 1994Large finite population queueing systems. The single-server model14 cited
  • 2011A New Method for Deriving Waiting-Time Approximations in Polling Systems with Renewal Arrivals14 cited
  • 1992Queueing models for performance analysis: Selection of single station models13 cited
  • 2001LIMIT THEOREMS FOR POLLING MODELS WITH INCREASING SETUPS13 cited