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Simple Bounds and Monotnicity the Call Congestion of Finite Multiserver Delay Systems
9 references·2 citing·42 second hop
Simple Bounds and Monotnicity the Call Congestion of Finite Multiserver Delay Systems (1988)Simple Bounds and Monotnicity the Call Co…Asymptotic Methods in Queueing Theory. (1986)Asymptotic Methods in Queuein…Tables for multi-server queues (1985)Tables for multi-server queuesAsymptotic methods in queueing theory (1985)Asymptotic methods in queuein…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…Refining diffusion approximations for queues (1982)Refining diffusion approximat…Approximations for the steady-state probabilities in theM/G/cqueue (1981)Approximations for the steady…Note—Simple Inequalities for Multiserver Queues (1980)Note—Simple Inequalities for …A Diffusion Approximation to the Multi-Server Queue (1978)A Diffusion Approximation to …A NUMERICAL METHOD FOR THE STEADY-STATE PROBABILITIES OF A G1/G/C QUEUING SYSTEM IN A GENERAL CLASS (1976)A NUMERICAL METHOD FOR THE ST…Error Bounds and Comparison Results: The Markov Reward Approach For Queueing Networks (2010)Error Bounds and Comparison R…Monotonicity and error bounds for networks of Erlang loss queues (2009)Monotonicity and error bounds…Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)On Approximations for Queues, II: Shape Constraints (1984)Applications of Queueing Theory (1985)Asymptotic Analysis of a State-Dependent $M/G/1$ Queueing System (1986)The Brownian approximation for rate-control throttles and the G/G/1/C queue (1992)Analysis and Synthesis of Computer Systems (2010)On the theory of queues with many servers (1955)Multiple channel queues in heavy traffic. I (1970)Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions (1974)A Diffusion Approximation for Bulk Queues (1981)Diffusion Approximation as a Modelling Tool (2011)IT innovation strategy: managing the implementation communication and its generated knowledge through the use of an ICT tool (2016)Introduction to the Theory of Queues. (1963)Approximations for the M/G/m Queue (1978)Approximations in finite-capacity multi-server queues by Poisson arrivals (1978)M/G/c Queueing Systems with Multiple Customer Classes: Characterization and Control of Achievable Performance Under Nonpreemptive Priority Rules (1988)Approximations for multi-server queues: System interpolations (1994)On the inapproximability of M/G/K: why two moments of job size distribution are not enough (2009)A Proof for the Queuing Formula: L = λ W (1961)Inequalities in the Theory of Queues (1970)Stochastic Processes in Queueing Theory (1976)Maximum entropy two-station cyclic queues with multiple general servers (1988)Simulation run lengths to estimate blocking probabilities (1996)Sharp and simple bounds for the Erlang delay and loss formulae (2009)The Randomization Technique as a Modeling Tool and Solution Procedure for Transient Markov Processes (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)An Efficient Decomposition Method for the Approximate Evaluation of Tandem Queues with Finite Storage Space and Blocking (1987)An algorithm for Ph/Ph/c queues (1986)Multiserver Queues with Impatient Customers (1994)A Multiserver Queueing System with Impatient Customers (1999)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Inventory Control in a Fluctuating Demand Environment (1993)To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)A Diffusion Approximation for the G/GI/n/m Queue (2004)Heavy-Traffic Limits for the G/H2*/n/mQueue (2005)Processor sharing: A survey of the mathematical theory (2007)Processor-sharing queues: Some progress in analysis (1987)Properties of the Reflected Ornstein–Uhlenbeck Process (2003)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)AN APPROXIMATION FORMULA FOR THE MEAN WAITING TIME OF AN M/G/c QUEUE (1977)A numerical solution for the multi-server queue with hyper-exponential service times (1983)Approximation of the Mean Queue Length of an M/G/c Queueing System (1995)
this work references cited by second hop

References

  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1986Asymptotic Methods in Queueing Theory.225 cited
  • 1985Asymptotic methods in queueing theory146 cited
  • 1981Approximations for the steady-state probabilities in theM/G/cqueue99 cited
  • 1985Tables for multi-server queues85 cited
  • 1976A NUMERICAL METHOD FOR THE STEADY-STATE PROBABILITIES OF A G1/G/C QUEUING SYSTEM IN A GENERAL CLASS65 cited
  • 1982Refining diffusion approximations for queues51 cited
  • 1978A Diffusion Approximation to the Multi-Server Queue49 cited
  • 1980Note—Simple Inequalities for Multiserver Queues29 cited

Cited by

  • 2010Error Bounds and Comparison Results: The Markov Reward Approach For Queueing Networks18 cited
  • 2009Monotonicity and error bounds for networks of Erlang loss queues13 cited

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