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Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks
7 references·9 citing·28 second hop
Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks (1995)Asymptotic analysis of single resource lo…Loss Networks (1991)Loss NetworksEffective bandwidths at multi-class queues (1991)Effective bandwidths at multi…Optimal Control and Trunk Reservation in Loss Networks (1990)Optimal Control and Trunk Res…Fixed point models of loss networks (1989)Fixed point models of loss ne…Blocking probabilities in large circuit-switched networks (1986)Blocking probabilities in lar…Insensitivity of blocking probabilities in a circuit-switching network (1984)Insensitivity of blocking pro…Blocking in a Shared Resource Environment (1981)Blocking in a Shared Resource…The multiserver job queueing model (2022)The multiserver job queueing …Analysis of loss networks with routing (2006)Analysis of loss networks wit…Diffusion Approximations for a Multiclass Markovian Service System with “Guaranteed” and “Best-Effort” Service Levels (2004)Diffusion Approximations for …Exponential Penalty Function Control of Loss Networks (2003)Exponential Penalty Function …A Refinement of the Hunt-Kurtz Theory of Large Loss Networks, with an Application to Virtual Partitioning (2002)A Refinement of the Hunt-Kurt…A critically loaded multirate link with trunk reservation (1998)A critically loaded multirate…Optimization via trunk reservation in single resource loss systems under heavy traffic (1997)Optimization via trunk reserv…Dynamic and equilibrium behavior of controlled loss networks (1997)Dynamic and equilibrium behav…The Performance of Single Resource Loss Systems in Multiservice Networks (1994)The Performance of Single Res…Blocking When Service Is Required From Several Facilities Simultaneously (1985)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)Zero Queueing for Multi-Server Jobs (2021)Computational algorithms for closed queueing networks with exponential servers (1973)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)On the Steady-State Distribution in a Service Facility Carrying Mixtures of Traffic with Different Peakedness Factors and Capacity Requirements (1983)Introduction to Queueing Theory and Stochastic Teletraffic Models (2013)The Life and Works of A. K. Erlang. (1951)Product forms for queueing networks with state-dependent multiple job transitions (1991)An algorithm to compute blocking probabilities in multi-rate multi-class multi-resource loss models (1995)Optimal control of admission to a quenching system (1985)An introduction to large deviations for communication networks (1995)Applications of Markov Decision Processes in Communication Networks (2002)Provably Near-Optimal LP-Based Policies for Revenue Management in Systems with Reusable Resources (2009)MULTI-DIMENSIONAL DIFFUSION PROCESSES (1980)Brownian Motion and Stochastic Calculus. (1989)Brownian Motion and Stochastic Calculus (2007)Transient behavior of the Halfin–Whitt diffusion (2011)Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach (1984)On the saturation rule for the stability of queues (1995)Optimal Scheduling in the Multiserver-job Model under Heavy Traffic (2022)The saturated Multiserver Job Queuing Model with two classes of jobs: Exact and approximate results (2023)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Fast simulation of rare events in queueing and reliability models (1995)Large deviations, the shape of the loss curve, and economies of scale in large multiplexers (1995)Stochastic Models of Computer Communication Systems (1985)Networks of infinite-server queues with nonstationary Poisson input (1993)Improving Service by Informing Customers About Anticipated Delays (1999)
this work references cited by second hop

References

  • 1981Blocking in a Shared Resource Environment998 cited
  • 1991Loss Networks601 cited
  • 1986Blocking probabilities in large circuit-switched networks577 cited
  • 1991Effective bandwidths at multi-class queues457 cited
  • 1984Insensitivity of blocking probabilities in a circuit-switching network163 cited
  • 1990Optimal Control and Trunk Reservation in Loss Networks101 cited
  • 1989Fixed point models of loss networks66 cited

Cited by

  • 1997Optimization via trunk reservation in single resource loss systems under heavy traffic40 cited
  • 2022The multiserver job queueing model33 cited
  • 2004Diffusion Approximations for a Multiclass Markovian Service System with “Guaranteed” and “Best-Effort” Service Levels25 cited
  • 1998A critically loaded multirate link with trunk reservation23 cited
  • 2002A Refinement of the Hunt-Kurtz Theory of Large Loss Networks, with an Application to Virtual Partitioning19 cited
  • 2006Analysis of loss networks with routing18 cited
  • 1994The Performance of Single Resource Loss Systems in Multiservice Networks18 cited
  • 2003Exponential Penalty Function Control of Loss Networks16 cited

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  • 1997Dynamic and equilibrium behavior of controlled loss networks15 cited