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Insensitivity of blocking probabilities in a circuit-switching network
1 references·16 citing·31 second hop
Insensitivity of blocking probabilities in a circuit-switching network (1984)Insensitivity of blocking probabilities i…The Life and Works of A. K. Erlang. (1951)The Life and Works of A. K. E…Revenue Management of Reusable Resources with Advanced Reservations (2016)Revenue Management of Reusabl…Provably Near-Optimal LP-Based Policies for Revenue Management in Systems with Reusable Resources (2009)Provably Near-Optimal LP-Base…A Note on Insensitivity in Stochastic Networks (2007)A Note on Insensitivity in St…The Erlang model with non-poisson call arrivals (2006)The Erlang model with non-poi…Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks (1995)Asymptotic analysis of single…An inversion algorithm to compute blocking probabilities in loss networks with state-dependent rates (1995)An inversion algorithm to com…An algorithm to compute blocking probabilities in multi-rate multi-class multi-resource loss models (1995)An algorithm to compute block…Control of multiple service, multiple resource communication networks (1994)Control of multiple service, …Blocking probabilities in multitraffic loss systems: insensitivity, asymptotic behavior, and approximations (1992)Blocking probabilities in mul…Product forms for queueing networks with state-dependent multiple job transitions (1991)Product forms for queueing ne…Teletraffic engineering for product-form circuit-switched networks (1990)Teletraffic engineering for p…Optimal Control and Trunk Reservation in Loss Networks (1990)Optimal Control and Trunk Res…On critically loaded loss networks (1989)On critically loaded loss net…Limit theorems for loss networks with diverse routing (1989)Limit theorems for loss netwo…Fixed point models of loss networks (1989)Fixed point models of loss ne…Stochastic Comparisons for Non-Markov Processes (1986)Stochastic Comparisons for No…Blocking in a Shared Resource Environment (1981)Blocking probabilities in large circuit-switched networks (1986)Loss Networks (1991)Optimization via trunk reservation in single resource loss systems under heavy traffic (1997)Diffusion Approximations for a Multiclass Markovian Service System with “Guaranteed” and “Best-Effort” Service Levels (2004)The multiserver job queueing model (2022)Blocking When Service Is Required From Several Facilities Simultaneously (1985)The Performance of Single Resource Loss Systems in Multiservice Networks (1994)Applying a New Device in the Optimization of Exponential Queuing Systems (1975)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)Networks of Waiting Lines (1957)Jobshop-Like Queueing Systems (1963)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)A Geometric Product-Form Distribution for a Queueing Network by Non-Standard Batch Arrivals and Batch Transfers (1997)Product Form Queueing Networks (2000)Balanced fair resource sharing in computer clusters (2017)Stochastic Modeling and the Theory of Queues (1989)Joint Stocking and Product Offer Decisions Under the Multinomial Logit Model (2013)Real-Time Dynamic Pricing for Revenue Management with Reusable Resources, Advance Reservation, and Deterministic Service Time Requirements (2020)Computational algorithms for closed queueing networks with exponential servers (1973)Calculating normalization constants of closed queueing networks by numerically inverting their generating functions (1995)On the distribution of queueing times (1953)Blocking with retrials in a completely shared resource environment (1992)Load effect on service times (2018)Efficiently Providing Multiple Grades of Service with Protection Against Overloads in Shared Resources (1995)Control and recovery from rare congestion events in a large multi-server system (1997)Modelling of state-dependent multirate systems carrying BPP traffic (2008)Refined Asymptotic Approximations to Loss Probabilities and Their Sensitivities in Shared Unbuffered Resources (1998)Properties of Recurrent Equations for the Full‐Availability Group with BPP Traffic (2011)
this work references cited by second hop

References

  • 1951The Life and Works of A. K. Erlang.120 cited

Cited by

  • 1990Optimal Control and Trunk Reservation in Loss Networks101 cited
  • 1991Product forms for queueing networks with state-dependent multiple job transitions98 cited
  • 1995An algorithm to compute blocking probabilities in multi-rate multi-class multi-resource loss models82 cited
  • 2009Provably Near-Optimal LP-Based Policies for Revenue Management in Systems with Reusable Resources76 cited
  • 1992Blocking probabilities in multitraffic loss systems: insensitivity, asymptotic behavior, and approximations71 cited
  • 1994Control of multiple service, multiple resource communication networks70 cited
  • 1989Fixed point models of loss networks66 cited
  • 1995Asymptotic analysis of single resource loss systems in heavy traffic, with applications to integrated networks61 cited
  • 1995An inversion algorithm to compute blocking probabilities in loss networks with state-dependent rates56 cited
  • 2016Revenue Management of Reusable Resources with Advanced Reservations55 cited
  • 1986Stochastic Comparisons for Non-Markov Processes52 cited
  • 1989On critically loaded loss networks52 cited
  • 2006The Erlang model with non-poisson call arrivals46 cited

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2007
A Note on Insensitivity in Stochastic Networks
44 cited
  • 1989Limit theorems for loss networks with diverse routing40 cited
  • 1990Teletraffic engineering for product-form circuit-switched networks39 cited