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Resource pooling in congested networks: proportional fairness and product form
8 references·9 citing·42 second hop
Resource pooling in congested networks: proportional fairness and product form (2009)Resource pooling in congested networks: p…Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization (2004)Fundamentals of Queueing Netw…Fundamentals of Queueing Networks (2001)Fundamentals of Queueing Netw…State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)State space collapse with app…Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling (1993)Dynamic routing in open queue…Applied Probability and Queues (1987)Applied Probability and QueuesThe multiple phase service network with generalized processor sharing (1979)The multiple phase service ne…Closed Exponential Networks of Queues with Saturation: The Jackson-Type Stationary Distribution and Its Asymptotic Analysis (1979)Closed Exponential Networks o…Time-shared Systems (1967)Time-shared SystemsInsensitivity of proportional fairness in critically loaded bandwidth sharing networks (2026)Insensitivity of proportional…Balanced fair resource sharing in computer clusters (2017)Balanced fair resource sharin…Accelerating Performance Inference over Closed Systems by Asymptotic Methods (2017)Accelerating Performance Infe…Proportional Switching in First-in, First-out Networks (2016)Proportional Switching in Fir…Equilibrium routing under uncertainty (2015)Equilibrium routing under unc…Optimal queue-size scaling in switched networks (2014)Optimal queue-size scaling in…Closed Queueing Networks Under Congestion: Nonbottleneck Independence and Bottleneck Convergence (2013)Closed Queueing Networks Unde…Optimal queue-size scaling in switched networks (2012)Optimal queue-size scaling in…Insensitive, maximum stable allocations converge to proportional fairness (2011)Insensitive, maximum stable a…Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Applied Probability and Queues (2003)MaxWeight scheduling in a generalized switch: State space collapse and workload minimization in heavy traffic (2004)Stochastic Processing Networks (2016)Collaboration and Multitasking in Networks: Prioritization and Achievable Capacity (2017)A Proof for the Queuing Formula: L = λ W (1961)Waiting Time Distributions for Processor-Sharing Systems (1970)Sharing a Processor Among Many Job Classes (1980)Introduction to Queueing Theory and Stochastic Teletraffic Models (2013)Closed Queuing Systems with Exponential Servers (1967)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Integral Representations and Asymptotic Expansions for Closed Markovian Queueing Networks: Normal Usage (1982)Product forms for queueing networks with state-dependent multiple job transitions (1991)On Decomposition Methods for Tandem Queueing Networks with Blocking (1993)Jobshop-Like Queueing Systems (2004)Introduction to Congestion Theory in Telephone Systems. (1962)Networks of queues (1976)Queueing Networks: A Survey of Their Random Processes (1985)Processor-sharing queues: Some progress in analysis (1987)Optimality of the shortest line discipline (1977)Brownian Motion and Stochastic Flow Systems. (1987)Introduction to Queueing Networks (1987)Dynamic control of Brownian networks: state space collapse and\n\t\t equivalent workload formulations (1997)Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers (2005)Switched networks with maximum weight policies: Fluid approximation and multiplicative state space collapse (2012)Loss Networks (1991)Introduction to Stochastic Networks (1999)A Token-Based Central Queue with Order-Independent Service Rates (2021)On the Stability of Redundancy Models (2021)Zero Queueing for Multi-Server Jobs (2021)Fundamentals of Queueing Theory. (1986)Validity of heavy traffic steady-state approximations in generalized Jackson networks (2006)The cμ/θ Rule for Many-Server Queues with Abandonment (2010)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design (2004)Maximum Pressure Policies in Stochastic Processing Networks (2005)A survey of retrial queueing systems (2015)Pricing in Ride-Share Platforms: A Queueing-Theoretic Approach (2015)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)
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References

  • 1987Applied Probability and Queues2,704 cited
  • 2001Fundamentals of Queueing Networks530 cited
  • 1967Time-shared Systems366 cited
  • 1998State space collapse with application to heavy traffic limits for multiclass queueing networks309 cited
  • 2004Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization291 cited
  • 1979The multiple phase service network with generalized processor sharing229 cited
  • 1993Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling170 cited
  • 1979Closed Exponential Networks of Queues with Saturation: The Jackson-Type Stationary Distribution and Its Asymptotic Analysis132 cited

Cited by

  • 2017Balanced fair resource sharing in computer clusters44 cited
  • 2014Optimal queue-size scaling in switched networks34 cited
  • 2016Proportional Switching in First-in, First-out Networks31 cited
  • 2026Insensitivity of proportional fairness in critically loaded bandwidth sharing networks25 cited
  • 2013Closed Queueing Networks Under Congestion: Nonbottleneck Independence and Bottleneck Convergence19 cited
  • 2012Optimal queue-size scaling in switched networks17 cited
  • 2015Equilibrium routing under uncertainty

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14 cited
  • 2011Insensitive, maximum stable allocations converge to proportional fairness14 cited
  • 2017Accelerating Performance Inference over Closed Systems by Asymptotic Methods14 cited