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A Note on Insensitivity in Stochastic Networks
7 references·10 citing·37 second hop
A Note on Insensitivity in Stochastic Networks (2007)A Note on Insensitivity in Stochastic Net…Insensitivity in processor-sharing networks (2002)Insensitivity in processor-sh…Introduction to Stochastic Networks (1999)Introduction to Stochastic Ne…Markov Models & Optimization (1993)Markov Models & OptimizationBlocking probabilities in large circuit-switched networks (1986)Blocking probabilities in lar…Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)Piecewise-Deterministic Marko…Insensitivity of blocking probabilities in a circuit-switching network (1984)Insensitivity of blocking pro…Insensitivity in queueing systems (1980)Insensitivity in queueing sys…Stochastic Processing Networks (2016)Stochastic Processing NetworksRandomized assignment of jobs to servers in heterogeneous clusters of shared servers for low delay (2016)Randomized assignment of jobs…Randomized Assignment of Jobs to Servers in Heterogeneous Clusters of Shared Servers for Low Delay (2016)Randomized Assignment of Jobs…Proportional Switching in First-in, First-out Networks (2016)Proportional Switching in Fir…Choosing among heterogeneous server clouds (2016)Choosing among heterogeneous …Mean field and propagation of chaos in multi-class heterogeneous loss models (2015)Mean field and propagation of…Resource Sharing Networks: Overview and an Open Problem (2014)Resource Sharing Networks: Ov…Optimal queue-size scaling in switched networks (2014)Optimal queue-size scaling in…Asymptotic optimality of a greedy randomized algorithm in a large-scale service system with general packing constraints (2014)Asymptotic optimality of a gr…Optimal queue-size scaling in switched networks (2012)Optimal queue-size scaling in…Blocking in a Shared Resource Environment (1981)The power of two choices in randomized load balancing (2001)Asymptotic independence of queues under randomized load balancing (2012)Load balancing in large-scale systems with multiple dispatchers (2017)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)Collaboration and Multitasking in Networks: Prioritization and Achievable Capacity (2017)Introduction to Congestion Theory in Telephone Systems. (1962)Networks of queues (1976)Continuity of Generalized Semi-Markov Processes (1980)Asymptotic Formulas for Markov Processes with Applications to Simulation (1992)Monotonicity in Generalized Semi-Markov Processes (1992)A recursive simulation-optimization framework for the ambulance location and dispatching problem (2020)The Life and Works of A. K. Erlang. (1951)Optimal Control and Trunk Reservation in Loss Networks (1990)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)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Loss Networks (1991)Insensitive load balancing (2004)Sojourn time asymptotics in processor-sharing queues (2006)Randomized load balancing with general service time distributions (2010)Jobshop-Like Queueing Systems (1963)Processing Networks (2020)Point Processes and Queues: Martingale Dynamics. (1983)Optimal Control with State-Space Constraint. II (1986)State space collapse with application to heavy traffic limits for multiclass queueing networks (1998)Optimal Proportional Reinsurance Policies in a Dynamic Setting (2001)Common-Lines and Passenger Assignment in Congested Transit Networks (2001)Stability of Queueing Networks (2008)Stability of queueing networks (2008)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)Controlled diffusion models for optimal dividend pay-out (1997)Dynamic modeling and control of supply chain systems: A review (2007)Blocking When Service Is Required From Several Facilities Simultaneously (1985)Stochastic Models of Computer Communication Systems (1985)
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References

  • 1984Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models1,123 cited
  • 1993Markov Models & Optimization861 cited
  • 1986Blocking probabilities in large circuit-switched networks577 cited
  • 1999Introduction to Stochastic Networks430 cited
  • 1984Insensitivity of blocking probabilities in a circuit-switching network163 cited
  • 2002Insensitivity in processor-sharing networks124 cited
  • 1980Insensitivity in queueing systems67 cited

Cited by

  • 2014Optimal queue-size scaling in switched networks34 cited
  • 2016Proportional Switching in First-in, First-out Networks31 cited
  • 2015Mean field and propagation of chaos in multi-class heterogeneous loss models30 cited
  • 2014Asymptotic optimality of a greedy randomized algorithm in a large-scale service system with general packing constraints26 cited
  • 2016Randomized Assignment of Jobs to Servers in Heterogeneous Clusters of Shared Servers for Low Delay26 cited
  • 2016Stochastic Processing Networks25 cited
  • 2014Resource Sharing Networks: Overview and an Open Problem19 cited
  • 2012Optimal queue-size scaling in switched networks17 cited

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  • 2016Randomized assignment of jobs to servers in heterogeneous clusters of shared servers for low delay17 cited
  • 2016Choosing among heterogeneous server clouds16 cited