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The stability of open queueing networks
3 references·16 citing·40 second hop
The stability of open queueing networks (1990)The stability of open queueing networksJobshop-Like Queueing Systems (2004)Jobshop-Like Queueing SystemsApplied Probability and Queues (1987)Applied Probability and QueuesJobshop-Like Queueing Systems (1963)Jobshop-Like Queueing SystemsPerformance Analysis of Queueing Networks via Robust Optimization (2011)Performance Analysis of Queue…Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic (2009)Stationary Distribution Conve…Stability analysis of regenerative queueing systems (2009)Stability analysis of regener…Stability of Queueing Networks (2008)Stability of Queueing NetworksCompensating for Failures with Flexible Servers (2007)Compensating for Failures wit…Weak Regeneration in Modeling of Queueing Processes (2004)Weak Regeneration in Modeling…Dynamic Server Allocation for Queueing Networks with Flexible Servers (2003)Dynamic Server Allocation for…The tightness in the ergodic analysis of regenerative queueing processes (1997)The tightness in the ergodic …Piecewise linear test functions for stability and instability of queueing networks (1997)Piecewise linear test functio…Stability conditions for multiclass fluid queueing networks (1996)Stability conditions for mult…On the stability of open networks: A unified approach by stochastic dominance (1994)On the stability of open netw…Hierarchical Modeling of Stochastic Networks, Part I: Fluid Models (1994)Hierarchical Modeling of Stoc…Ergodicity of Jackson-type queueing networks (1994)Ergodicity of Jackson-type qu…Regenerative closed queueing networks (1992)Regenerative closed queueing …Strongly Consistent Steady-State Derivative Estimates (1991)Strongly Consistent Steady-St…Ergodicity of queuing networks (1991)Ergodicity of queuing networksOn the Stochastic Matrices Associated with Certain Queuing Processes (1953)Re-entrant lines (1993)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)Using fluid models to prove stability of adversarial queueing networks (2000)On Deciding Stability of Constrained Homogeneous Random Walks and Queueing Systems (2002)Stability of adversarial queues via fluid models (2002)The stability of a queue with non-independent inter-arrival and service times (1962)Stability and structural properties of stochastic storage networks (1996)Moments and Tails in Monotone-Separable Stochastic Networks (2001)Stability of queueing networks and scheduling policies (1995)Stability of a three‐station fluid network (1999)Instability in stochastic and fluid queueing networks (2005)Stability and Asymptotic Optimality of Generalized MaxWeight Policies (2009)Piecewise-Deterministic Markov Processes: A General Class of Non-Diffusion Stochastic Models (1984)OPTIMAL CONTROL OF A TWO-STAGE TANDEM QUEUING SYSTEM WITH FLEXIBLE SERVERS (2002)Optimal dynamic assignment of a flexible worker on an open production line with specialists (2004)Scheduling Flexible Servers with Convex Delay Costs: Heavy-Traffic Optimality of the Generalized cμ-Rule (2004)Throughput Maximization for Tandem Lines with Two Stations and Flexible Servers (2005)Networks of Waiting Lines (1957)Open Queueing Networks in Heavy Traffic (1984)Diffusion models and steady-state approximations for exponentially ergodic markovian queues (2013)Stein’s Method for Steady-state Diffusion Approximations: An Introduction through the Erlang-A and Erlang-C Models (2016)Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Markov chains with discontinuous drifts have differential inclusion limits (2012)Non-existence of stabilizing policies for the critical push–pull network and generalizations (2013)To aggregate or to eliminate? Optimal model simplification for improved process performance prediction (2018)Planning and Control Systems: A Framework for Analysis (1965)Point Processes and Queues (1981)Stability of Open Multiclass Queueing Networks via Fluid Models (1995)State-Dependent Queues: Approximations and Applications (1995)Automatic production control applying control theory (2000)The Operational Analysis of Queueing Network Models (1978)Lot Sizes, Lead Times and In-Process Inventories (1987)Inventory Management of Remanufacturable Products (2000)Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks (1992)Dynamic server allocation to parallel queues with randomly varying connectivity (1993)Asset Pricing with Heterogeneous Consumers (1996)Computational algorithms for closed queueing networks with exponential servers (1973)An introduction to queueing theory (1993)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 1963Jobshop-Like Queueing Systems898 cited
  • 2004Jobshop-Like Queueing Systems733 cited

Cited by

  • 1996Stability conditions for multiclass fluid queueing networks110 cited
  • 2003Dynamic Server Allocation for Queueing Networks with Flexible Servers102 cited
  • 1994Ergodicity of Jackson-type queueing networks97 cited
  • 2009Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic87 cited
  • 1994Hierarchical Modeling of Stochastic Networks, Part I: Fluid Models71 cited
  • 2008Stability of Queueing Networks67 cited
  • 1997Piecewise linear test functions for stability and instability of queueing networks50 cited
  • 1994On the stability of open networks: A unified approach by stochastic dominance45 cited
  • 1997The tightness in the ergodic analysis of regenerative queueing processes42 cited
  • 1991Strongly Consistent Steady-State Derivative Estimates39 cited
  • 2009Stability analysis of regenerative queueing systems38 cited
  • 2004Weak Regeneration in Modeling of Queueing Processes38 cited

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1992
Regenerative closed queueing networks
37 cited
  • 1991Ergodicity of queuing networks36 cited
  • 2007Compensating for Failures with Flexible Servers35 cited
  • 2011Performance Analysis of Queueing Networks via Robust Optimization29 cited