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On the saturation rule for the stability of queues
3 references·16 citing·44 second hop
On the saturation rule for the stability of queues (1995)On the saturation rule for the stability …Stability of Generalized Jackson Networks (1994)Stability of Generalized Jack…Instability of FIFO Queueing Networks (1994)Instability of FIFO Queueing …Asymptotic Methods in Queueing Theory. (1986)Asymptotic Methods in Queuein…The saturated Multiserver Job Queuing Model with two classes of jobs: Exact and approximate results (2023)The saturated Multiserver Job…The RESET and MARC techniques, with application to multiserver-job analysis (2023)The RESET and MARC techniques…New Stability Results for Multiserver-job Models via Product-form Saturated Systems (2023)New Stability Results for Mul…WCFS: a new framework for analyzing multiserver systems (2022)WCFS: a new framework for ana…The multiserver job queueing model (2022)The multiserver job queueing …Zero Queueing for Multi-Server Jobs (2021)Zero Queueing for Multi-Serve…The G-queue with heterogeneous servers: Steady state solution and an application to performance evaluation (2006)The G-queue with heterogeneou…Tails in generalized Jackson networks with subexponential service-time distributions (2005)Tails in generalized Jackson …Moments and tails in monotone-separable stochastic networks (2004)Moments and tails in monotone…Asymptotics of Subexponential Max Plus Networks: the Stochastic Event Graph Case (2004)Asymptotics of Subexponential…Moments and Tails in Monotone-Separable Stochastic Networks (2001)Moments and Tails in Monotone…Stochastic storage networks: stationarity and the feedforward case (1997)Stochastic storage networks: …Stability of polling systems with exhaustive service policies and state-dependent routing (1996)Stability of polling systems …Dobrushin′s approach to queueing network theory (1996)Dobrushin′s approach to queue…Dam processes with state dependent batch sizes and intermittent production processes with state dependent rates (1996)Dam processes with state depe…Ergodicity of Jackson-type queueing networks (1994)Ergodicity of Jackson-type qu…Asymptotic behaviour of Wiener-Hopf factors of a random walk (1977)Estimates for the probability of ruin with special emphasis on the possibility of large claims (1982)Modelling Extremal Events (1997)A Note on Veraverbeke's Theorem (2004)The probability of exceeding a high boundary on a random time interval for a heavy-tailed random walk (2005)Discrete and Continuous Time Modulated Random Walks with Heavy-Tailed Increments (2007)The stability of a queue with non-independent inter-arrival and service times (1962)Jobshop-Like Queueing Systems (1963)Stability and structural properties of stochastic storage networks (1996)Piecewise linear test functions for stability and instability of queueing networks (1997)Jobshop-Like Queueing Systems (2004)Dominance relations in polling systems (1990)Monotonicity and stability of periodic polling models (1994)On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models (1995)On the Stability of Greedy Polling Systems with General Service Policies (1998)A Markov chain model of a polling system with parameter regeneration (2007)Stability and performance of greedy server systems (2011)Poisson Arrivals See Time Averages (1982)The Single Server Queue (1983)Applied Probability and Queues (1987)A correlated MG1-type queue with randomized server repair and maintenance modes (2000)A queueing model with dependence between service and interarrival times (2001)Finite-Buffer Queues with Workload-Dependent Service and Arrival Rates (2005)The Markov-modulated Poisson process (MMPP) cookbook (1993)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analytic Methods in Stochastic Modeling (2000)An efficient computation algorithm for a multiserver feedback retrial queue with a large queueing capacity (2009)An initiative for a classified bibliography on G-networks (2010)Performance Analysis of a Two-Server Heterogeneous Retrial Queue with Threshold Policy (2011)Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach (1984)Blocking When Service Is Required From Several Facilities Simultaneously (1985)Stability criterion of a multiserver model with simultaneous service (2015)Optimal Scheduling in the Multiserver-job Model under Heavy Traffic (2022)Three-level modeling of a speed-scaling supercomputer (2022)Stability conditions for multiclass fluid queueing networks (1996)Stability of Queueing Networks (2008)Stability of queueing networks (2008)Stability and Instability of Fluid Models for Reentrant Lines (1996)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Maximum Pressure Policies in Stochastic Processing Networks (2005)Processor-sharing queues: Some progress in analysis (1987)Properties of the Reflected Ornstein–Uhlenbeck Process (2003)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Heavy Tails in Multi-Server Queue (2006)
this work references cited by second hop

References

  • 1994Instability of FIFO Queueing Networks263 cited
  • 1986Asymptotic Methods in Queueing Theory.225 cited
  • 1994Stability of Generalized Jackson Networks170 cited

Cited by

  • 1994Ergodicity of Jackson-type queueing networks97 cited
  • 2001Moments and Tails in Monotone-Separable Stochastic Networks46 cited
  • 2004Moments and tails in monotone-separable stochastic networks41 cited
  • 2006The G-queue with heterogeneous servers: Steady state solution and an application to performance evaluation41 cited
  • 2022The multiserver job queueing model33 cited
  • 1996Dam processes with state dependent batch sizes and intermittent production processes with state dependent rates32 cited
  • 1996Stability of polling systems with exhaustive service policies and state-dependent routing29 cited
  • 2005Tails in generalized Jackson networks with subexponential service-time distributions27 cited
  • 2004Asymptotics of Subexponential Max Plus Networks: the Stochastic Event Graph Case26 cited
  • 2022WCFS: a new framework for analyzing multiserver systems25 cited
  • 1997Stochastic storage networks: stationarity and the feedforward case23 cited
  • 2023The RESET and MARC techniques, with application to multiserver-job analysis

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22 cited
  • 2023New Stability Results for Multiserver-job Models via Product-form Saturated Systems19 cited
  • 2023The saturated Multiserver Job Queuing Model with two classes of jobs: Exact and approximate results19 cited
  • 1996Dobrushin′s approach to queueing network theory19 cited
  • 2021Zero Queueing for Multi-Server Jobs17 cited