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Linear stochastic fluid networks
16 references·4 citing·39 second hop
Linear stochastic fluid networks (1999)Linear stochastic fluid networksStability and structural properties of stochastic storage networks (1996)Stability and structural prop…Server Staffing to Meet Time-Varying Demand (1996)Server Staffing to Meet Time-…Explosive Poisson Shot Noise Processes with Applications to Risk Reserves (1995)Explosive Poisson Shot Noise …An Analysis of the Modified Offered-Load Approximation for the Nonstationary Erlang Loss Model (1994)An Analysis of the Modified O…The Physics of the Mt/G/∞ Queue (1993)The Physics of the Mt/G/∞ Que…Parallel and Tandem Fluid Networks with Dependent Levy Inputs (1993)Parallel and Tandem Fluid Net…Networks of infinite-server queues with nonstationary Poisson input (1993)Networks of infinite-server q…Mt/G/∞ Queues with Sinusoidal Arrival Rates (1993)Mt/G/∞ Queues with Sinusoidal…A new view of the heavy-traffic limit theorem for infinite-server queues (1991)A new view of the heavy-traff…On the GIX/G/∞ system (1990)On the GIX/G/∞ systemOn Arrivals That See Time Averages (1990)On Arrivals That See Time Ave…On Arrivals That See Time Averages (1990)On Arrivals That See Time Ave…Applied Probability and Queues (1987)Applied Probability and QueuesA first course in bulk queues (1984)A first course in bulk queuesA First Course in Bulk Queues (1983)A First Course in Bulk QueuesOn infinite server queues with batch arrivals (1966)On infinite server queues wit…Shot-noise queueing models (2021)Shot-noise queueing modelsThe [Pht/Pht/∞]K Queueing System: Part II—The Multiclass Network (2004)The [Pht/Pht/∞]K Queueing Sys…A second-order Markov-modulated fluid queue with linear service rate (2004)A second-order Markov-modulat…Non-product form of two-dimensional fluid networks with dependent Lévy inputs (2000)Non-product form of two-dimen…Point Processes and Queues (1981)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)Strong Approximations for Time-Dependent Queues (1995)Martingale proofs of many-server heavy-traffic limits for Markovian queues (2007)Erlang-R: A Time-Varying Queue with Reentrant Customers, in Support of Healthcare Staffing (2014)An introduction to mathematical risk theory (1979)Aspects of Risk Theory (1991)Limit theorems for workload input models (1996)Continuous Martingales and Brownian Motion (1999)Fractional Brownian motion as a weak limit of Poisson shot noise processes—with applications to finance (2004)Risk Processes with Non-stationary Hawkes Claims Arrivals (2008)Markovian network processes: Congestion-dependent routing and processing (1989)Stochastic Modeling and the Theory of Queues (1989)Rate conservation laws: A survey (1994)An algorithm to compute blocking probabilities in multi-rate multi-class multi-resource loss models (1995)Comparing counting processes and queues (1981)What you should know about queueing models to set staffing requirements in service systems (2007)Stabilizing Customer Abandonment in Many-Server Queues with Time-Varying Arrivals (2012)Staffing and scheduling under nonstationary demand for service: A literature review (2015)Heavy-Traffic Limits for Queues with Many Exponential Servers (1981)APPROXIMATIONS FOR THE GI/G/m QUEUE (1993)An Annotated Bibliography of Personnel Scheduling and Rostering (2004)On Customer Contact Centers with a Call-Back Option: Customer Decisions, Routing Rules, and System Design (2004)Staffing of Time-Varying Queues to Achieve Time-Stable Performance (2008)The Pointwise Stationary Approximation for Queues with Nonstationary Arrivals (1991)Limiting diffusion approximations for the many server queue and the repairman problem (1965)On the heavy-traffic limit theorem forGI/G/∞ queues (1982)Open Queueing Networks in Heavy Traffic (1984)A heavy-traffic analysis of a closed queueing system with a GI/∞ service center (1997)Heavy-Traffic Limits for the G/H2*/n/mQueue (2005)Two-parameter heavy-traffic limits for infinite-server queues (2010)Performance analysis of time-dependent queueing systems: Survey and classification (2015)Performance analysis of parallel processing systems (1988)A survey on retrial queues (1989)Batch arrival queue with N-policy and single vacation (1995)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)
this work references cited by second hop

References

  • 1987Applied Probability and Queues2,704 cited
  • 1983A First Course in Bulk Queues529 cited
  • 1993The Physics of the Mt/G/∞ Queue239 cited
  • 1996Server Staffing to Meet Time-Varying Demand226 cited
  • 1993Networks of infinite-server queues with nonstationary Poisson input192 cited
  • 1993Mt/G/∞ Queues with Sinusoidal Arrival Rates167 cited
  • 1995Explosive Poisson Shot Noise Processes with Applications to Risk Reserves146 cited
  • 1991A new view of the heavy-traffic limit theorem for infinite-server queues108 cited
  • 1990On Arrivals That See Time Averages107 cited
  • 1994An Analysis of the Modified Offered-Load Approximation for the Nonstationary Erlang Loss Model97 cited
  • 1990On Arrivals That See Time Averages89 cited
  • 1990On the GIX/G/∞ system77 cited
  • 1966On infinite server queues with batch arrivals75 cited
  • 1996Stability and structural properties of stochastic storage networks69 cited
  • 1984A first course in bulk queues68 cited
  • 1993Parallel and Tandem Fluid Networks with Dependent Levy Inputs56 cited

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Cited by

  • 2004The [Pht/Pht/∞]K Queueing System: Part II—The Multiclass Network19 cited
  • 2021Shot-noise queueing models17 cited
  • 2004A second-order Markov-modulated fluid queue with linear service rate15 cited
  • 2000Non-product form of two-dimensional fluid networks with dependent Lévy inputs13 cited