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Random Fluid Limit of an Overloaded Polling Model
15 references·0 citing·37 second hop
Random Fluid Limit of an Overloaded Polling Model (2014)Random Fluid Limit of an Overloaded Polli…Fairness and efficiency for polling models with the -gated service discipline (2012)Fairness and efficiency for p…Towards a unifying theory on branching-type polling systems in heavy traffic (2007)Towards a unifying theory on …A Markov chain model of a polling system with parameter regeneration (2007)A Markov chain model of a pol…Analysis and control of polling systems (2005)Analysis and control of polli…Functional central limit theorems for a large network in which customers join the shortest of several queues (2004)Functional central limit theo…Control of Polling in Presence of Vacations in Heavy Traffic with Applications to Satellite and Mobile Radio Systems (2002)Control of Polling in Presenc…A stability criterion via fluid limits and its application to a polling system (1999)A stability criterion via flu…Queueing analysis of polling models: progress in 1990-1994 (1998)Queueing analysis of polling …Polling Systems in Heavy Traffic: A Bessel Process Limit (1998)Polling Systems in Heavy Traf…Heavy traffic analysis for continuous polling models (1997)Heavy traffic analysis for co…Polling Systems with Zero Switchover Times: A Heavy-Traffic Averaging Principle (1995)Polling Systems with Zero Swi…Polling systems and multitype branching processes (1993)Polling systems and multitype…Analysis and optimization of polling systems (1991)Analysis and optimization of …Stochastic analysis of computer and communication systems (1990)Stochastic analysis of comput…Analysis of polling systems (1985)Analysis of polling systemsPiecewise-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)Stability and convergence of moments for multiclass queueing networks via fluid limit models (1995)Multitype branching processes with immigration in random environment, and polling systems (2011)Polling Systems and Multitype Branching Processes in Random Environment with Final Product (2011)Stability analysis of N-model systems under a static priority rule (2012)Stochastic Differential Equations and Diffusion Processes (1983)Limit Theorems for Stochastic Processes (1987)Theory of Martingales (1989)The Stochastic Economic Lot Scheduling Problem: Heavy Traffic Analysis of Dynamic Cyclic Policies (2000)Heavy Traffic Analysis of Dynamic Cyclic Policies: A Unified Treatment of the Single Machine Scheduling Problem (2001)Polling: past, present, and perspective (2018)Blocking When Service Is Required From Several Facilities Simultaneously (1985)Chaoticity on path space for a queueing network with selection of the shortest queue among several (2000)The power of two choices in randomized load balancing (2001)Strong approximation for the supermarket model (2005)Averaging over fast variables in the fluid limit for Markov chains: Application to the supermarket model with memory (2013)Supermarket model on graphs (2017)Multiple channel queues in heavy traffic. I (1970)Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Heavy Traffic Limits for Some Queueing Networks (2001)Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations (1985)Mathematical methods to study the polling systems (2006)Applications of polling systems (2011)Polling systems: applications, modeling, and optimization (1990)Analysis and optimization of vacation and polling models with retrials (2016)Polling Systems and Their Application to Telecommunication Networks (2021)Queues with Periodic Service and Changeover Time (1972)Stochastic Recursive Equations with Applications to Queues with Dependent Vacations (2002)THE ISRAELI QUEUE WITH INFINITE NUMBER OF GROUPS (2013)Queueing Models with Multiple Waiting Lines (2001)Mean value analysis for polling systems (2006)Scheduling in polling systems (2007)Queuing analysis of polling models (1988)Manufacturing flow line systems: a review of models and analytical results (1992)Stability conditions for some distributed systems: buffered random access systems (1994)M/G/1 queue with multiple working vacations (2005)
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References

  • 1985Analysis of polling systems663 cited
  • 1990Stochastic analysis of computer and communication systems389 cited
  • 1993Polling systems and multitype branching processes184 cited
  • 1998Queueing analysis of polling models: progress in 1990-1994111 cited
  • 1995Polling Systems with Zero Switchover Times: A Heavy-Traffic Averaging Principle84 cited
  • 1998Polling Systems in Heavy Traffic: A Bessel Process Limit72 cited
  • 2005Analysis and control of polling systems58 cited
  • 2004Functional central limit theorems for a large network in which customers join the shortest of several queues42 cited
  • 2007Towards a unifying theory on branching-type polling systems in heavy traffic38 cited
  • 1999A stability criterion via fluid limits and its application to a polling system34 cited
  • 1991Analysis and optimization of polling systems33 cited
  • 2002Control of Polling in Presence of Vacations in Heavy Traffic with Applications to Satellite and Mobile Radio Systems21 cited
  • 1997Heavy traffic analysis for continuous polling models18 cited
  • 2007A Markov chain model of a polling system with parameter regeneration17 cited
  • 2012Fairness and efficiency for polling models with the -gated service discipline

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