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MARKOV MODULATED FLUID QUEUES WITH BATCH FLUID ARRIVALS
11 references·2 citing·37 second hop
MARKOV MODULATED FLUID QUEUES WITH BATCH FLUID ARRIVALS (2001)MARKOV MODULATED FLUID QUEUES WITH BATCH …Stationary distributions for fluid flow models with or without brownian noise (1995)Stationary distributions for …The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority (1994)The workload in theMAP/G/1 qu…Rate conservation laws: A survey (1994)Rate conservation laws: A sur…Fluid Models in Queueing Theory and Wiener-Hopf Factorization of Markov Chains (1994)Fluid Models in Queueing Theo…Ladder heights and the Markov-modulated M/G/1 queue (1991)Ladder heights and the Markov…Analysis of separable Markov-modulated rate models for information-handling systems (1991)Analysis of separable Markov-…Analysis of separable Markov-modulated rate models for information-handling systems (1991)Analysis of separable Markov-…Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue (1989)Markov processes whose steady…Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Stochastic theory of a fluid …Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Stochastic Theory of a Data-H…The stability of a queue with non-independent inter-arrival and service times (1962)The stability of a queue with…A MAP-modulated fluid flow model with multiple vacations (2012)A MAP-modulated fluid flow mo…A Markov‐modulated fluid flow queueing model under D‐policy (2011)A Markov‐modulated fluid flow…A Proof for the Queuing Formula: L = λ W (1961)Open, Closed, and Mixed Networks of Queues with Different Classes of Customers (1975)Decomposition formulas for single server queues with vacations : a unified approach by the rate conservation law (1994)Markov-modulated and feedback fluid queues (1998)On the relationship between queue lengths at a random instant and at a departure in the stationary queue with bmap arrivals (1998)Stochastic Integration and Differential Equations (2005)Matrix-Geometric Solutions to Stochastic Models (1984)New results on the single server queue with a batch markovian arrival process (1991)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions (2001)Discrete-time queues with generally distributed service times and renewal-type server interruptions (2003)Markovian arrivals in stochastic modelling: a survey and some new results (2010)Fundamentals of Queueing Theory. (1977)The Single Server Queue (1983)Matrix-geometric solutions in stochastic models (1985)A duality theorem for the matrix paradigms in queueing theory (1990)A Queue with Service Interruptions in an Alternating Random Environment (1990)Computational methods in risk theory: A matrix-algorithmic approach (1992)Decomposability: Queueing and Computer System Applications (1977)Re-entrant lines (1993)Queueing theory in manufacturing systems analysis and design: A classification of models for production and transfer lines (1996)Throughput analysis of production systems: recent advances and future topics (2008)Applied Probability and Queues (1987)Matrix analytic methods for stochastic fluid flows (1999)Rare Events Simulation for Heavy-Tailed Distributions (2000)Erlangian Approximations for Finite-Horizon Ruin Probabilities (2002)Applied Probability and Queues (2003)A Many-Server Queue with Service Interruptions (1968)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Efficient algorithms for transient analysis of stochastic fluid flow models (2005)Matrix-analytic methods for fluid queues with finite buffers (2005)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Stability, queue length, and delay of deterministic and stochastic queueing networks (1994)Traffic modeling for telecommunications networks (1994)On Queues in Heavy Traffic (1962)On the stability of interacting queues in a multiple-access system (1988)Fluid models for the analysis and design of statistical multiplexing with loss priorities on multiple classes of bursty traffic (1992)
this work references cited by second hop

References

  • 1982Stochastic Theory of a Data-Handling System with Multiple Sources1,271 cited
  • 1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
  • 1988Stochastic theory of a fluid model of producers and consumers coupled by a buffer419 cited
  • 1994Fluid Models in Queueing Theory and Wiener-Hopf Factorization of Markov Chains248 cited
  • 1991Analysis of separable Markov-modulated rate models for information-handling systems209 cited
  • 1995Stationary distributions for fluid flow models with or without brownian noise206 cited
  • 1991Analysis of separable Markov-modulated rate models for information-handling systems188 cited
  • 1989Markov processes whose steady state distribution is matrix-exponential with an application to theGI/PH/1 queue108 cited
  • 1994The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority78 cited
  • 1994Rate conservation laws: A survey73 cited
  • 1991Ladder heights and the Markov-modulated M/G/1 queue52 cited

Cited by

  • 2011A Markov‐modulated fluid flow queueing model under D‐policy14 cited
  • 2012A MAP-modulated fluid flow model with multiple vacations13 cited

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