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Compact Markov-modulated models for multiclass trace fitting
16 references·1 citing·33 second hop
Compact Markov-modulated models for multiclass trace fitting (2016)Compact Markov-modulated models for multi…A Fast EM Algorithm for Fitting Marked Markovian Arrival Processes with a New Special Structure (2013)A Fast EM Algorithm for Fitti…Analysis of the adaptive MMAP[K]/PH[K]/1 queue: A multi-type queue with adaptive arrivals and general impatience (2012)Analysis of the adaptive MMAP…On minimal representations of Rational Arrival Processes (2011)On minimal representations of…Multi-class Markovian arrival processes and their parameter fitting (2010)Multi-class Markovian arrival…Trace data characterization and fitting for Markov modeling (2009)Trace data characterization a…Markovian Arrival Process Parameter Estimation With Group Data (2009)Markovian Arrival Process Par…On the canonical representation of phase type distributions (2008)On the canonical representati…Performance impacts of autocorrelated flows in multi-tiered systems (2007)Performance impacts of autoco…A Markovian canonical form of second-order matrix-exponential processes (2007)A Markovian canonical form of…Modeling IP traffic using the batch Markovian arrival process (2003)Modeling IP traffic using the…An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure (2002)An EM Algorithm for Batch Mar…The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue (2001)The Versatility of MMAP[K] an…Queueing Networks and Markov Chains (1998)Queueing Networks and Markov …Markov chains with marked transitions11This research was supported in part by Grant No. DMI-930628 from the National Science Foundation and the K.C. Wang Education Foundation. (1998)Markov chains with marked tra…The Markov-modulated Poisson process (MMPP) cookbook (1993)The Markov-modulated Poisson …A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)A Markov Modulated Characteri…Modelling and understanding count processes through a Markov-modulated non-homogeneous Poisson process framework (2020)Modelling and understanding c…Applied Probability and Queues (1987)New results on the single server queue with a batch markovian arrival process (1991)Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions (2001)Applied Probability and Queues (2003)Markovian arrivals in stochastic modelling: a survey and some new results (2010)Marked point processes as limits of Markovian arrival streams (1993)A Novel Approach for Phase-Type Fitting with the EM Algorithm (2006)Analysis and optimization of Guard Channel Policy in cellular mobile networks with account of retrials (2013)Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks (2017)Introduction to Queueing Theory and Stochastic Teletraffic Models (2013)Introduction to Stochastic Processes (2014)A Dynamic Approach to Rebalancing Bike-Sharing Systems (2018)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Model-Driven System Capacity Planning under Workload Burstiness (2009)Retrial queuing system with Markovian arrival flow and phase-type service time distribution (2013)Queueing Networks and Markov Chains: Modeling and Performance Evaluation with Computer Science Applications (2000)A refined EM algorithm for PH distributions (2011)mapfit: An R-Based Tool for PH/MAP Parameter Estimation (2015)Quantitative system performance: computer system analysis using queueing network models (1984)Statistics for Long-Memory Processes. (1996)Statistics for Long-Memory Processes. (1996)Bound analysis of closed queueing networks with workload burstiness (2008)KPC-Toolbox: Simple Yet Effective Trace Fitting Using Markovian Arrival Processes (2008)Queueing Systems. Volume 1: Theory (1975)Poisson Arrivals See Time Averages (1982)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Traffic modeling for telecommunications networks (1994)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Risk processes analyzed as fluid queues (2004)Dynamic power management based on continuous-time Markov decision processes (2003)Operations Research and Management Science Handbook (2010)Continuous approximation of collective system behaviour: A tutorial (2013)An EM-Algorithm for MAP Fitting from Real Traffic Data (2003)
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References

  • 1986A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance1,247 cited
  • 1998Queueing Networks and Markov Chains938 cited
  • 1993The Markov-modulated Poisson process (MMPP) cookbook890 cited
  • 2003Modeling IP traffic using the batch Markovian arrival process251 cited
  • 1998Markov chains with marked transitions11This research was supported in part by Grant No. DMI-930628 from the National Science Foundation and the K.C. Wang Education Foundation.129 cited
  • 2009Markovian Arrival Process Parameter Estimation With Group Data97 cited
  • 2002An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure90 cited
  • 2009Trace data characterization and fitting for Markov modeling76 cited
  • 2007Performance impacts of autocorrelated flows in multi-tiered systems72 cited
  • 2010Multi-class Markovian arrival processes and their parameter fitting69 cited
  • 2007A Markovian canonical form of second-order matrix-exponential processes61 cited
  • 2001The Versatility of MMAP[K] and the MMAP[K]/G[K]/1 Queue36 cited
  • 2008On the canonical representation of phase type distributions34 cited
  • 2011On minimal representations of Rational Arrival Processes33 cited

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  • 2013A Fast EM Algorithm for Fitting Marked Markovian Arrival Processes with a New Special Structure28 cited
  • 2012Analysis of the adaptive MMAP[K]/PH[K]/1 queue: A multi-type queue with adaptive arrivals and general impatience27 cited
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    • 2020Modelling and understanding count processes through a Markov-modulated non-homogeneous Poisson process framework24 cited