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PH and MAP Fitting with Aggregated Traffic Traces
16 references·2 citing·28 second hop
PH and MAP Fitting with Aggregated Traffic Traces (2014)PH and MAP Fitting with Aggregated Traffi…Input Modeling with Phase-Type Distributions and Markov Models: Theory and Applications (2014)Input Modeling with Phase-Typ…Input Modeling with Phase-Type Distributions and Markov Models (2014)Input Modeling with Phase-Typ…A refined EM algorithm for PH distributions (2011)A refined EM algorithm for PH…Markovian arrivals in stochastic modelling: a survey and some new results (2010)Markovian arrivals in stochas…Markovian Arrival Process Parameter Estimation With Group Data (2009)Markovian Arrival Process Par…A Heuristic Approach for Fitting MAPs to Moments and Joint Moments (2009)A Heuristic Approach for Fitt…KPC-Toolbox: Simple Yet Effective Trace Fitting Using Markovian Arrival Processes (2008)KPC-Toolbox: Simple Yet Effec…Matching More Than Three Moments with Acyclic Phase Type Distributions (2007)Matching More Than Three Mome…Efficient phase-type fitting with aggregated traffic traces (2006)Efficient phase-type fitting …A Novel Approach for Phase-Type Fitting with the EM Algorithm (2006)A Novel Approach for Phase-Ty…A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag correlation (2005)A MAP fitting approach with i…Modeling IP traffic using the batch Markovian arrival process (2003)Modeling IP traffic using the…An EM-Algorithm for MAP Fitting from Real Traffic Data (2003)An EM-Algorithm for MAP Fitti…An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure (2002)An EM Algorithm for Batch Mar…Matching moments to phase distributions: nonlinear programming approaches (1990)Matching moments to phase dis…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…On the Stochastic and Asymptotic Improvement of First-Come First-Served and Nudge Scheduling (2022)On the Stochastic and Asympto…Performance Analysis of Workload Dependent Load Balancing Policies (2019)Performance Analysis of Workl…The Markov-modulated Poisson process (MMPP) cookbook (1993)Faster Maximum Likelihood Estimation Algorithms for Markovian Arrival Processes (2009)Matrix-Analytic Methods in Stochastic Models (2014)New results on the single server queue with a batch markovian arrival process (1991)Multi-class Markovian arrival processes and their parameter fitting (2010)Calculating equilibrium probabilities for λ(n)/C k /1/N queues (1980)Applied Probability and Queues (1987)Computational methods in risk theory: A matrix-algorithmic approach (1992)Transient Behavior of the M/G/1 Workload Process (1994)A Closed-Form Solution for Mapping General Distributions to Minimal PH Distributions (2003)Applied Probability and Queues (2003)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Vacation Queueing Models Theory and Applications (2006)Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service (2015)Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks (2017)A queueing model with server breakdowns, repairs, vacations, and backup server (2019)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)Queueing Networks and Markov Chains: Modeling and Performance Evaluation with Computer Science Applications (2000)mapfit: An R-Based Tool for PH/MAP Parameter Estimation (2015)Marked point processes as limits of Markovian arrival streams (1993)Risk processes analyzed as fluid queues (2004)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Inventory Control in a Fluctuating Demand Environment (1993)To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)Trace data characterization and fitting for Markov modeling (2009)Modeling and Evaluating Insurance Losses Via Mixtures of Erlang Distributions (2010)Retrial multi-server queuing system with PHF service time distribution as a model of a channel with unreliable transmission of information (2018)Stability Analysis of a Multi-server Model with Simultaneous Service and a Regenerative Input Flow (2019)
this work references cited by second hop

References

  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 2003Modeling IP traffic using the batch Markovian arrival process251 cited
  • 2006A Novel Approach for Phase-Type Fitting with the EM Algorithm217 cited
  • 2014Input Modeling with Phase-Type Distributions and Markov Models138 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
  • 2005A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag correlation85 cited
  • 2003An EM-Algorithm for MAP Fitting from Real Traffic Data78 cited
  • 2010Markovian arrivals in stochastic modelling: a survey and some new results70 cited
  • 1990Matching moments to phase distributions: nonlinear programming approaches70 cited
  • 2014Input Modeling with Phase-Type Distributions and Markov Models: Theory and Applications66 cited
  • 2008KPC-Toolbox: Simple Yet Effective Trace Fitting Using Markovian Arrival Processes64 cited
  • 2006Efficient phase-type fitting with aggregated traffic traces60 cited
  • 2011A refined EM algorithm for PH distributions55 cited
  • 2009

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A Heuristic Approach for Fitting MAPs to Moments and Joint Moments
43 cited
  • 2007Matching More Than Three Moments with Acyclic Phase Type Distributions36 cited
  • Cited by

    • 2019Performance Analysis of Workload Dependent Load Balancing Policies20 cited
    • 2022On the Stochastic and Asymptotic Improvement of First-Come First-Served and Nudge Scheduling19 cited