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Multi-class Markovian arrival processes and their parameter fitting
10 references·7 citing·30 second hop
Multi-class Markovian arrival processes and their parameter fitting (2010)Multi-class Markovian arrival processes a…Trace data characterization and fitting for Markov modeling (2009)Trace data characterization a…A minimal representation of Markov arrival processes and a moments matching method (2007)A minimal representation of M…A Novel Approach for Phase-Type Fitting with the EM Algorithm (2006)A Novel Approach for Phase-Ty…The BMAP/G/1 queue: A tutorial (2005)The BMAP/G/1 queue: A tutorialClosed form solutions for mapping general distributions to quasi-minimal PH distributions (2005)Closed form solutions for map…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 Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure (2002)An EM Algorithm for Batch Mar…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…Marked point processes as limits of Markovian arrival streams (1993)Marked point processes as lim…Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks (2017)Queueing systems with correla…Fitting correlated arrival and service times and related queueing performance (2017)Fitting correlated arrival an…Hysteresis control by the number of active servers in queueing system MMAP/PH/N with priority service (2016)Hysteresis control by the num…MMAP|M|N queueing system with impatient heterogeneous customers as a model of a contact center (2013)MMAP|M|N queueing system with…Analysis and optimization of Guard Channel Policy in cellular mobile networks with account of retrials (2013)Analysis and optimization of …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…A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)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)Tail probabilities with statistical multiplexing and effective bandwidths in multi-class queues (1993)Markovian arrivals in stochastic modelling: a survey and some new results (2010)Applied Probability and Queues (1987)Queue Length Distribution in a FIFO Single-Server Queue with Multiple Arrival Streams Having Different Service Time Distributions (2001)Applied Probability and Queues (2003)Multi-server retrial queue with negative customers and disasters (2007)Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)The transient BMAP/G/l queue (1994)Structural results for the control of queueing systems using event-based dynamic programming (1998)Approximating a Point Process by a Renewal Process, I: Two Basic Methods (1982)The least variable phase type distribution is erlang (1987)KPC-Toolbox: Simple Yet Effective Trace Fitting Using Markovian Arrival Processes (2008)A decomposition method for approximate evaluation of continuous flow multi-stage lines with general Markovian machines (2011)Valuation of Storage at a Liquefied Natural Gas Terminal (2011)The Markov-modulated Poisson process (MMPP) cookbook (1993)An EM-Algorithm for MAP Fitting from Real Traffic Data (2003)Markovian Arrival Process Parameter Estimation With Group Data (2009)A refined EM algorithm for PH distributions (2011)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)A Markovian canonical form of second-order matrix-exponential processes (2007)Introduction to Matrix Analytic Methods in Stochastic Modeling (2000)Model-Driven System Capacity Planning under Workload Burstiness (2009)Retrial queuing system with Markovian arrival flow and phase-type service time distribution (2013)Modeling and Evaluating Insurance Losses Via Mixtures of Erlang Distributions (2010)Cluster-based fitting of phase-type distributions to empirical data (2012)Risk processes analyzed as fluid queues (2004)
this work references cited by second hop

References

  • 2003Modeling IP traffic using the batch Markovian arrival process251 cited
  • 1993Marked point processes as limits of Markovian arrival streams234 cited
  • 2006A Novel Approach for Phase-Type Fitting with the EM Algorithm217 cited
  • 2005The BMAP/G/1 queue: A tutorial199 cited
  • 2007A minimal representation of Markov arrival processes and a moments matching method152 cited
  • 2005Closed form solutions for mapping general distributions to quasi-minimal PH distributions140 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
  • 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
  • 2009Trace data characterization and fitting for Markov modeling76 cited

Cited by

  • 2017Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks62 cited
  • 2013Analysis and optimization of Guard Channel Policy in cellular mobile networks with account of retrials30 cited
  • 2013A Fast EM Algorithm for Fitting Marked Markovian Arrival Processes with a New Special Structure28 cited

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  • 2012Analysis of the adaptive MMAP[K]/PH[K]/1 queue: A multi-type queue with adaptive arrivals and general impatience27 cited
  • 2017Fitting correlated arrival and service times and related queueing performance24 cited
  • 2016Hysteresis control by the number of active servers in queueing system MMAP/PH/N with priority service19 cited
  • 2013MMAP|M|N queueing system with impatient heterogeneous customers as a model of a contact center18 cited