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Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Tools
16 references·2 citing·31 second hop
Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Tools (2016)Fitting Phase-Type Distributions and Mark…Markovian Arrival Process Parameter Estimation With Group Data (2009)Markovian Arrival Process Par…A minimal representation of Markov arrival processes and a moments matching method (2007)A minimal representation of M…Queueing Networks and Markov Chains (2006)Queueing Networks and Markov …A Novel Approach for Phase-Type Fitting with the EM Algorithm (2006)A Novel Approach for Phase-Ty…Matching Three Moments with Minimal Acyclic Phase Type Distributions (2005)Matching Three Moments with M…Closed form solutions for mapping general distributions to quasi-minimal PH distributions (2005)Closed form solutions for map…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…Queueing Networks and Markov Chains: Modeling and Performance Evaluation with Computer Science Applications (2000)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…Marked point processes as limits of Markovian arrival streams (1993)Marked point processes as lim…The least variable phase type distribution is erlang (1987)The least variable phase type…A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)A Markov Modulated Characteri…Matrix-geometric solutions in stochastic models (1985)Matrix-geometric solutions in…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…Calculating equilibrium probabilities for λ(n)/C k /1/N queues (1980)Calculating equilibrium proba…Call center data modeling: a queueing science approach based on Markovian arrival process (2024)Call center data modeling: a …A Monte Carlo simulation-based simulated annealing algorithm for predicting the minimum staffing requirement at a blood donor centre (2023)A Monte Carlo simulation-base…Comparison Methods for Queues and Other Stochastic Models (1984)Comparison Methods for Queues and Other Stochastic Models. (1986)New results on the single server queue with a batch markovian arrival process (1991)The transient BMAP/G/l queue (1994)Structural results for the control of queueing systems using event-based dynamic programming (1998)The BMAP/G/1 queue: A tutorial (2005)Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)Acyclic discrete phase type distributions: properties and a parameter estimation algorithm (2003)The Markov-modulated Poisson process (MMPP) cookbook (1993)An EM-Algorithm for MAP Fitting from Real Traffic Data (2003)Multi-class Markovian arrival processes and their parameter fitting (2010)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)An integrated production and inventory model to dampen upstream demand variability in the supply chain (2006)A Markovian canonical form of second-order matrix-exponential processes (2007)A refined EM algorithm for PH distributions (2011)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)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)Continuous approximation of collective system behaviour: A tutorial (2013)Queue mining for delay prediction in multi-class service processes (2015)Time and activity sequence prediction of business process instances (2018)Modeling and Evaluating Insurance Losses Via Mixtures of Erlang Distributions (2010)Models for analysis of packet voice communications systems (1986)Risk theory in a Markovian environment (1989)Russian and American put options under exponential phase-type Lévy models (2003)Introduction to Queuing Theory (2008)LSTM networks for data-aware remaining time prediction of business process instances (2017)
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References

  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1986A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance1,247 cited
  • 2000Queueing Networks and Markov Chains: Modeling and Performance Evaluation with Computer Science Applications1,147 cited
  • 2006Queueing Networks and Markov Chains932 cited
  • 1985Matrix-geometric solutions in stochastic models871 cited
  • 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
  • 1987The least variable phase type distribution is erlang186 cited
  • 2005Matching Three Moments with Minimal Acyclic Phase Type Distributions159 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
  • 1980Calculating equilibrium probabilities for λ(n)/C k /1/N queues111 cited

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  • 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
  • Cited by

    • 2024Call center data modeling: a queueing science approach based on Markovian arrival process14 cited
    • 2023A Monte Carlo simulation-based simulated annealing algorithm for predicting the minimum staffing requirement at a blood donor centre6 cited