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ArticleMulti-class Markovian arrival processes and their parameter fitting

Peter Buchholz2010

Article2010

Multi-class Markovian arrival processes and their parameter fitting

Peter Buchholz · Peter F. Kemper · Jan Kriege

69 citations·0/0 files stored·Performance Evaluation

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Petri Nets in System Modeling

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References

2003Modeling IP traffic using the batch Markovian arrival process 1993Marked point processes as limits of Markovian arrival streams 2006A Novel Approach for Phase-Type Fitting with the EM Algorithm 2005The BMAP/G/1 queue: A tutorial 2007A minimal representation of Markov arrival processes and a moments matching method 2005Closed form solutions for mapping general distributions to quasi-minimal PH distributions 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.2002An EM Algorithm for Batch Markovian Arrival Processes and its Comparison to a Simpler Estimation Procedure

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2017Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks 2013Analysis and optimization of Guard Channel Policy in cellular mobile networks with account of retrials 2013A Fast EM Algorithm for Fitting Marked Markovian Arrival Processes with a New Special Structure 2012Analysis of the adaptive MMAP[K]/PH[K]/1 queue: A multi-type queue with adaptive arrivals and general impatience

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2016Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Toolschapter · 8 shared references 2017Fitting correlated arrival and service times and related queueing performancearticle · 7 shared references 2009Faster Maximum Likelihood Estimation Algorithms for Markovian Arrival Processesother · 6 shared references 2013A Fast EM Algorithm for Fitting Marked Markovian Arrival Processes with a New Special Structureother · 6 shared references 2010Markovian arrivals in stochastic modelling: a survey and some new resultsarticle · 5 shared references 2011A refined EM algorithm for PH distributionsarticle · 5 shared references

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Year2010

Typearticle

Published2010-08-12

VenuePerformance Evaluation

ISSN-L0166-5316

Languageen

Citations69

Files0 public / 0

ShelfAdvanced Queuing Theory Analysis

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doi10.1016/j.peva.2010.08.006

openalex_workW1997128351

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2017Fitting correlated arrival and service times and related queueing performance

2016Hysteresis control by the number of active servers in queueing system MMAP/PH/N with priority service

2013MMAP|M|N queueing system with impatient heterogeneous customers as a model of a contact center