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Efficient phase-type fitting with aggregated traffic traces
3 references·15 citing·35 second hop
Efficient phase-type fitting with aggregated traffic traces (2006)Efficient phase-type fitting with aggrega…A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag correlation (2005)A MAP fitting approach with i…An EM-based technique for approximating long-tailed data sets with PH distributions (2003)An EM-based technique for app…Acyclic discrete phase type distributions: properties and a parameter estimation algorithm (2003)Acyclic discrete phase type d…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…On the Power-of-d-choices with Least Loaded Server Selection (2018)On the Power-of-d-choices wit…Hysteresis control by the number of active servers in queueing system MMAP/PH/N with priority service (2016)Hysteresis control by the num…Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Tools (2016)Fitting Phase-Type Distributi…mapfit: An R-Based Tool for PH/MAP Parameter Estimation (2015)mapfit: An R-Based Tool for P…PH and MAP Fitting with Aggregated Traffic Traces (2014)PH and MAP Fitting with Aggre…Multi-server queueing system with a generalized phase-type service time distribution as a model of call center with a call-back option (2014)Multi-server queueing system …Tandem queueing system with impatient customers as a model of call center with Interactive Voice Response (2013)Tandem queueing system with i…Retrial queuing system with Markovian arrival flow and phase-type service time distribution (2013)Retrial queuing system with M…Queueing system MAP|PH|N|N+R with impatient heterogeneous customers as a model of call center (2012)Queueing system MAP|PH|N|N+R …A new class of models for heavy tailed distributions in finance and insurance risk (2012)A new class of models for hea…A refined EM algorithm for PH distributions (2011)A refined EM algorithm for PH…KPC-Toolbox: Best recipes for automatic trace fitting using Markovian Arrival Processes (2010)KPC-Toolbox: Best recipes for…Faster Maximum Likelihood Estimation Algorithms for Markovian Arrival Processes (2009)Faster Maximum Likelihood Est…Closed form solutions for mapping general distributions to quasi-minimal PH distributions (2005)Matching Three Moments with Minimal Acyclic Phase Type Distributions (2005)A Novel Approach for Phase-Type Fitting with the EM Algorithm (2006)Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-geometric solutions in stochastic models (1985)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)A Fast EM Algorithm for Fitting Marked Markovian Arrival Processes with a New Special Structure (2013)New results on the single server queue with a batch markovian arrival process (1991)Retrial Queues (1997)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Analysis of unreliable BMAP/PH/N type queue with Markovian flow of breakdowns (2017)Analysis of a semi-open queueing network with Markovian arrival process (2018)Performance Evaluation of the Priority Multi-Server System MMAP/PH/M/N Using Machine Learning Methods (2021)Capital market equilibrium in a mean-lower partial moment framework (1977)Modelling Extremal Events (1997)Skew mixture models for loss distributions: A Bayesian approach (2012)Modeling Severity and Measuring Tail Risk of Norwegian Fire Claims (2015)Compound unimodal distributions for insurance losses (2017)Simulation Modeling and Analysis. (1983)KPC-Toolbox: Simple Yet Effective Trace Fitting Using Markovian Arrival Processes (2008)Solving Semi-Open Queuing Networks (2009)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)The least variable phase type distribution is erlang (1987)A review of discrete-time risk models (2009)A stochastic dynamic pricing model for the multiclass problems in the airline industry (2014)Designing a Call Center with Impatient Customers (2002)The Modern Call Center: A Multi‐Disciplinary Perspective on Operations Management Research (2007)Multi-server tandem queue with Markovian arrival process, phase-type service times, and finite buffers (2016)Retrial multi-server queuing system with PHF service time distribution as a model of a channel with unreliable transmission of information (2018)The power of two choices in randomized load balancing (2001)Asymptotic independence of queues under randomized load balancing (2012)Analysis of Redundancy(d) with Identical Replicas (2019)Steady‐state analysis of load balancing with Coxian‐2 distributed service times (2021)Trace data characterization and fitting for Markov modeling (2009)Multi-class Markovian arrival processes and their parameter fitting (2010)
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References

  • 2003Acyclic discrete phase type distributions: properties and a parameter estimation algorithm128 cited
  • 2005A MAP fitting approach with independent approximation of the inter-arrival time distribution and the lag correlation85 cited
  • 2003An EM-based technique for approximating long-tailed data sets with PH distributions75 cited

Cited by

  • 2012A new class of models for heavy tailed distributions in finance and insurance risk75 cited
  • 2011A refined EM algorithm for PH distributions55 cited
  • 2012Queueing system MAP|PH|N|N+R with impatient heterogeneous customers as a model of call center55 cited
  • 2013Retrial queuing system with Markovian arrival flow and phase-type service time distribution39 cited
  • 2015mapfit: An R-Based Tool for PH/MAP Parameter Estimation35 cited
  • 2009Faster Maximum Likelihood Estimation Algorithms for Markovian Arrival Processes35 cited
  • 2018On the Power-of-d-choices with Least Loaded Server Selection33 cited
  • 2016Fitting Phase-Type Distributions and Markovian Arrival Processes: Algorithms and Tools28 cited
  • 2010KPC-Toolbox: Best recipes for automatic trace fitting using Markovian Arrival Processes21 cited
  • 2013Tandem queueing system with impatient customers as a model of call center with Interactive Voice Response21 cited
  • 2014PH and MAP Fitting with Aggregated Traffic Traces

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20 cited
  • 2019Performance Analysis of Workload Dependent Load Balancing Policies20 cited
  • 2022On the Stochastic and Asymptotic Improvement of First-Come First-Served and Nudge Scheduling19 cited
  • 2016Hysteresis control by the number of active servers in queueing system MMAP/PH/N with priority service19 cited
  • 2014Multi-server queueing system with a generalized phase-type service time distribution as a model of call center with a call-back option18 cited