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Publications

2014

  • Peter Buchholz, Jan Kriege, Dimitri Scheftelowitsch:
    Model Checking Stochastic Automata for Dependability and Performance Measures
    Proc. of the 44th Annual IEEE/IFIP International Conference on Dependable Systems and Networks (DSN), 2014.
  • Peter Buchholz, Jan Kriege, Iryna Felko:
    Input Modeling with Phase Type Distributions and Markov Models - Theory and Applications
    SpringerBriefs in Mathematics, 2014.
  • Peter Buchholz, Jan Kriege:
    Markov Modeling of Availability and Unavailability Data
    Proc. of the Tenth European Dependable Computing Conference (EDCC), 2014.
  • Jan Kriege, Peter Buchholz:
    PH and MAP Fitting with Aggregated Traffic Traces
    Proc. of the 17th International GI/ITG Conference on Measurement, Modelling and Evaluation of Computing Systems and Dependability and Fault Tolerance (MMB & DFT 2014), Springer, 2014.
  • Peter Buchholz, Jan Kriege:
    Approximate aggregation of Markovian models using alternating least squares
    Performance Evaluation, Volume 73, 2014.

 

2013

  • P. Buchholz, M. Telek.
    On Minimal Representation of Rational Arrival Processes
    Annals of Operations Research (Abstract in Proc. MCQR'2010).
  • P. Buchholz, M. Telek:
    Rational Automata Networks - A Non-Markovian Modeling Approach -
    INFORMS Journal on Computing 25 (1), 2013, 87-101.

  • P. Buchholz:
    Numerical Analysis of Rational Processes - Beyond Markov Chains -
    Performance Evaluation 70 (9) , 2013, 646-662.

  • P. Buchholz, I. Felko, J. Kriege:
    Transformation of Acyclic Phase Type Distributions for Correlation Fitting.
    20th International Conference on Analytical & Stochastic Modelling Techniques & Applications (AMSTA), Springer LNCS 7984, 2013, 96-111.

  • Jan Kriege:
    Modellierung korrelierter Eingabedaten für Simulationen
    Ausgezeichnete Informatikdissertationen 2012, GI Lecture Notes in Informatics (LNI), 2013.

     

 

2012

  • P. Buchholz, M. Telek.
    Rational Processes Related to Communicating Markov Processes
    Journal of Applied Probability 49 (1), 2012, pp. 40-59.
  • J. Kriege, P. Buchholz:
    Traffic Modeling with a Combination of Phase-Type Distributions and ARMA Processes.
    WSC 2012
  • P. Buchholz, J. Kriege:
    Aggregation of Markovian Models - An Alternating Least Squares Approach.
    Proc. QEST 2012, IEEE Computer Society
  • Jan Kriege:
    Fitting Simulation Input Models for Correlated Traffic Data.
    Dissertation, TU Dortmund, 2012.

 

2011

  • P. Buchholz, A. Horvath, M. Telek.
    Stochastic Petri Nets with low variation matrix exponentially distributed firing times
    Int. Journal of Performability Engineering 7 (5), 2011, pp. 441-454.
  • P. Buchholz, M. Telek
    Composition and Equivalence of Markovian and Non-Markovian Models
    In Proc. 8th Int. Conf. on Quantitative Evaluation of SysTems, (QEST'11), IEEE 2011, 213-222.
  • Jan Kriege, Peter Buchholz:
    Correlated Phase-type distributed Random Numbers as Input Models for Simulations
    Performance Evaluation, Volume 68, Issue 11, 2011.
  • Jan Kriege, Peter Buchholz:
    Simulating Stochastic Processes with OMNeT++
    Proc. of the 4th International OMNeT++ Workshop (OMNeT++ 2011), Barcelona, 2011.

 

2010

  • F. Bause, G. Horvath:
    Fitting Markovian Arrival Processes by Incorporating Correlation into Phase Type Renewal Processes
    Proc. of the 7th International Conference on Quantitative Evaluation of SysTems (QEST) 2010,Williamsburg, Virginia, USA, September 15 - 18, 2010.
  • Falko Bause, Peter Buchholz, Jan Kriege:
    ProFiDo - The Processes Fitting Toolkit Dortmund
    Proc. of the 7th International Conference on Quantitative Evaluation of SysTems (QEST) 2010, Williamsburg, Virginia, USA, September 15 - 18, 2010.
  • Falko Bause, Philipp Gerloff, Jan Kriege:
    ProFiDo - A Toolkit for Fitting Input Models
    Proc. of the 15th International GI/ITG Conference on Measurement, Modelling and Evaluation of Computing Systems and Dependability and Fault Tolerance (MMB & DFT 2010), Springer, 2010.
  • Levente Bodrog, Peter Buchholz, Jan Kriege, Miklos Telek:
    Canonical form based MAP(2) fitting
    Proc. of the 7th International Conference on Quantitative Evaluation of SysTems (QEST) 2010, Williamsburg, Virginia, USA, September 15 - 18, 2010.
  • Peter Buchholz, Peter Kemper, Jan Kriege:
    Multi Class Markovian Arrival Processes and Their Parameter Fitting
    Performance Evaluation, Volume 67, Issue 11, 2010.
  • P. Buchholz, M. Telek.
    Stochastic Petri Nets with Matrix Exponential Firing Times
    Performance Evaluation 67 (12), 2010, pp. 1373-1385.
  • Jan Kriege, Peter Buchholz:
    An Empirical Comparison of MAP Fitting Algorithms
    Proc. of the 15th International GI/ITG Conference on Measurement, Modelling and Evaluation of Computing Systems and Dependability and Fault Tolerance (MMB & DFT 2010), Springer, 2010.

2009

  • Falko Bause:
    Doubly Stochastic and Circulant Structured Markovian Arrival Processes
    Technical Reports in Computer Science, No. 824, TU Dortmund Dortmund (Germany), 2009.
  • Falko Bause, Peter Buchholz, Jan Kriege:
    A Comparison of Markovian Arrival and ARMA/ARTA Processes for the Modeling of Correlated Input Processes
    Proc. of the Winter Simulation Conference (WSC) 2009, IEEE, 2009.
  • Peter Buchholz, Jan Kriege:
    A Heuristic Approach for Fitting MAPs to Moments and Joint Moments
    Proc. of the 6th International Conference on Quantitative Evaluation of SysTems (QEST 2009), IEEE Computer Society, 2009.
  • Peter Buchholz, Jan Kriege:
    Equivalence Transformations for Acyclic Phase Type Distributions
    Technical Report 827, Dep. of Computer Science, TU Dortmund, 2009.

vor 2009

  • A. Panchenko:
    Modelling of Network Processes by Means of Markovian Arrival Processes
    Dissertation, Fakultät Informatik, TU Dresden 2007.
  • A. Panchenko, A. Thümmler:
    Efficient Phase-Type Fitting with Aggregated Traffic Traces
    Performance Evaluation, 64, 629-645, Aug. 2007.
  • A. Thümmler, P. Buchholz, M. Telek:
    A Novel Approach for fitting Probability Distributions to Trace Data with the EM Algorithm
    IEEE Trans. on Dependable and Secure Computing Vol. 3, No. 3, July-Sept. 2006, 245-258. (Pre-version in: Proc. of Int. Conf. on Dependable Systems and Networks 2005, IEEE CS Press 2005, 712-721).
  • A. Tari, M. Telek, P. Buchholz:
    A Simplified Moment-Based Estimation Method for Extreme Probabilities, Infinite and Positive Case
    Int. Journ. on Simulation, Systems and Technology, Vol. 7 (4), 2006, S. 15-28.
  • G. Horvath, P. Buchholz, M. Telek:
    A MAP Fitting Approach with Independent Approximation of the Inter-Arrival Time Distribution and the Lag-Correlation
    In: Proc. 2nd Int. Conference on Quantitative Evaluation of Systems (QEST'2005), IEEE CS Press 2005, 124-133.
  • A. Tari, P. Buchholz, M. Telek:
    A unified Approach to the Moments based Distribution Estimation - the unbounded Case
    In: Proc. 2nd European Performance Evaluation Workshop, 2005, Spinger LNCS 3670, 79-93.
  • A. Tari, M. Telek, P. Buchholz:
    A Moment Based Estimation Method for Extreme Probabilities
    In: N. Thomas (ed.), Proc. 21st UK Performance Engineering Workshop, Technical Report CS-TR-916, School of Computing Science, University of Newcastle upon Tyne, 2005, 69-81.
  • P. Buchholz, A. Panchenko:
    A Two-Step Approach for MAP Fitting
    In: C. Aykanat, T. Dayar, I. Körpeoglu (Hrsg.). Computer and Information Sciences - ISCIS 2004, Springer LNCS 3280, S. 217-227.
  • P. Buchholz, A. Panchenko:
    An EM Algorithm for Fitting of Real Traffic Traces to PH-Distributions
    In: Proc. Int. Conference on Parallel Computing in Electrical Engineering (PARELEC 2004), IEEE Press 2004, 283-288.
  • P. Buchholz:
    An EM-Algorithm for MAP Fitting from Real Traffic Data
    In: P. Kemper, W. J. Sanders (Hrsg.). Computer Performance Evaluation Modelling Techniques and Tools. Springer LNCS 2794, 2003, S. 218-236.