Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Literatur
M.A. Ajmone-Marsan, G. Balbo, G. Conté, G. Ciardo; A software tool for the automatic analysis of generalized stochastic Petri net models; in Poti84
M.A. Ajmone-Marsan, G. Balbo, G. Conte; A class of generalized stochastic Petri nets for the performance evaluation of multiprocessor systems; ACM Trans, on Comp., vol. 2, no. 5, May 1984, pp. 93–122
H.H. Ammar, S. M. R. Islam; Time Scale Decomposition of a Class of Generalized Stochastic Petri Net Models; IEEE Trans, on SE, vol. 15, no. 6, June 1989, pp. 809–820
H.H. Ammar, R. W. Liu; Analysis of the Generalized Stochastic Petri Nets by State Aggregation; Int. Workshop on Timed Petri nets, Torino Italy, 1.-3. July 1985, (ed.) M.A. Marsan, G. Balbo, K. Trivedi
M. Aoki; Control of Large-Scale Dynamic Systems by Aggregation; IEEE Trans, on Automatic Control, vol. 13, no. 3, June 1968, pp. 246–253
R. Augustin, K.J. Büscher, Characteristics of the Cox Distribution; Performance Evaluation Review, vol. 12, no. 1, 1982–83, pp. 22–32
G. Balbo, S.C. Bruell, S. Ghanta; Combining Queueing Networks and Generalized Stochastic Petri Net Models for the Analysis of some Software Blocking Phenomena; in Poti84
G. Balbo, S.C. Bruell, S. Ghanta; Combining Queueing Networks and Generalized Stochastic Petri Nets for the Solution of Complex Models of System Behavior, IEEE Trans, on Comp., vol. 37, no. 10, 1988, pp. 1251–1268
G. Balbo, S.C. Bruell; Computational Aspects of Aggregation in Multiple Class Queueing Networks; Performance Evaluation, vol. 3, no. 3, 1983, pp. 177–185
S. Balsamo, G. Iazeolla; Aggregation and Disaggregation in Queueing Networks: The Principle of Product-Form Synthesis; in IaCH84
S. Balsamo; Decomposability in General Markovian Networks; in IaCH84
S. Balsamo; Approximate Solution of Queueing Networks Based on Exact and Bounded Aggregation Technique; 12th ITC, Torino 1988, Ses. 4.1B.3
S. Balsamo, B. Pandolfi; Bounded Aggregation in Markovian Networks; in IaCB88
F. Baskett, K.M. Chandy, R.R. Müntz, G.F. Palacois; Open, closed and mixed networks of queues with different classes of customers; JACM, vol. 22, no. 2, April 1975, pp. 248–260
H. Beilner, P. Buchholz, B. Müller-Clostermann; Experimente mit Ersatzdarstellungen unter Berücksichtigung der Verweilzeitverteilung; in HePa87
H. Beilner, Workload Characterisation and Performance Modelling Tools; Int. Workshop on Workload Characterization of Computer Systems, Pavia, Italy, 23–25 Oct., 1985
H. Beilner; Structured Modelling - Heterogeneous Modelling; European Simulation Multiconference, Rome, June 1989
A. Berman, R.J. Plemmons; Nonnegative Matrices in the Mathematical Sciences; Academic Press 1979
H. Beilner, J. Mater, N. Weißenberg; Towards a Performance Modelling Environment: News on HIT; Fourth International Conference on Modelling Techniques and Tools for Computer Performance Evaluation, Palma, Sep. 1988
H. Beilner, F.J. Stewing; Concepts and Techniques of the Performance Modelling Tool, HIT; Discrete Event Simulation and Operations Research, Simulation Councils, 1987, (ed.) H.H. Adelsberger, F. Broeckx
G. Bochmann, J. Vaucher; Adding Performance Aspects to Specification Languages; Protcol Specification, Testing and Verification VIII, North Holland 1988, (ed.) S. Aggrawal, K. Sabnani
P. Buchholz; Aggregierung von Warteschlangennetzen unter Berücksichtigung der Verweüzeitverteüung; Diplomarbeit Universität Dortmund Informatik IV, 1986
P. Buchholz, H. Stahl; Construction Techniques for Aggregates; IMSE project, Report R5.4- 4, Version 1, May 1990
W.L. Cao, W.J. Stewart; Iterative Aggregation - Disaggregation Techniques for Nearly Uncoupled Markov Chains; JACM, vol. 32, no. 3, 1985, pp. 702–719
K.M. Chandy, U. Herzog, L. Woo; Parametric Analysis of Queueing Networks; IBM J. Res. and Dev., vol. 19, 1975, pp. 36–42
J.H. Chow (ed.); Time Scale Modeling of Dynamic Networks with Applications to Power Systems; Lecture Notes in Control and Inform. Sei., vol. 46, Springer 1982
K.M. Chandy, C.H. Sauer, Approximate Methods for Analyzing Queueing Network Models of Computing Systems; Computer Surveys, vol. 10, no. 3, 1978
G. Chiola; Compiling Techniques for the Analysis of Stochastic Petri Nets; Fourth International Conference on Modelling Techniques and Tools for Computer Performance Evaluation, Palma, Sep. 1988
E. Cinlar, Introduction to Stochastic Processes; Prentice Hall 1975
P.G. Coxson, K. B. Bischoff; Lumping Strategy. 1. Introductory Techniques and Applications of Cluster Analysis; Ind. Eng. Chem., vol. 26,1987, pp. 1239–1248
P.G. Coxson, K. B. Bischoff; Lumping Strategy. 2. A System Theoretic Approach; Ind. Eng. Chem., vol. 26, 1987, pp. 2151–2157
P.J. Courtois, P. Semal; Bounds for the Positive Eigenvectors of Nonnegative Matrices and for their Approximation by Decomposition; JACM, vol. 31, no. 4,1984, pp. 804–825
P.J. Courtois, P. Semal; Error Bounds for the Analysis by Decomposition of Nonnegative Matrices; in IaCH84
P.J. Courtois, P. Semal; On Polyhedra of Perron - Froebenius Eigenvectors; Linear Algebra and its Applications, vol. 65, 1985, pp. 157–170
P.J. Courtois; Decomposability, Instabilities and Saturation in Multiprogramming Systems; CACM, vol. 18, no. 7, 1975, pp. 371–376
P.J. Courtois; Decomposability: Queueing and Computer System Applications; Academic Press 1977
P.J. Courtois; Exact Aggregation in Queueing Networks; Philips Research Laboratory Report R368, Bruxelles 1978
P.J. Courtois; Error Minimization in Decomposable Stochastic Models; Applied Probability in Computer Science: The Interface, vol. 1, Birkhäuser Boston 1982, pp. 189–210
P.J. Courtois; Analysis of Large Markovian Models by Parts. Applications to Queueing Network Models; Messung, Modellierung und Bewertung von Rechensystemen, 3. GI/ITG Fachtagung, Springer 1985, (ed.) H. Beilner
D.R. Cox; A Use of Complex Probabilities in the Theory of Stochastic Processes; Proc. Cambridge Phil. Soc., vol. 51, 1951
P.G. Coxson; Lumpability and Observability of Linear Systems; Journal of Mathematical Analysis and Applications, vol. 99, no. 2,1984, pp. 435–446
P.G. Coxson; Model Reduction: Identifying Partitions for Structured Aggregates; IEEE Trans, on Automatic Control, vol. 1C-30, no. 5, May 1985, pp. 478–480
A.I. Concepcion, B.P. Zeigler; DEVS Formalism: A Framework for Hierarchical Model Development; IEEE Trans, on SE, vol. 40, no. 2, Feb. 1988, pp. 228–241
M. Davio; Kronecker Products and Shuffle Algebra; IEEE Trans, on Comp., vol. C-30, no. 2, 1981, pp. 116–125
R.L. Disney, D. König; Queueing Networks: A Survey on their Random Processes; SLAM Review, vol. 27, no. 3, 1985, pp. 335–403
K.W. Gaede; Zuverlässigkeit: Mathematische Modelle; Carl Hanser Verlag München, Wien 1977
E. Gelenbe, I. Mitrani; Analysis and Synthesis of Computer Systems; Academic Press 1980
K.J. Gordon, J.F. Kurose; An Extensible Visual Environment for Construction and Analysis of Hierarchically-Structured Models of Resource Contention Systems; IBM Res. Rep. RC 15100, Nov. 1989
M. Haviv; Aggregation/Disaggregation Methods for Computing the Stationary Distribution of a Markov Chain; SIAM Jour. Numer. Analysis, vol. 24, no. 4, Aug. 1987, pp. 952–966
U. Herzog, M. Paterok (ed.); Messung, Modellierung und Bewertung von Rechensystemen, 4. GVITG Fachtagung, Springer 1987
J.P. Hong, G. Kim; Class Dependent Queueing Disciplines with Product Form Solution; Performance 83, North Holland 1983, (ed.) A.K. Agrawalla, S.K. Tripathi
Y.C. Ho, P.Q. Ya; Equivalent Networks, Load Dependend Servers and Perturbation Analysis; Teletraffic Analysis and Computer Performance Evaluation, North Holland 1986, (ed.) O.J. Boxma, J.W. Cohen, H.C. Tijms
G. Iazeolla, P.J. Courtois, O.J. Boxma (ed.); Mathematical Computer Performance and Reliability; North Holland 1988
G. Iazeolla, P.J. Courtois, A. Hordijk (ed.); Mathematical Computer Performance and Reliability; North Holland 1984
V.B. Iversen, B.F. Nielsen; Some Properties of Coxian Distributions with Applications
Modelling Techniques and Tools for Performance Evaluation, North Holland 1986, (ed.) N. Abu El Ata
F. Kelly; Reversibility and Stochastic Networks; Wiley & Sons, 1979
J.G. Kemeny, J.L. Snell; Finite Markov Chains; Springer 1976
L. Kleinrock; Queueing Systems vol. I; Wiley & Sons, 1975
P.J. Kuehn; Analysis of busy periods and response times in queueing networks by the method of first passage times; Performance 83, North Holland 1983, (ed.) A.K. Agrawalla,S. K. Tripathi
R. Lai, U.N. Bhat; Reduced Systems in Markov Chains and their Applications in Queueing Theory; Queueing Systems 2,1987, pp. 147–172
S.S. Lavenberg, M. Reiser; Stationary State Probabilities at Arrival Instants for Closed Queueing Networks with Multiple Types of Customers; J. of Appl. Prob., vol. 17, no. 4, 1980, pp. 1048–1061
S.S. Lam, A.U. Shankar; Protocol Verification via Projections; IEEE Trans, on SE, vol. SE10, no. 4, July 1984, pp. 325–342
S.S. Lavenberg (ed.); Computer Performance Modeling Handbook; Academic Press, New York, 1983
W.A. Massey; Open Networks of Queues: Their Algebraic Structure and Estimating their Transient Behaviour, Adv. Appl. Prob. 16, 1984, pp. 176–201
B. Melamed; On Markov Jump Processes Imbedded at Jump Epochs and their Queueing Theoretic Applications; Mathematic of Operations Research, vol. 7, no. 1,1982, pp. 111–128
B. Mliller-Clostermann; Decomposition Methods in the Construction and Numerical Solution of Queueing Network Models; Performance 81, North Holland 1981, (ed.) F.J. Kylstra
B. Müller-Clostermann; Numas: A Tool for the numerical modelling of computer systems; in Poti84
B. Müller-Clostermann, G. Rosentreter; Synchronized Queueing Networks: Concepts, Examples and Evaluation Techniques; in HePa87
B. Müller-Clostermann, M. Sczittnick; A Framework for the Implementation of Generators for Stochastic Finite State Models; Universität Dortmund, Informatik IV, 1988 (internal report)
B. Müller-Clostermann, M. Sczittnick, U. Krieger; Modelling and Analysis of Modern Telecommunication Networks by Markovian Techniques: Foundations, Algorithms and an Example; Universität Dortmund Forschungsbericht Nr. 341, 1990
M.F. Neuts; Matrix-Geometric Solutions in Stochastic Models; John Hopkins University Press 1981
B. Philippe, Y. Saad, WJ. Stewart; Numerical Methods in Markov Chain Modeling; INRIA, Rapports de Recherche, No 1115, Nov. 1989
B. Plateau; On the stochastic structure of parallelism and synchronization models for distributed algorithms; ACM Sigmetrics Conference on Measurement and Modelling of Computer Systems, Austin, August 1985
B. Plateau, J.M. Fourneau, K.H. Lee; PEPS: A package for solving complex Markov models of parallel systems; Fourth International Conference on Modelling Techniques and Tools for Computer Performance Evaluation, Palma, Sep. 1988
D. Potier (ed.); Modelling techniques and tools for performance evaluation; North Holland 1984
J.R. Rohlicek, A.S. Willsky; The Reduction of Perturbed Markov Generators: An Algorithm Exposing the Role of Transient States; JACM, vol. 35, no. 3,1988, pp. 675–696
G. Rubino, B. Sericola; On weak Lumpability in Markov Chains; INRIA Rapports de Recherche, no. 787, Dec. 1987
G. Rubino, B. Sericola; Sojourn Times in Finite Markov Processes; J. of Appl. Prob., vol. 27, 1989, pp. 744–756
K.L. Sauer, K.M. Chandy; Computer Systems Performance Evaluation; Prentice Hall Engelewood Cliffs, N.J., 1981
K.L. Sauer; Computational Algorithms for State-Dependent Queueing Networks; IBM Research Report RC 8698, Feb. 1981
R. Schassberger; Warteschlangennetze; Springer 1973
R. Schassberger; An Aggregation Principle for Computing Invariant Probability Vectors in Semi Markov Models; in IaCH84
R. Schassberger; Private Diskussion
P.J. Schweitzer; Aggregation Methods for Large Markov Chains; in IaCH84
P.J. Schweitzer; Aggregative Modelling of Queueing Networks; 12th ITC, Torino 1988, Ses. 4.1B.l
M. Sczittnick, B. Miiller-Clostermann; MACOM- A Tool for the Markovian Analysis of Communication Systems; Proc. of the Fourth International Conference on Data Communication Systems and their Performance, Barcelona, June 20–221990
M. Sczittnick; Techniken zur funktionalen und quantitativen Analyse von Markovschen Rechensystem Modellen; Diplomarbeit Universitat Dortmund, Informatik IV 166
H.A. Simon, A. Ando; Aggregation of variables in dynamic systems; Econometrica, vol. 29, pp.I11–138
N.K. Sinha, B. Kuszta; Modeling and Identification of Dynamic Systems; van Norstrand 1983
K.C. Sevcik, A.I. Levy, S.K. Tripathi, J.L. Zahorjan; Improving Approximations of Aggregated Queueing Network Subsystems; Computer Performance, North Holland 1977, (ed.) K.M. Chandy, M. Reiser
W.J. Stewart; A Comparision of Numerical Techniques in Markov Modelling; CACM, vol. 21, no. 2, 1978,pp. 144–152
U. Sumita, M. Rieders; Lumpability and Time Reversibility in the AggregationDisaggregation Method for Large Markov Chains; W.E. Simon Graduate School of Business Admin., Univ. of Rochester, NY 14627, Report QM 8633
U. Sumita, M. Rieders; A new Algorithm for Computing the Ergodic Probability Vector of Large Markov Chains; W.E. Simon Graduate School of Business Admin., Univ. of Rochester, NY 14627, Report QM 88–08
U. Sumita, M. Rieders; Application of the Replacement Process Approach for Computing the Ergodic Probability Vector of Large Scale Row-Continous Markov Chains; W.E. Simon Graduate School of Business Admin., Univ. of Rochester, NY 14627, Working Paper QM 88–10
Y. Takahashi; Weak D-Markov Chain and Application to a Queueing Network; in IaCh84
H. Vantilborgh, R.L. Garner, D. Lazowska; Near Complete Decomposability of Queueing Networks with Clusters of Strongly Interacting Servers; Performance Evaluation Review, vol. 9, no. 2, 1980, pp. 81–92
H. Vantilborgh; Aggregation with an Error of 0(£2); JACM, vol. 32, no. I, 1985, pp. 162- 190
M. Veran, D. Potier; QNAP2: A Portable Environment for Queueing Systems Modelling; in Poti84
P. Whittle; Relaxed Markov Processes; Adv. Appl. Prob., vol. 15,1983, pp. 769–782
D. Wikarski; Decomposition of Stationary Continuous - Time Markov Chains - a New Approach; Elektr. Informationsver. u. Kybemetik, vol. 20, no. 7/9, 1984, pp. 355–373
J.H. Wilkinson; The Algebraic Eigenvalue Problem; Oxford University Press 1965
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Buchholz, P. (1991). Literatur. In: Die strukturierte Analyse Markovscher Modelle. Informatik-Fachberichte, vol 282. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76923-8_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-76923-8_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54540-8
Online ISBN: 978-3-642-76923-8
eBook Packages: Springer Book Archive