Matrix analytic methods in stochastic models

Based on the proceedings of the first International Conference on Matrix-Analytic Methods (MAM) in Stochastic Models held recently in Flint, Michigan, this timely resource presents a general working knowledge of MAM through carefully designed tutorial articles and application papers. Written by lead...

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Veröffentlicht: New York [u.a.] Dekker 1997
Schriftenreihe:Lecture notes in pure and applied mathematics 183
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520 3 |a Based on the proceedings of the first International Conference on Matrix-Analytic Methods (MAM) in Stochastic Models held recently in Flint, Michigan, this timely resource presents a general working knowledge of MAM through carefully designed tutorial articles and application papers. Written by leading international experts representing 11 countries, Matrix-Analytic Methods in Stochastic Models furnishes previously inaccessible information on MAM studies carried out in the former Soviet Union...introduces the Markovian arrival process...discusses the fitting of distributions to observed data...shows how MAM can be used in level crossing analyses...details the applications of MAM in numerous areas, including priority queues, Markov chains on a tree structure, and parameter approximation...and much more 
520 |a Containing key bibliographic citations and over 1000 display equations, Matrix-Analytic Methods in Stochastic Models is an excellent reference for applied mathematicians, probabilists, performance analysts, applied statisticians, biostatisticians, industrial engineers, operations researchers, and graduate-level students in these disciplines 
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Datensatz im Suchindex

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adam_text Contents Preface Hi Contributors vii Committees and Sponsorship xi The Markovian Arrival Process: Some Future Directions 1 Marcel F. Neuts An Algorithm for the P{n,i) Matrices of a Continuous BMAP 7 Marcel F. Neuts and Jian Min Li A Preemptive Priority Queue with Nonrenewal Inputs 21 Fumiaki Machihara Analysis of a Multiserver Delay Loss System with a General Markovian Arrival Process 43 Valeri Naoumov, Udo R. Krieger, and Dietmar Wagner Analysis of a Finite Capacity Multiserver Model with Nonpreemptive Priorities 67 and Nonrenewal Input Dietmar Wagner Matrix Multiplicative Approach to Quasi Birth and Death Processes Analysis 87 Valeri Naoumov A Level Crossing Analysis of the MAP I Gil Queue 107 Qi Ming He and E. M. Jewkes Performance Analysis and Optimal Threshold Policies for Queueing Systems with 117 Several Heterogeneous Servers and Markov Modulated Arrivals R. K. Boel and N. K. Talat Phase Type Distributions and Related Point Processes: Fitting and Recent Advances 137 S0ren Asmussen Parameter Approximation for Phase Type Distributions 151 Andreas Lang and Jeffrey L. Arthur SPH Distributions and the Rectangle Iterative Algorithm 207 D. H. Shi, J. Guo, and L. Liu Execution Time on an Unreliable Server with Latent Breakdowns 225 Stefanka Chukova and Boyan Dimitrov V vi Contents Asymptotic Analysis of Switching Queueing Systems in Conditions of Low 241 and Heavy Loading Vladimir V. Anisimov Matrix Analytic Methods: A Tutorial Overview with Some Extensions and New Results 261 V. Ramaswami Matrix Analytic Methods for Markov Chains on a Tree Structure 297 Bhaskar Sengupta, Tetsuya Takine, and Raymond W. Yeung Renewal Theory and Queueing Algorithms for Matrix Exponential Distributions 313 S0ren Asmussen and Mogen Bladt Determination of Explicit Solutions for a General Class of Markov Processes 343 Danielle Liu and Y. Quennel Zhao Equilibrium Distributions for Level Dependent Quasi Birth and Death Processes 359 L. Bright and P. G. Taylor
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physical XI, 375 S. graph. Darst.
publishDate 1997
publishDateSearch 1997
publishDateSort 1997
publisher Dekker
record_format marc
series Lecture notes in pure and applied mathematics
series2 Lecture notes in pure and applied mathematics
spellingShingle Matrix analytic methods in stochastic models
Lecture notes in pure and applied mathematics
Markov, Processus de ram
Markov processes
Matrix analytic methods
Queuing theory
Markov-Prozess (DE-588)4134948-9 gnd
Stochastisches Modell (DE-588)4057633-4 gnd
Matrix Mathematik (DE-588)4037968-1 gnd
Matrizenrechnung (DE-588)4126963-9 gnd
subject_GND (DE-588)4134948-9
(DE-588)4057633-4
(DE-588)4037968-1
(DE-588)4126963-9
(DE-588)1071861417
title Matrix analytic methods in stochastic models
title_auth Matrix analytic methods in stochastic models
title_exact_search Matrix analytic methods in stochastic models
title_full Matrix analytic methods in stochastic models ed. by Srinivas R. Chakravarthy ...
title_fullStr Matrix analytic methods in stochastic models ed. by Srinivas R. Chakravarthy ...
title_full_unstemmed Matrix analytic methods in stochastic models ed. by Srinivas R. Chakravarthy ...
title_short Matrix analytic methods in stochastic models
title_sort matrix analytic methods in stochastic models
topic Markov, Processus de ram
Markov processes
Matrix analytic methods
Queuing theory
Markov-Prozess (DE-588)4134948-9 gnd
Stochastisches Modell (DE-588)4057633-4 gnd
Matrix Mathematik (DE-588)4037968-1 gnd
Matrizenrechnung (DE-588)4126963-9 gnd
topic_facet Markov, Processus de
Markov processes
Matrix analytic methods
Queuing theory
Markov-Prozess
Stochastisches Modell
Matrix Mathematik
Matrizenrechnung
Konferenzschrift 1996 Flint Mich.
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007521349&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV005871364
work_keys_str_mv AT chakravarthysrinivasr matrixanalyticmethodsinstochasticmodels