Input modeling with phase-type distributions and Markov models: theory and applications
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adam_text | INPUT MODELING WITH PHASE-TYPE DISTRIBUTIONS AND MARKOV MODELS
/ BUCHHOLZ, PETER
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1. INTRODUCTION
2. PHASE TYPE DISTRIBUTIONS
3. PARAMETER FITTING FOR PHASE TYPE DISTRIBUTIONS
4. MARKOVIAN ARRIVAL PROCESSES
5. PARAMETER FITTING OF MAPS
6. STOCHASTIC MODELS INCLUDING PH DISTRIBUTIONS AND MAPS
7. SOFTWARE TOOLS
8. CONCLUSION
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INPUT MODELING WITH PHASE-TYPE DISTRIBUTIONS AND MARKOV MODELS
/ BUCHHOLZ, PETER
: 2014
ABSTRACT / INHALTSTEXT
CONTAINING A SUMMARY OF SEVERAL RECENT RESULTS ON MARKOV-BASED INPUT
MODELING IN A COHERENT NOTATION, THIS BOOK INTRODUCES AND COMPARES
ALGORITHMS FOR PARAMETER FITTING AND GIVES AN OVERVIEW OF AVAILABLE
SOFTWARE TOOLS IN THE AREA. DUE TO PROGRESS MADE IN RECENT YEARS WITH
RESPECT TO NEW ALGORITHMS TO GENERATE PH DISTRIBUTIONS AND MARKOVIAN
ARRIVAL PROCESSES FROM MEASURED DATA, THE MODELS OUTLINED ARE USEFUL
ALTERNATIVES TO OTHER DISTRIBUTIONS OR STOCHASTIC PROCESSES USED FOR
INPUT MODELING. GRADUATE STUDENTS AND RESEARCHERS IN APPLIED
PROBABILITY, OPERATIONS RESEARCH AND COMPUTER SCIENCE ALONG WITH
PRACTITIONERS USING SIMULATION OR ANALYTICAL MODELS FOR PERFORMANCE
ANALYSIS AND CAPACITY PLANNING WILL FIND THE UNIFIED NOTATION AND
UP-TO-DATE RESULTS PRESENTED USEFUL. INPUT MODELING IS THE KEY STEP IN
MODEL BASED SYSTEM ANALYSIS TO ADEQUATELY DESCRIBE THE LOAD OF A SYSTEM
USING STOCHASTIC MODELS. THE GOAL OF INPUT MODELING IS TO FIND A
STOCHASTIC MODEL TO DESCRIBE A SEQUENCE OFMEASUREMENTS FROM A REAL
SYSTEM TO MODEL FOR EXAMPLE THE INTER-ARRIVAL TIMES OF PACKETS IN A
COMPUTER NETWORK OR FAILURE TIMES OF COMPONENTS IN A MANUFACTURING
PLANT. TYPICAL APPLICATION AREAS ARE PERFORMANCE AND DEPENDABILITY
ANALYSIS OF COMPUTER SYSTEMS, COMMUNICATION NETWORKS, LOGISTICS OR
MANUFACTURING SYSTEMS BUT ALSO THE ANALYSIS OF BIOLOGICAL OR CHEMICAL
REACTION NETWORKS AND SIMILAR PROBLEMS. OFTEN THE MEASURED VALUES HAVE A
HIGH VARIABILITY AND ARE CORRELATED. IT’S BEEN KNOWN FOR A LONG TIME
THAT MARKOV BASED MODELS LIKE PHASE TYPE DISTRIBUTIONS OR MARKOVIAN
ARRIVAL PROCESSES ARE VERY GENERAL AND ALLOW ONE TO CAPTURE EVEN COMPLEX
BEHAVIORS. HOWEVER, THE PARAMETERIZATION OF THESE MODELS RESULTS OFTEN
IN A COMPLEX AND NON-LINEAR OPTIMIZATION PROBLEM. ONLY RECENTLY, SEVERAL
NEW RESULTS ABOUT THE MODELING CAPABILITIES OF MARKOV BASED MODELS AND
ALGORITHMS TO FIT THE PARAMETERS OF THOSE MODELS HAVE BEEN PUBLISHED
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Buchholz, Peter 1961- Kriege, Jan Dohndorf, Iryna 1983- |
author_GND | (DE-588)13555327X (DE-588)173940145 (DE-588)141488301 |
author_facet | Buchholz, Peter 1961- Kriege, Jan Dohndorf, Iryna 1983- |
author_role | aut aut aut |
author_sort | Buchholz, Peter 1961- |
author_variant | p b pb j k jk i d id |
building | Verbundindex |
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dewey-full | 510 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510 |
dewey-search | 510 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-319-06674-5 |
format | Electronic eBook |
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spellingShingle | Buchholz, Peter 1961- Kriege, Jan Dohndorf, Iryna 1983- Input modeling with phase-type distributions and Markov models theory and applications |
title | Input modeling with phase-type distributions and Markov models theory and applications |
title_auth | Input modeling with phase-type distributions and Markov models theory and applications |
title_exact_search | Input modeling with phase-type distributions and Markov models theory and applications |
title_full | Input modeling with phase-type distributions and Markov models theory and applications Peter Buchholz ; Jan Kriege ; Iryna Felko |
title_fullStr | Input modeling with phase-type distributions and Markov models theory and applications Peter Buchholz ; Jan Kriege ; Iryna Felko |
title_full_unstemmed | Input modeling with phase-type distributions and Markov models theory and applications Peter Buchholz ; Jan Kriege ; Iryna Felko |
title_short | Input modeling with phase-type distributions and Markov models |
title_sort | input modeling with phase type distributions and markov models theory and applications |
title_sub | theory and applications |
url | https://doi.org/10.1007/978-3-319-06674-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027366292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027366292&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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