Performance analysis of closed queueing networks:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
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| Schriftenreihe: | Lecture Notes in Economics and Mathematical Systems
663 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XXIII, 169 S. Ill., graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783642322136 3642322131 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 MOTIVATION 1
1.2 STRUCTURE 2
2 CLOSED QUEUEING NETWORKS 5
2.1 ASSUMPTIONS 5
2.2 CHARACTERISTICS 9
3 LITERATURE REVIEW 15
3.1 RELEVANT THEOREMS 17
3.2 EXACT METHODS 19
3.2.1 PRODUCT-FORM NETWORKS 19
3.2.2 NON-PRODUCT-FORM NETWORKS 24
3.3 APPROXIMATE METHODS 2 6
3.3.1 EXPONENTIAL DISTRIBUTION AND INFINITE BUFFER CAPACITY 2 6
3.3.2 EXPONENTIAL DISTRIBUTION AND FINITE BUFFER CAPACITY 28
3.3.3 GENERAL DISTRIBUTION AND INFINITE BUFFER CAPACITY 33
3.3.4 GENERAL DISTRIBUTION AND FINITE BUFFER CAPACITY 42
4 DECOMPOSITION APPROACH 45
4.1 ALGORITHM 45
4.1.1 OUTER LOOP 47
4.1.2 INNER LOOP 50
4.2 NUMERICAL STUDY 56
5 MARKOV-CHAIN APPROACH 61
5.1 OVERVIEW O F THE MARKOV-CHAIN APPROACH 61
5.2 PHASE-TYPE DISTRIBUTIONS 64
5.2.1 SELECTION O F PHASE-TYPE DISTRIBUTIONS 65
5.2.2 TWO-MOMENT PARAMETER FIT O F SELECTED PHASE-TYPE DISTRIBUTIONS 67
VII
HTTP://D-NB.INFO/1023815753
IMAGE 2
VIII C O N T E N T S
5.3 MODELING 71
5.3.1 PHASE-TYPE AND ORIGINAL REPRESENTATION 71
5.3.2 MARKOV-CHAIN ODELS O F CQN 73
5.4 STATE SPACE 79
5.4.1 GENERATION O F WORKPIECE ALLOCATIONS 82
5.4.2 GENERATION O F PHASES 86
5.4.3 GENERATION O F BLOCKING STATUSES 89
5.5 TRANSITION RATES 91
5.5.1 DERIVATION O F THE GLOBAL BALANCE EQUATIONS 91
5.5.2 CONSTRUCTION O F THE TRANSITION RATE MATRIX I L L
5.6 SOLUTION O F THE LINEAR SYSTEM O F EQUATIONS 116
5.6.1 GMRES 116
5.6.2 EXAMPLES 118
5.7 PERFORMANCE MEASURES 120
5.7.1 AGGREGATION O F THE MARKOV-CHAIN STEADY-STATE PROBABILITIES 120
5.7.2 CALCULATION O F THE PERFORMANCE MEASURES 121
5.7.3 EXAMPLES 123
5.8 RUNTIME PERFORMANCE AND NUMERICAL RESULTS." 124
6 DISTRIBUTION O F THE TIME BETWEEN PROCESSING STARTS 131
6.1 MOTIVATION 132
6.2 STRUCTURE 133
6.3 ASSIGNMENT O F THE MARKOV-CHAIN STATES TO SUBSETS 135
6.4 COMPONENTS O F THE DISTRIBUTION 137
6.4.1 PROBABILITIES O F TRANSITION INTO NON-ACTIVE STATES 137
6.4.2 TIME SPENT IN A NON-ACTIVE STATE 140
6.4.3 TRANSITION PROBABILITIES BETWEEN NON-ACTIVE STATES 142
6.5 DETERMINATION OF THE DISTRIBUTION 142
6.5.1 GENERAL PHASE-TYPE DISTRIBUTION 143
6.5.2 TRANSITION RATE MATRIX O F THE TBPS, -DISTRIBUTION 144
6.6 EXAMPLES 147
6.6.1 EXPONENTIAL DISTRIBUTION 147
6.6.2 COX-2 DISTRIBUTION 150
6.7 NUMERICAL STUDY O F THE PARAMETER INFLUENCES ON C V 2 ( T B P S J )
151 6.7.1 INFLUENCE O F THE PROCESSING RATE 152
6.7.2 INFLUENCE OF C 2 153
6.7.3 INFLUENCE OF THE BUFFER CAPACITY 157
7 CONCLUSION 159
BIBLIOGRAPHY 161
INDEX 169 |
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| author | Lagershausen, Svenja |
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| ctrlnum | (OCoLC)854324045 (DE-599)DNB1023815753 |
| dewey-full | 658.788 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 658 - General management |
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| dewey-search | 658.788 |
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| dewey-tens | 650 - Management and auxiliary services |
| discipline | Wirtschaftswissenschaften |
| format | Thesis Book |
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| spelling | Lagershausen, Svenja Verfasser aut Performance analysis of closed queueing networks Svenja Lagershausen Berlin [u.a.] Springer 2013 XXIII, 169 S. Ill., graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture Notes in Economics and Mathematical Systems 663 Zugl.: Köln, Univ., Diss., 2012 Warteschlangentheorie (DE-588)4255044-0 gnd rswk-swf Markov-Kette (DE-588)4037612-6 gnd rswk-swf Innerbetrieblicher Transport (DE-588)4161794-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Innerbetrieblicher Transport (DE-588)4161794-0 s Warteschlangentheorie (DE-588)4255044-0 s Markov-Kette (DE-588)4037612-6 s DE-604 Lecture Notes in Economics and Mathematical Systems 663 (DE-604)BV000000036 663 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4068574&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025402882&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lagershausen, Svenja Performance analysis of closed queueing networks Lecture Notes in Economics and Mathematical Systems Warteschlangentheorie (DE-588)4255044-0 gnd Markov-Kette (DE-588)4037612-6 gnd Innerbetrieblicher Transport (DE-588)4161794-0 gnd |
| subject_GND | (DE-588)4255044-0 (DE-588)4037612-6 (DE-588)4161794-0 (DE-588)4113937-9 |
| title | Performance analysis of closed queueing networks |
| title_auth | Performance analysis of closed queueing networks |
| title_exact_search | Performance analysis of closed queueing networks |
| title_full | Performance analysis of closed queueing networks Svenja Lagershausen |
| title_fullStr | Performance analysis of closed queueing networks Svenja Lagershausen |
| title_full_unstemmed | Performance analysis of closed queueing networks Svenja Lagershausen |
| title_short | Performance analysis of closed queueing networks |
| title_sort | performance analysis of closed queueing networks |
| topic | Warteschlangentheorie (DE-588)4255044-0 gnd Markov-Kette (DE-588)4037612-6 gnd Innerbetrieblicher Transport (DE-588)4161794-0 gnd |
| topic_facet | Warteschlangentheorie Markov-Kette Innerbetrieblicher Transport Hochschulschrift |
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