Behavior analysis of communication systems compositional modelling, compact representation and analysis of performability properties
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
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Shaker
2002
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| Schriftenreihe: | Berichte aus der Informatik
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Datensatz im Suchindex
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|---|---|
| adam_text |
Berichte aus der Informatik
Markus Siegle
Behaviour analysis of communication systems:
Compositional modelling, compact representation
and analysis of performability properties
D 29 (Habil -Schr University Erlangen-Nurnberg)
Shaker Verlag
Aachen 2002
Contents
1 Introduction 1
1 1 Current and future trends in communication systems 1
1 2 System design and analysis - the role of modelling and verification 2
1 3 Limiting factors of modelling 5
1 4 Overview of approaches to the state space explosion problem 6
1 5 Non-state-space-based analysis 7
151 Petri net analysis by invariants 7
152 Product form queueing networks 8
153 Non-interleaving models 8
154 Bounding techniques 9
1 6 State-space-based analysis: Largeness tolerance 9
161 Memory-efficient and parallel implementations 10
1 7 State-space-based analysis: Largeness avoidance 11
171 Decomposition 11
172 Structured representations 12
173 Constructing minimal representations 12
174 Exploitation of model symmetries 13
175 Symbolic encodings 14
1 8 Organisation of this thesis 16
1 Foundations 19
2 Preliminaries 21
2 1 Stochastic processes 22
211 Continuous time Markov chains 23
212 Transient analysis 25
213 Steady-state analysis 26
2 2 Labelled transition systems (LTS) 29
2 3 Stochastic extensions of LTS 30
231 Stochastic LTSs 30
232 Extended Stochastic LTSs ' 31
2 4 Binary Decision Diagrams (BDD) 33
vii
241 Definition 34
242 Operations on BDDs 37
Formalisms for high-level model specification 43
3 1 Stochastic graph models 44
3 2 Queueing networks 45
3 3 Stochastic Petri nets 45
3 4 Tool-specific model specification languages 46
3 5 The need for structured models 47
3 6 Stochastic automata networks 48
361 The Kronecker approach 48
3 7 Stochastic process algebras 50
371 Syntax and semantics 51
372 Bisimulation equivalences 53
373 Bisimulation in non-stochastic process algebras 57
374 Bisimulation in Markovian process algebras 61
375 Bisimulation with Markovian and immediate transitions 63
II The symbolic approach 69
4 Symbolic representation of transition systems 71
4 1 Representing LTSs with the help of BDDs 71
4 2 BDD extensions for representing real-valued functions 75
4 3 Decision Node BDDs (DNBDD) 76
431 Definition of DNBDDs 76
432 Representing SLTSs with the help of DNBDDs 81
4 4 Multi Terminal BDDs (MTBDD) 82
441 Operations on MTBDDs 85
442 Representing SLTSs with the help of MTBDDs 92
443 Representing ESLTSs with the help of MTBDDs and BDDs 93
4 5 Complexity considerations 96
5 Working with symbolic representations 99
5 1 Compositional state space construction 99
511 BDD construction 100
512 Parallel composition on BDDs 101
513 Parallel composition on DNBDDs 107
514 Parallel composition on MTBDDs 109
515 Reachability analysis I l l
5 2 Issues related to Markovian and immediate transitions 114
521 Parallel composition 114
viii
522 Symbolic hiding and elimination of compositionally vanish-
ing states 115
5 3 Symbolic bisimulation and state space minimisation 121
531 Symbolic non-stochastic bisimulation 122
532 Symbolic Markovian bisimulation 124
533 Symbolic weak Markovian bisimulation 127
534 Constructing the minimised transition system 129
535 The role of symbolic state space reduction 131
Compact encodings 133
6 1 Factors influencing the size of a BDD 134
6 2 Observations concerning the BDD size 135
621 Effect of structure and reducedness of the state space 135
622 Modelling formalisms with parallel composition operator 138
623 Compact encodings for networks of queues 140
Numerical analysis based on symbolic representations 145
7 1 Steady-state analysis based on MTBDDs 145
711 Stationary iterative methods 146
712 Projection methods 151
7 2 Transient analysis based on MTBDDs 153
7 3 Discussion of symbolic numerical analysis 154
Speeding up BDDs 157
8 1 Performance analysis of BDD algorithms 157
811 Measurement of iteration times 157
812 Profiling MTBDD and BDD applications 160
8 2 Optimised representations, algorithms and implementations 163
8 3 Specialised hardware 164
831 Design of a BDD coprocessor 164
832 Lessons learned and future research 170
III Beyond performance analysis 171
9 Verification of stochastic systems 173
9 1 From performance analysis towards the verification of performa-
bility properties 173
9 2 Model checking of stochastic systems 175
9 3 Action-based logics 176
931 Syntax and semantics of the logic aCSL 178
932 Model checking aCSL 182
933 Invariance under Markovian bisimulation 186
IX
934 Translating aCSL to CSL 187
9 4 Developing more general logics 189
9 5 Symbolic model checking 190
IV Applications 193
10 Analysing complex communication systems 195
10 1 A hospital communication system 196
10 1 1 Global structure of the HCS 196
10 1 2 Specification of components 198
10 1 3 State space construction 200
10 1 4 Performance evaluation 203
10 1 5 Verification of performability properties 206
10 2 Data networks with polling 209
10 2 1 Description of the polling system 209
10 2 2 State space construction 210
10 2 3 Performance evaluation 212
10 2 4 Verification of performability properties 213
10 3 Multiprocessor mainframe with software failures 215
10 3 1 System description 215
10 3 2 State space construction 217
10 3 3 Performance evaluation 218
10 3 4 Verification of performability properties 219
11 Discussion and conclusions 223
11 1 Future role of performance analysis and verification 223
11 2 Assessment of the BDD-based approach 223
11 3 Tools for BDD-based modelling 224
11 4 Future research 225
Bibliography 229
Index 255 |
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| discipline | Informatik |
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| spelling | Siegle, Markus 1964- Verfasser (DE-588)172896932 aut Behavior analysis of communication systems compositional modelling, compact representation and analysis of performability properties Markus Siegle Aachen Shaker 2002 X, 260 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Berichte aus der Informatik Zugl.: Erlangen, Nürnberg, Univ., Habil.-Schr., 2002 Leistungsbewertung (DE-588)4167271-9 gnd rswk-swf Kommunikationssystem (DE-588)4125542-2 gnd rswk-swf Binäres Entscheidungsdiagramm (DE-588)4530728-3 gnd rswk-swf Transitionssystem (DE-588)4329099-1 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Prozessalgebra (DE-588)4283920-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Kommunikationssystem (DE-588)4125542-2 s Transitionssystem (DE-588)4329099-1 s Prozessalgebra (DE-588)4283920-8 s Stochastischer Prozess (DE-588)4057630-9 s Binäres Entscheidungsdiagramm (DE-588)4530728-3 s Leistungsbewertung (DE-588)4167271-9 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016848832&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Siegle, Markus 1964- Behavior analysis of communication systems compositional modelling, compact representation and analysis of performability properties Leistungsbewertung (DE-588)4167271-9 gnd Kommunikationssystem (DE-588)4125542-2 gnd Binäres Entscheidungsdiagramm (DE-588)4530728-3 gnd Transitionssystem (DE-588)4329099-1 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Prozessalgebra (DE-588)4283920-8 gnd |
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| title | Behavior analysis of communication systems compositional modelling, compact representation and analysis of performability properties |
| title_auth | Behavior analysis of communication systems compositional modelling, compact representation and analysis of performability properties |
| title_exact_search | Behavior analysis of communication systems compositional modelling, compact representation and analysis of performability properties |
| title_full | Behavior analysis of communication systems compositional modelling, compact representation and analysis of performability properties Markus Siegle |
| title_fullStr | Behavior analysis of communication systems compositional modelling, compact representation and analysis of performability properties Markus Siegle |
| title_full_unstemmed | Behavior analysis of communication systems compositional modelling, compact representation and analysis of performability properties Markus Siegle |
| title_short | Behavior analysis of communication systems |
| title_sort | behavior analysis of communication systems compositional modelling compact representation and analysis of performability properties |
| title_sub | compositional modelling, compact representation and analysis of performability properties |
| topic | Leistungsbewertung (DE-588)4167271-9 gnd Kommunikationssystem (DE-588)4125542-2 gnd Binäres Entscheidungsdiagramm (DE-588)4530728-3 gnd Transitionssystem (DE-588)4329099-1 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Prozessalgebra (DE-588)4283920-8 gnd |
| topic_facet | Leistungsbewertung Kommunikationssystem Binäres Entscheidungsdiagramm Transitionssystem Stochastischer Prozess Prozessalgebra Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016848832&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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