Quantitative methods in parallel systems:
Saved in:
| Format: | Book |
|---|---|
| Language: | German |
| Published: |
Berlin u.a.
Springer
1995
|
| Series: | ESPRIT basic research series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XX, 298 S. graph. Darst. |
| ISBN: | 3540601252 |
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MARC
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| 084 | |a ST 200 |0 (DE-625)143611: |2 rvk | ||
| 245 | 1 | 0 | |a Quantitative methods in parallel systems |c F. Baccelli ... (eds.) |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1995 | |
| 300 | |a XX, 298 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a ESPRIT basic research series | |
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Electronic data processing |x Distributed processing | |
| 650 | 4 | |a Parallel processing (Electronic computers) | |
| 650 | 0 | 7 | |a Paralleler Prozess |0 (DE-588)4224684-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Baccelli, François |e Sonstige |4 oth | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006876666 | |
Record in the Search Index
| _version_ | 1807323856461889536 |
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| adam_text |
TABLE
OF
CONTENTS
PREFACE
FRANCOIS
BACCELLI,
ALAIN
JEAN-MARIE,
AND
ISI
MITRANI
.
V
PART
I.
FORMALISMS
STOCHASTIC
PROCESS
ALGEBRAS
N.
GOTZ,
H.
HERMANNS,
U.
HERZOG,
V.
MERTSIOTAKIS
AND
M.
RETTELBACH
.
3
1.
INTRODUCTION.
THE
INDIVISIBILITY
OF
FUNCTIONAL
AND
TEMPORAL
BEHAVIOUR
3
2.
THE
ROOTS
OF
STOCHASTIC
PROCESS
ALGEBRA
.
5
3.
THE
STOCHASTIC
PROCESS
ALGEBRA
TIPP
.
6
3.1
SYNTAX
.
7
3.2
SEMANTICS
.
'.
.
7
3.3
EQUIVALENCES
.
8
3.4
AXIOMATISATION
.
9
4.
EXAMPLE.
A
MULTIPROCESSOR
WITH
MMPP
ARRIVAL
STREAM
.
9
4.1
LOAD
MODELLING
.
10
4.2
THE
MACHINE
MODEL
.
10
4.3
MODEL
SIMPLIFICATION
.
11
4.4
NUMERICAL
RESULTS
.
12
5.
CASE
STUDIES
.
12
6.
TOOL
SUPPORT
.
13
7.
RECENT
EXTENSIONS
.
14
8.
SUMMARY
AND
OUTLOOK
.
15
STOCHASTIC
PROCESS
ALGEBRA
FOR
DISCRETE
EVENT
SIMULATION
P.G.
HARRISON
AND
B.
STRULO
.
18
1.
INTRODUCTION
.
18
2.
LANGUAGE
.
19
3.
SEMANTICS
.
21
4.
STRONG
BISIMULATION
.
25
5.
WEAK
BISIMULATION
.
30
6.
EXAMPLES
AND
SPECULATIONS
.
32
6.1
GENERALISED
SEMI-MARKOV
PROCESSES
(GSMP)
.
32
X
TABLE
OF
CONTENTS
6.2
TWO
PROCESSOR
QUEUE
.
33
6.3
EQUIVALENCE
.
34
7.
CONCLUSIONS
.
35
GSPN
AND
SPA
COMPARED
IN
PRACTICE
S.
DONATELLI,
H.
HERMANNS,
J.
HILLSTON,
AND
M.
RIBAUDO
.
38
1.
INTRODUCTION
.
38
2.
COMPARISON
BETWEEN
GSPN
AND
SPA
.
39
2.1
NOTATIONAL
LEVEL
.
39
2.2
STATE
VERSUS
ACTION
.
39
2.3
COMPOSITIONALITY
AND
EQUIVALENCES
.
39
2.4
ABSTRACTION
MECHANISM
.
39
2.5
ANALYSIS
TECHNIQUES
.
40
2.6
TOOL
SUPPORT
.
41
2.7
TRANSLATION
FROM
SPA
TO
GSPN
.
41
3.
A
DISTRIBUTED
ELECTRONIC
MAIL
SYSTEM
.
42
4.
MODELLING
THE
SYSTEM
.
43
4.1
GSPN
MODEL
.
43
4.2
SPA
SPECIFICATION
.
45
5.
COMPARING
THE
DEVELOPED
MODELS
.
47
6.
TRANSFORMING
SPA
TO
GSPN
.
47
7.
CONCLUSION
.
49
FUNCTIONAL
AND
PERFORMANCE
ANALYSIS
OF
COOPERATING
SEQUENTIAL
PROCESSES
E.
TERUEL,
M.
SILVA,
J.M.
COLOM
AND
J.
CAMPOS
.
52
1.
INTRODUCTION
.
52
2.
DETERMINISTIC
SYSTEMS
OF
SEQUENTIAL
PROCESSES
.
53
2.1
BASIC
DEFINITIONS
AND
NOTATIONS
OF
PETRI
NETS
.
53
2.2
DETERMINISTIC
SYSTEMS
OF
SEQUENTIAL
PROCESSES,
AND
OTHER
SUBCLASSES
.
54
2.3
TIME
REPRESENTATION
.
57
3.
FUNCTIONAL
ANALYSIS
OF
DSSP
'
S
.
58
3.1
THE
COARSE
NET
OF
A
DSSP
.
58
3.2
WELL-FORMEDNESS
AND
LIVENESS
.
59
4.
PERFORMANCE
ANALYSIS
OF
DSSP
'
S
.
61
4.1
HOME
STATES
AND
ERGODICITY
.
61
4.2
COMPUTATION
OF
VISIT
RATIOS
.
61
4.3
PERFORMANCE
BOUNDS
.
62
TABLE
OF
CONTENTS
XI
PART
II.
TECHNIQUES
ANALYSIS
OF
PARALLEL
PROCESSING
SYSTEMS
VIA
THE
(MAX,+)
ALGEBRA
F.
BACCELLI,
B.
GAUJAL,
A.
JEAN-MARIE,
AND
J.
MAIRESSE
.
69
1.
INTRODUCTION
.
69
2.
THE
BASIC
PROBLEM
.
69
3.
MODELING
VIA
(MAX,
+)-LINEAR
RECURRENCE
EQUATIONS
.
72
3.1
ALGEBRAIC
FRAMEWORK
.
72
3.2
RECURRENCE
EQUATIONS
.
72
3.3
VARIATIONS
.
75
3.4
CANONICAL
RECURRENCE
EQUATIONS
.
75
3.5
RESPONSE
TIMES
.
77
4.
STABILITY
.
78
4.1
FIRST
ORDER
LIMITS
.
78
4.2
SECOND
ORDER
LIMITS
.
79
4.3
MULTIPLE
STATIONARY
REGIMES
FOR
CLOSED
SYSTEMS
.
81
5.
ANALYTICAL
RESULTS
.
83
5.1
MARKOVIAN
ANALYSIS
.
84
5.2
TAYLOR
EXPANSIONS
FOR
THE
M/G
CASE
.
86
5.3
TRANSIENT
AND
STATIONARY
DISTRIBUTIONS
FOR
THE
M/D
CASE
.
88
6.
PARALLEL
SIMULATION
ISSUES
.
91
6.1
PARALLEL
SIMULATION
ALGORITHMS
.
92
6.2
MINIMAL
STANDARD
REPRESENTATIONS
.
93
TIPP
AND
THE
SPECTRAL
EXPANSION
METHOD
I.
MITRANI,
A.
OST,
AND
M.
RETTELBACH
.
99
1.
INTRODUCTION
.
99
2.
THE
SPECTRAL
EXPANSION
SOLUTION
METHOD
.
100
3.
SE-TIPP
.
103
3.1
SYNTAX
.
103
3.2
SEMANTIC
MODEL
.
104
3.3
CONSTRUCTION
SCHEMA
.
106
4.
APPLICATION
EXAMPLE
.
109
4.1
SYSTEM
DESCRIPTION
.
109
4.2
SYSTEM
SEMANTICS
.
110
4.3
SYSTEM
EVALUATION
.
110
5.
CONCLUSION
.
ILL
XII
TABLE
OF
CONTENTS
G-NETWORKS:
A
SURVEY
OF
RESULTS,
A
SOLVER
AND
AN
APPLICATION
S.
CHABRIDON,
E.
GELENBE,
M.
HERNANDEZ,
AND
A.
LABED
.
114
1.
INTRODUCTION
.
114
2.
G-NETWORKS
WITH
POSITIVE
AND
NEGATIVE
CUSTOMERS
.
116
3.
G-NETWORKS
WITH
SIGNALS
.
117
4.
G-NETWORKS
WITH
SIGNALS
AND
BATCH
REMOVALS
.
118
5.
THE
SOLVER
TOOL
.
119
6.
AN
EXAMPLE:
PERFORMANCE
EVALUATION
OF
RECEIVER
INITIATED
LOAD
BAL
ANCING
.
122
7.
CONCLUSIONS
.
124
POLLING
MODELS
WITH
THRESHOLD
SWITCHING
O.J.
BOXMA,
G.M.
KOOLE,
AND
I.
MITRANI
.
129
1.
INTRODUCTION
.
129
2.
ANALYTIC
SOLUTION
FOR
THE
PREEMPTIVE
MODEL
.
131
3.
ANALYTIC
SOLUTION
FOR
THE
NON-PREEMPTIVE
MODEL
.
134
4.
POWER
SERIES
ALGORITHM
.
137
TWO-DIMENSIONAL
NEAREST-NEIGHBOUR
QUEUEING
MODELS
J.W.
COHEN
.
141
1.
A
REVIEW
.
141
2.
THE
SYMMETRICAL
SHORTEST
QUEUEING
MODEL
.
143
M/G/L
QUEUES
WITH
FCFS
NEGATIVE
ARRIVALS
P.G.
HARRISON
AND
E.
PITEL
.
153
1.
INTRODUCTION
.
153
2.
DERIVATION
OF
EQUATIONS
DEFINING
THE
GENERATING
FUNCTION
.
154
3.
AN
ITERATIVE
ALGORITHM
.
158
4.
CONCLUSION
.
159
OPERATIONAL
ANALYSIS
OF
TIMED
PETRI
NETS
AND
APPLICATION
TO
THE
COMPUTATION
OF
PERFORMANCE
BOUNDS
G.
CHIOLA,
C.
ANGLANO,
J.
CAMPOS,
J.
M.
COLOM,
AND
M.
SILVA
.
161
1.
INTRODUCTION
.
161
2.
OBSERVABLE
QUANTITIES
AND
OPERATIONAL
LAWS
.
162
2.1
BASIC
OPERATIONAL
QUANTITIES
.
163
2.2
CONFLICT-FREE
NETS
.
164
2.3
GENERAL
NETS
WITH
CONFLICTS
.
165
3.
PERFORMANCE
BOUNDS
BASED
ON
OPERATIONAL
LAWS
.
167
3.1
EXTENSION
TO
TWN
'
S
.
168
3.2
LPP
FORMULATION
.
169
4.
AN
EXAMPLE
OF
APPLICATION
.
171
TABLE
OF
CONTENTS
XIII
5.
CONCLUSIONS
.
173
APPROXIMATE
THROUGHPUT
COMPUTATION
OF
STOCHASTIC
MARKED
GRAPHS
J.
CAMPOS,
J.M.
COLOM,
H.
JUNGNITZ,
AND
M.
SILVA
.
175
1.
INTRODUCTION
.
175
2.
BASICS
ON
STOCHASTIC
MARKED
GRAPHS
.
177
2.1
BASIC
NOTATIONS
.
177
2.2
IMPLICIT
PLACES
AND
MG
'
S
.
178
3.
STRUCTURAL
DECOMPOSITION
OF
MG
'
S
.
180
4.
APPROXIMATE
THROUGHPUT
COMPUTATION
.
182
4.1
FIRST
APPROACH:
PING-PONG
ALGORITHM
.
183
4.2
A
SOLUTION:
PELOTA
1
ALGORITHM
.
184
5.
CONCLUSIONS
.
186
PART
III.
APPLICATIONS
ALLOCATION
OF
CUSTOMER
TYPES
TO
SERVERS:
CLUSTERING
IS
OPTIMAL
S.C.
BORST
.
191
1.
INTRODUCTION
.
191
2.
MODEL
DESCRIPTION
.
193
3.
FINDING
AN
OPTIMAL
ALLOCATION
.
194
4.
THE
CASE
OF
ORDERED
CUSTOMER
TYPES
.
198
5.
CONCLUDING
REMARKS
AND
SUGGESTIONS
FOR
FURTHER
RESEARCH
.
201
A.
PROOF
OF
LEMMA
3.1
.
202
B.
PROOF
OF
LEMMA
3.2
.
204
C.
PROOF
OF
LEMMA
3.3
.
204
D.
PROOF
OF
LEMMA
3.4
.
205
MAJORIZATION
AND
STOCHASTIC
COMPARISON
TECHNIQUES
FOR
SCHEDULING
OF
PARALLEL
SYSTEMS
Z.
LIU
.
206
1.
INTRODUCTION
.
206
2.
MAJORIZATION
AND
STOCHASTIC
ORDERS
.
207
2.1
COMPARISON
OF
REAL
VECTORS
.
207
2.2
COMPARISON
OF
RANDOM
VECTORS
.
208
2.3
RELATIONS
BETWEEN
MAJORIZATION
AND
STOCHASTIC
ORDERINGS
.
209
2.4
OTHER
STOCHASTIC
ORDERINGS
.
210
3.
SCHEDULING
OF
MONOPROGRAMMED
SYSTEMS
.
210
XIV
TABLE
OF
CONTENTS
3.1
INTRODUCTION
AND
NOTATION
.
210
3.2
PREVIOUS
RESULTS
.
211
3.3
FOREST-CUT
GRAPHS
.
212
3.4
STOCHASTIC
MINIMIZATION
OF
MAKESPAN
.
214
4.
SCHEDULING
OF
MULTIPROGRAMMED
SYSTEMS
.
215
4.1
INTRODUCTION
.
215
4.2
PROBLEM
DESCRIPTION
.
216
4.3
EXTREMAL
POLICIES
.
217
5.
CONCLUDING
REMARKS
.
218
DEPENDABILITY
OF
DISTRIBUTED
PROGRAMS:
ALGORITHMS
AND
PERFORMANCE
S.
CHABRIDON
AND
E.
GELENBE
.
220
1.
INTRODUCTION
.
220
2.
DETECTION
AND
RECOVERY
ALGORITHMS
.
222
3.
APPROXIMATE
ANALYSIS
AND
SIMULATIONS
.
224
3.1
APPROXIMATE
ANALYTICAL
RESULTS
.
225
3.2
COMPARING
DETECTION
ALGORITHMS
.
227
4.
AN
EXAMPLE:
A
TASK-GRAPH
FOR
MATRIX
MULTIPLICATION
.
229
5.
AN
EXAMPLE:
DEPENDABLE
EXECUTION
OF
THE
PARALLEL
FFT
ALGORITHM
230
5.1
DETAILED
ALGORITHMICS
OF
FAILURE
DETECTION
AND
RECOVERY
.
231
5.2
SIMULATIONS
FOR
THE
DEPENDABLE
PARALLEL
FFT
ALGORITHM
.
233
A
FIXED-POINT
MODEL
OF
A
DISTRIBUTED
MEMORY
CONSISTENCY
PROTOCOL
A.
J.
FIELD
AND
P.G.
HARRISON
.
237
1.
INTRODUCTION
.
237
1.1
WORKLOAD
ASSUMPTIONS
.
237
2.
A
NEW
MODEL
FOR
SCI
.
238
2.1
ACTIONS
GENERATED
BY
A
PROCESSOR
.
239
2.2
THE
ANALYTICAL
MODEL
.
239
2.3
MEAN
TRANSMISSION
TIME
.
244
2.4
CACHE/MEMORY
ACCESS
DELAY
.
244
3.
RESULTS
AND
VALIDATION
.
247
ROUTING
AMONG
DIFFERENT
NODES
WHERE
SERVERS
BREAK
DOWN
WITHOUT
LOSING
JOBS
N.
THOMAS
AND
I.
MITRANI
.
248
1.
INTRODUCTION
.
248
2.
THE
MODEL
.
249
3.
QUEUE
SIZE
DISTRIBUTIONS
.
251
4.
EVALUATION
OF
SCHEDULING
STRATEGIES
.
254
5.
GENERALIZATIONS
.
257
TABLE
OF
CONTENTS
XV
6.
JOINT
DISTRIBUTION
FOR
N
=
2
.
258
7.
CONCLUSIONS
.
260
MODELING
SYMMETRIC
COMPUTER
ARCHITECTURES
BY
SWNS
G.
CHIOLA,
G.
FRANCESCHINIS,
AND
R.
GAETA
.
262
1.
INTRODUCTION
.
262
2.
MULTILEVEL
FAT
TREES
.
263
3.
MULTIDIMENSIONAL
MESH
INTERCONNECTION
.
270
4.
CONCLUSIONS
.
274
ARRIVAL
THEOREMS
FOR
PRODUCT-FORM
STOCHASTIC
PETRI
NETS
G.
BALBO,
S.C.
BRUELL,
AND
M.
SERENO
.
276
1.
INTRODUCTION
.
276
2.
PRODUCT-FORM
STOCHASTIC
PETRI
NETS:
BASIC
DEFINITIONS
.
277
2.1
DEFINITION
OF
STOCHASTIC
PETRI
NETS
.
277
2.2
DEFINITION
OF
PRODUCT-FORM
STOCHASTIC
PETRI
NETS
.
279
3.
ARRIVAL
THEOREMS
FOR
PF-SPNS
.
280
3.1
WHAT
IS
AN
INTERMEDIATE
MARKING
.
280
3.2
EXAMPLE:
ILLUSTRATION
OF
INTERMEDIATE
MARKINGS
.
280
3.3
GLOBAL
ARRIVAL
THEOREM
BY
TRANSITION
FOR
A
PF-SPN
.
281
3.4
EXAMPLE:
ILLUSTRATION
OF
THEOREM
.
282
3.5
THE
NOTION
OF
DIRECTION
.
284
3.6
LOCAL
ARRIVAL
THEOREMS
.
285
4.
MEAN
SOJOURN
TIME
.
287
5.
CONCLUSION
.
288
BIBLIOGRAPHY
.
291 |
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| classification_rvk | ST 151 ST 200 |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik |
| format | Book |
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| genre | (DE-588)4143413-4 Aufsatzsammlung gnd-content |
| genre_facet | Aufsatzsammlung |
| id | DE-604.BV010332073 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T01:19:01Z |
| institution | BVB |
| isbn | 3540601252 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006876666 |
| oclc_num | 33008875 |
| open_access_boolean | |
| owner | DE-29T DE-384 DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 |
| owner_facet | DE-29T DE-384 DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 |
| physical | XX, 298 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer |
| record_format | marc |
| series2 | ESPRIT basic research series |
| spelling | Quantitative methods in parallel systems F. Baccelli ... (eds.) Berlin u.a. Springer 1995 XX, 298 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier ESPRIT basic research series Literaturangaben Datenverarbeitung Electronic data processing Distributed processing Parallel processing (Electronic computers) Paralleler Prozess (DE-588)4224684-2 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Paralleler Prozess (DE-588)4224684-2 s DE-604 Baccelli, François Sonstige oth DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006876666&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Quantitative methods in parallel systems Datenverarbeitung Electronic data processing Distributed processing Parallel processing (Electronic computers) Paralleler Prozess (DE-588)4224684-2 gnd |
| subject_GND | (DE-588)4224684-2 (DE-588)4143413-4 |
| title | Quantitative methods in parallel systems |
| title_auth | Quantitative methods in parallel systems |
| title_exact_search | Quantitative methods in parallel systems |
| title_full | Quantitative methods in parallel systems F. Baccelli ... (eds.) |
| title_fullStr | Quantitative methods in parallel systems F. Baccelli ... (eds.) |
| title_full_unstemmed | Quantitative methods in parallel systems F. Baccelli ... (eds.) |
| title_short | Quantitative methods in parallel systems |
| title_sort | quantitative methods in parallel systems |
| topic | Datenverarbeitung Electronic data processing Distributed processing Parallel processing (Electronic computers) Paralleler Prozess (DE-588)4224684-2 gnd |
| topic_facet | Datenverarbeitung Electronic data processing Distributed processing Parallel processing (Electronic computers) Paralleler Prozess Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006876666&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT baccellifrancois quantitativemethodsinparallelsystems |