Exact methods for two-stage robust optimization with applications in gas networks: = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Erlangen
FAU University Press
2019
|
| Series: | FAU Studies Mathematics & Physics
Band 16 |
| Subjects: | |
| Online Access: | Volltext Volltext Volltext Volltext Inhaltsverzeichnis |
| Physical Description: | xi, 149 Seiten Illustrationen, Diagramme 24 cm x 17 cm, 414 g |
| ISBN: | 9783961472338 3961472335 9783961472345 |
| DOI: | 10.25593/978-3-96147-234-5 |
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MARC
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| 245 | 1 | 0 | |a Exact methods for two-stage robust optimization with applications in gas networks |b = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken |c Denis Aßmann |
| 246 | 1 | 1 | |a Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken |
| 264 | 1 | |a Erlangen |b FAU University Press |c 2019 | |
| 300 | |a xi, 149 Seiten |b Illustrationen, Diagramme |c 24 cm x 17 cm, 414 g | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 653 | |a Book | ||
| 653 | |a adjustable robust optimization | ||
| 653 | |a mixed-integer linear optimization | ||
| 653 | |a polynomial optimization | ||
| 653 | |a stationary and transient gas transport optimization | ||
| 653 | |a two-stage robust optimization | ||
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Record in the Search Index
| _version_ | 1804180629859860480 |
|---|---|
| adam_text | CONTENTS
1
INTRODUCTION
I
2
STATIONARY
GAS
NETWORK
OPERATIONS
5
2.1
NETWORK
COMPONENTS
..............................................................
5
2.2
GAS
TRANSPORT
WITH
LINEAR
ACTIVE
ELEMENTS
..............................
14
2.3
REDUCTION
OF
VARIABLES
..............................................................
20
2.4
EXISTENCE
AND
UNIQUENESS
OF
FLOWS
.........................................
32
2.5
SOLVING
NOMINAL
GAS
TRANSPORT
PROBLEMS
................................
40
3
ROBUST
TREATMENT
OF
GAS
TRANSPORT
45
3.1
MOTIVATION
................................................................................
46
3.2
THE
ROBUST
OPTIMIZATION
METHODOLOGY
...................................
52
3.3
A
TWO-STAGE
ROBUST
MODEL
FOR
GAS
TRANSPORT
...........................
55
3.4
LIMITS
OF
KNOWN
ROBUST
OPTIMIZATION
APPROACHES
..................
58
4
A
GENERAL
APPROACH
FOR
TWO
STAGE
ROBUST
OPTIMIZATION
WITH
AN
EMPTY
FIRST
STAGE
63
4.1
PROBLEM
SETTING
AND
THE
PROJECTION
IDEA
................................
64
4.2
INTRODUCTION
TO
POLYNOMIAL
OPTIMIZATION
..............................
67
4.3
DECIDING
ROBUST
FEASIBILITY
AND
INFEASIBILITY
FOR
THE
GENERAL
CASE
75
4.3.1
A
SET
CONTAINMENT
APPROACH
FOR
CERTIFYING
INFEASIBILITY
75
4.3.2
A
SET
CONTAINMENT
APPROACH
FOR
CERTIFYING
FEASIBILITY
.
81
4.4
DECIDING
ROBUSTNESS
FOR
THE
PASSIVE
GAS
NETWORK
PROBLEM
.
.
84
4.4.1
THE
PASSIVE
GAS
NETWORK
PROBLEM
UNDER
UNCERTAINTY
.
85
4.4.2
DECIDING
ROBUST
FEASIBILITY
ON
TREE
NETWORKS
............ 86
4.4.3
ELIMINATING
THE
ABSOLUTE
VALUE
FUNCTIONS
..................
88
4.5
NUMERICAL
EXPERIMENTS
...........................................................
94
4.5.1
EFFECTIVENESS
OF
THE
METHODS
......................................
95
4.5.2
EVALUATION
OF
THE
GAP
BETWEEN
METHODS
.....................
98
CONTENTS
5
A
REFORMULATION
APPROACH
FOR
TWO-STAGE ROBUST
OPTIMIZATION
WITH
A
NON-EMPTY
FIRST
STAGE
103
5.1
A
DECOMPOSABLE
TWO-STAGE
ROBUST
OPTIMIZATION
PROBLEM
.
.
104
5.1.1
TRANSFORMATION
TO
SINGLE-STAGE
PROBLEM
.....................
105
5.1.2
IMPROVEMENTS
BY
RELAXATION
AND
AGGREGATION
............
106
5.2
AN
APPLICATION
TO
GAS
NETWORK
OPERATIONS
..............................
107
5.2.1
THE
TWO-STAGE
ROBUST
GAS
TRANSPORT
SETTING
......
107
5.2.2
USING
PIECEWISE-LINEAR
RELAXATIONS
FOR
COMPUTING
B
VW
NO
5.2.3
PREPROCESSING
APPROACHES
..........................................
114
5.3
NUMERICAL
EXPERIMENTS
ON
REALISTIC
INSTANCES
........................
118
5.3.1
RUNNING
TIME
IMPROVEMENTS
DUE
TO
PREPROCESSING
AND
AGGREGATION
....................................................................
119
5.3.2
INFLUENCE
OF
THE
PIECEWISE-LINEAR
RELAXATION
...............
122
5.3.3
THE
NATURAL
GAS
NETWORK
OF
GREECE
..............................
124
6
DISCUSSION
AND
COMPARISON
OF
THE
PRESENTED
METHODS
129
BIBLIOGRAPHY
133
|
| any_adam_object | 1 |
| author | Aßmann, Denis |
| author_GND | (DE-588)1198415835 |
| author_facet | Aßmann, Denis |
| author_role | aut |
| author_sort | Aßmann, Denis |
| author_variant | d a da |
| building | Verbundindex |
| bvnumber | BV046224951 |
| classification_tum | ERG 370 MAT 490 |
| collection | ebook |
| ctrlnum | (OCoLC)1124470611 (DE-599)DNB1196654948 |
| discipline | Energietechnik, Energiewirtschaft Mathematik |
| doi_str_mv | 10.25593/978-3-96147-234-5 |
| format | Thesis Book |
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| indexdate | 2024-07-10T08:38:48Z |
| institution | BVB |
| institution_GND | (DE-588)1068111240 |
| isbn | 9783961472338 3961472335 9783961472345 |
| language | English |
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| physical | xi, 149 Seiten Illustrationen, Diagramme 24 cm x 17 cm, 414 g |
| psigel | ebook |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | FAU University Press |
| record_format | marc |
| series | FAU Studies Mathematics & Physics |
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| spelling | Aßmann, Denis (DE-588)1198415835 aut Exact methods for two-stage robust optimization with applications in gas networks = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken Denis Aßmann Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken Erlangen FAU University Press 2019 xi, 149 Seiten Illustrationen, Diagramme 24 cm x 17 cm, 414 g txt rdacontent n rdamedia nc rdacarrier FAU Studies Mathematics & Physics Band 16 Dissertation Friedrich-Alexander-Universität Erlangen-Nürnberg 2019 Robuste Optimierung (DE-588)7752811-6 gnd rswk-swf Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd rswk-swf Gasverteilungsnetz (DE-588)7649227-8 gnd rswk-swf Erdgastransport (DE-588)4152667-3 gnd rswk-swf Book adjustable robust optimization mixed-integer linear optimization polynomial optimization stationary and transient gas transport optimization two-stage robust optimization 1620: Hardcover, Softcover / Mathematik (DE-588)4113937-9 Hochschulschrift gnd-content Gasverteilungsnetz (DE-588)7649227-8 s Erdgastransport (DE-588)4152667-3 s Robuste Optimierung (DE-588)7752811-6 s Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 s DE-604 FAU University Press ein Imprint der Universität Erlangen-Nürnberg Universitätsbibliothek (DE-588)1068111240 pbl Erscheint auch als Online-Ausgabe 10.25593/978-3-96147-234-5 urn:nbn:de:bvb:29-opus4-122533 FAU Studies Mathematics & Physics Band 16 (DE-604)BV041186292 16 https://open.fau.de/handle/openfau/12253 Verlag kostenfrei Volltext https://doi.org/10.25593/978-3-96147-234-5 Resolving-System kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:29-opus4-122533 Resolving-System kostenfrei Volltext http://d-nb.info/1196351791/34 Langzeitarchivierung Nationalbibliothek kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031603559&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aßmann, Denis Exact methods for two-stage robust optimization with applications in gas networks = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken FAU Studies Mathematics & Physics Robuste Optimierung (DE-588)7752811-6 gnd Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd Gasverteilungsnetz (DE-588)7649227-8 gnd Erdgastransport (DE-588)4152667-3 gnd |
| subject_GND | (DE-588)7752811-6 (DE-588)4156566-6 (DE-588)7649227-8 (DE-588)4152667-3 (DE-588)4113937-9 |
| title | Exact methods for two-stage robust optimization with applications in gas networks = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken |
| title_alt | Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken |
| title_auth | Exact methods for two-stage robust optimization with applications in gas networks = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken |
| title_exact_search | Exact methods for two-stage robust optimization with applications in gas networks = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken |
| title_full | Exact methods for two-stage robust optimization with applications in gas networks = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken Denis Aßmann |
| title_fullStr | Exact methods for two-stage robust optimization with applications in gas networks = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken Denis Aßmann |
| title_full_unstemmed | Exact methods for two-stage robust optimization with applications in gas networks = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken Denis Aßmann |
| title_short | Exact methods for two-stage robust optimization with applications in gas networks |
| title_sort | exact methods for two stage robust optimization with applications in gas networks exakte verfahren fur zweistufige robuste optimierung mit anwendungen in gasnetzwerken |
| title_sub | = Exakte Verfahren für zweistufige robuste Optimierung mit Anwendungen in Gasnetzwerken |
| topic | Robuste Optimierung (DE-588)7752811-6 gnd Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd Gasverteilungsnetz (DE-588)7649227-8 gnd Erdgastransport (DE-588)4152667-3 gnd |
| topic_facet | Robuste Optimierung Gemischt-ganzzahlige Optimierung Gasverteilungsnetz Erdgastransport Hochschulschrift |
| url | https://open.fau.de/handle/openfau/12253 https://doi.org/10.25593/978-3-96147-234-5 https://nbn-resolving.org/urn:nbn:de:bvb:29-opus4-122533 http://d-nb.info/1196351791/34 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031603559&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV041186292 |
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