Incorporating differential equations into mixed-integer programming for gas transport optimization:
Gespeichert in:
1. Verfasser: | |
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Format: | Abschlussarbeit Buch |
Sprache: | English |
Veröffentlicht: |
Erlangen
FAU University Press
2018
|
Schriftenreihe: | FAU studies mathematics & physics
Band 13 |
Schlagworte: | |
Online-Zugang: | kostenfrei kostenfrei kostenfrei kostenfrei Inhaltsverzeichnis |
Beschreibung: | 148 Seiten Diagramme, Karten 24 cm, 388 g |
ISBN: | 9783961471133 3961471134 |
DOI: | 10.25593/978-3-96147-114-0 |
Internformat
MARC
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100 | 1 | |a Sirvent, Mathias |e Verfasser |4 aut | |
245 | 1 | 0 | |a Incorporating differential equations into mixed-integer programming for gas transport optimization |c Mathias Sirvent |
264 | 1 | |a Erlangen |b FAU University Press |c 2018 | |
300 | |a 148 Seiten |b Diagramme, Karten |c 24 cm, 388 g | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a FAU studies mathematics & physics |v Band 13 | |
502 | |b Dissertation |c Friedrich-Alexander-Universität Erlangen-Nürnberg |d 2018 | ||
650 | 0 | 7 | |a Gastransport |g Gasversorgung |0 (DE-588)4500861-9 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Gemischt-ganzzahlige Optimierung |0 (DE-588)4156566-6 |2 gnd |9 rswk-swf |
653 | |a Dekomposition | ||
653 | |a Gastransportoptimierung | ||
653 | |a Gemischt-ganzzahlige Optimierung | ||
653 | |a Konvexe Optimierung | ||
653 | |a Nichtkonvexe Optimierung | ||
653 | |a Nichtlineare Optimierung | ||
655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
689 | 0 | 0 | |a Gastransport |g Gasversorgung |0 (DE-588)4500861-9 |D s |
689 | 0 | 1 | |a Gemischt-ganzzahlige Optimierung |0 (DE-588)4156566-6 |D s |
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Datensatz im Suchindex
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---|---|
adam_text | C ONTENTS
A CK NOW LEDGEM EN TS 1
Z USAM M ENFASSUNG 3
A B STRA CT 5
LIST O F F IGURES 8
LIST O F T ABLES 9
1 IN TROD U CTION 13
1.1 THE TITLE OF THIS T H E S I S
.......................................................... 13
1.2 CHALLENGES AND GUIDELINES
.
......................................................
14
1.3 SCIENTIFIC CONTRIBUTION AND R E SU
LTS........................................ 15
1.4 INCORPORATION OF JOINT WORK WITH OTHER A UTHORS
..................
16
1.5 O RG A N IZ A TIO N
............................................................................
16
2 L ITERATURE SURVEY: B ASIC C ON CEP TS 19
2.1 COMPUTATIONAL C O M P LE X ITY
.................................................... 19
2.2 LINEAR PROGRAM M ING
..............................
20
2.3 MIXED-INTEGER LINEAR
PROGRAMMING........................................ 21
2.4 MIXED-INTEGER NONLINEAR PROGRAM M
ING.................................. 23
3 G AS T RANSPORT O P TIM IZATION 27
3.1 THE GERMAN ENERGY IN D U S TRY
..............................
28
3.2 MODELING GAS N E TW O RK
S.......................................................... 30
3.2.1 N O D E S
...............................................................
31
3.2.2 A R C S
...............................................................................
32
3.2.3 S U M M A RY
......................................................................
39
3.3 LITERATURE SURVEY: SOLVING GAS TRANSPORT OPTIMIZATION PROB
LEMS
...........................................................................................
39
4 D ECO M P O SITIO N M ETH O D S FOR M IXED -IN TEGER N ONLIN EAR
P ROGRAM S 43
4.1 PROBLEM S TATEM EN T
..............................................................
44
4.1.1 GENERAL MIXED-INTEGER NONLINEAR P RO G RAM
...............
44
4.1.2 REFORMULATED MIXED-INTEGER NONLINEAR PROGRAM . . 44
4.2 THE A SSUM PTIONS
...............
47
4.3 BASIC ALGORITHMIC FRAM EW ORK
............................................
48
4.4 THE CASE OF STRICTLY MONOTONIE AND STRICTLY CONCAVE OR
CONVEX FUNCTIONS
.................................................................
51
4.4.1 DERIVATION OF THE A LGORITHM ...................................
51
4.4.2 CONVERGENCE R E S U LTS
....................................................
56
4.5 THE CASE OF LIPSCHITZ CONTINUOUS FUNCTIONS AND EXACT FUNC
TION EVALUATIONS
.......................................................................
62
4.5.1 DERIVATION OF THE A LGORITHM
........................................ 62
4.5.2 CONVERGENCE R E S U LTS
....................................................
68
4.6 THE CASE OF LIPSCHITZ CONTINUOUS FUNCTIONS AND INEXACT
FUNCTION EVALUATIONS .
.
............................................................. 72
4.6.1 DERIVATION OF THE A LGORITHM
........................................ 72
4.6.2 CONVERGENCE R E S U LTS
..............................................
...
. 75
4.7 LITERATURE SURVEY: RELATED A LGORITHM S
.............................
78
4.8 FURTHER R E M A RK S
.................................................................. 80
4.8.1 ALGORITHMIC DETAILS
............
.....................
. 80
4.8.2 LIMITATIONS AND E X TEN SIO N
S........................................ 82
4.9 APPLICATION TO STATIONARY GAS TRANSPORT OPTIMIZATION . . . 84
4.9.1 OBJECTIVE F U N CTIO N
.......................................................
85
4.9.2 STATIONARY PIPE M
ODEL................................................. 85
4.9.3 NUMERICAL R E S U LTS
.......................................................
89
5 IN STAN TAN EOU S C ONTROL FOR P D E -C O N STRA IN ED M IXED-
IN TEGER PROGRAM S 103
5.1 PROBLEM STATEMENT AND DERIVATION OF THE ALGORITHM .... 104
5.2 LITERATURE SURVEY: INSTANTANEOUS C O N TR O L.......................
105
5.3 FURTHER R E M A RK S
.................................................................. 106
5.4 APPLICATION TO TRANSIENT GAS TRANSPORT OPTIMIZATION . . . 106
5.4.1 OBJECTIVE F U N CTIO N
.......................................................
107
5.4.2 TRANSIENT PIPE M O D E L
.................................................
109
5.4.3 NUMERICAL R E S U LTS
.......................................................
120
6 SUM M ARY AND OU TLOOK 129
B IB LIOGRAP H Y 131
|
any_adam_object | 1 |
author | Sirvent, Mathias |
author_facet | Sirvent, Mathias |
author_role | aut |
author_sort | Sirvent, Mathias |
author_variant | m s ms |
building | Verbundindex |
bvnumber | BV045206913 |
collection | ebook |
ctrlnum | (OCoLC)1052434343 (DE-599)DNB1166435687 |
doi_str_mv | 10.25593/978-3-96147-114-0 |
format | Thesis Book |
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physical | 148 Seiten Diagramme, Karten 24 cm, 388 g |
psigel | ebook |
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publisher | FAU University Press |
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spelling | Sirvent, Mathias Verfasser aut Incorporating differential equations into mixed-integer programming for gas transport optimization Mathias Sirvent Erlangen FAU University Press 2018 148 Seiten Diagramme, Karten 24 cm, 388 g txt rdacontent n rdamedia nc rdacarrier FAU studies mathematics & physics Band 13 Dissertation Friedrich-Alexander-Universität Erlangen-Nürnberg 2018 Gastransport Gasversorgung (DE-588)4500861-9 gnd rswk-swf Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd rswk-swf Dekomposition Gastransportoptimierung Gemischt-ganzzahlige Optimierung Konvexe Optimierung Nichtkonvexe Optimierung Nichtlineare Optimierung (DE-588)4113937-9 Hochschulschrift gnd-content Gastransport Gasversorgung (DE-588)4500861-9 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 urn:nbn:de:bvb:29-opus4-98628 978-3-96147-114-0 FAU studies mathematics & physics Band 13 (DE-604)BV041186292 13 http://d-nb.info/1166435687/04 Langzeitarchivierung Nationalbibliothek kostenfrei Vollte4xt http://nbn-resolving.org/urn:nbn:de:bvb:29-opus4-98628 Resolving-System kostenfrei Volltext https://doi.org/10.25593/978-3-96147-114-0 Resolving-System kostenfrei Volltext https://open.fau.de/handle/openfau/9862 Verlag kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030595789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Sirvent, Mathias Incorporating differential equations into mixed-integer programming for gas transport optimization FAU studies mathematics & physics Gastransport Gasversorgung (DE-588)4500861-9 gnd Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd |
subject_GND | (DE-588)4500861-9 (DE-588)4156566-6 (DE-588)4113937-9 |
title | Incorporating differential equations into mixed-integer programming for gas transport optimization |
title_auth | Incorporating differential equations into mixed-integer programming for gas transport optimization |
title_exact_search | Incorporating differential equations into mixed-integer programming for gas transport optimization |
title_full | Incorporating differential equations into mixed-integer programming for gas transport optimization Mathias Sirvent |
title_fullStr | Incorporating differential equations into mixed-integer programming for gas transport optimization Mathias Sirvent |
title_full_unstemmed | Incorporating differential equations into mixed-integer programming for gas transport optimization Mathias Sirvent |
title_short | Incorporating differential equations into mixed-integer programming for gas transport optimization |
title_sort | incorporating differential equations into mixed integer programming for gas transport optimization |
topic | Gastransport Gasversorgung (DE-588)4500861-9 gnd Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd |
topic_facet | Gastransport Gasversorgung Gemischt-ganzzahlige Optimierung Hochschulschrift |
url | http://d-nb.info/1166435687/04 http://nbn-resolving.org/urn:nbn:de:bvb:29-opus4-98628 https://doi.org/10.25593/978-3-96147-114-0 https://open.fau.de/handle/openfau/9862 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030595789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV041186292 |
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