A scenario tree-based decomposition for solving multistage stochastic programs with application in energy production

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Mahlke, Debora (VerfasserIn)
Format: Abschlussarbeit Buch
Sprache:English
Veröffentlicht: Wiesbaden Vieweg + Teubner 2011
Ausgabe:1st. ed.
Schriftenreihe:Vieweg + Teubner research : Stochastic programming
Schlagworte:
Online-Zugang:Inhaltsverzeichnis
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!

MARC

LEADER 00000nam a2200000 c 4500
001 BV036886377
003 DE-604
005 00000000000000.0
007 t|
008 110104s2011 gw d||| m||| 00||| eng d
016 7 |a 100393238X  |2 DE-101 
020 |a 9783834814098  |9 978-3-8348-1409-8 
035 |a (OCoLC)917730794 
035 |a (DE-599)DNB100393238X 
040 |a DE-604  |b ger  |e rakddb 
041 0 |a eng 
044 |a gw  |c XA-DE-HE 
049 |a DE-11 
082 0 |a 519.62  |2 22/ger 
084 |a SK 890  |0 (DE-625)143267:  |2 rvk 
084 |a 510  |2 sdnb 
084 |a 620  |2 sdnb 
100 1 |a Mahlke, Debora  |e Verfasser  |0 (DE-588)140272836  |4 aut 
245 1 0 |a A scenario tree-based decomposition for solving multistage stochastic programs  |b with application in energy production  |c Debora Mahlke 
250 |a 1st. ed. 
264 1 |a Wiesbaden  |b Vieweg + Teubner  |c 2011 
300 |a XVI, 182 S.  |b graph. Darst.  |c 21 cm 
336 |b txt  |2 rdacontent 
337 |b n  |2 rdamedia 
338 |b nc  |2 rdacarrier 
490 0 |a Vieweg + Teubner research : Stochastic programming 
502 |a Zugl.: Darmstadt, Techn. Univ., Diss., 2010 
650 0 7 |a Erneuerbare Energien  |0 (DE-588)4068598-6  |2 gnd  |9 rswk-swf 
650 0 7 |a Gemischt-ganzzahlige Optimierung  |0 (DE-588)4156566-6  |2 gnd  |9 rswk-swf 
650 0 7 |a Stochastische Optimierung  |0 (DE-588)4057625-5  |2 gnd  |9 rswk-swf 
655 7 |0 (DE-588)4113937-9  |a Hochschulschrift  |2 gnd-content 
689 0 0 |a Stochastische Optimierung  |0 (DE-588)4057625-5  |D s 
689 0 1 |a Erneuerbare Energien  |0 (DE-588)4068598-6  |D s 
689 0 2 |a Gemischt-ganzzahlige Optimierung  |0 (DE-588)4156566-6  |D s 
689 0 |5 DE-604 
856 4 2 |m DNB Datenaustausch  |q application/pdf  |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020801650&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA  |3 Inhaltsverzeichnis 
943 1 |a oai:aleph.bib-bvb.de:BVB01-020801650 

Datensatz im Suchindex

_version_ 1819658911641239552
adam_text CONTENTS 1 OVERVIEW 1 2 AN ENERGY PRODUCTION PROBLEM 5 2.1 INTRODUCTION 5 2.2 PROBLEM DESCRIPTION 6 2.3 TECHNICAL BACKGROUND 9 2.3.1 FOSSIL-FUEL POWER PLANTS 9 2.3.2 ENERGY STORAGES 10 2.4 RELATED LITERATURE 11 3 MATHEMATICAL MODELING 15 3.1 DETERMINISTIC MODEL 16 3.1.1 SETS AND PARAMETERS 16 3.1.2 VARIABLES AND EFFICIENCY FUNCTIONS 19 3.1.3 CONSTRAINTS 22 3.1.4 OBJECTIVE FUNCTION 26 3.1.5 LINEARIZATION OF THE NONLINEAR FUNCTIONS 27 3.1.6 THE D-OPGEN MODEL 32 3.2 STOCHASTIC MODEL 33 3.2.1 BASIC CONCEPTS IN STOCHASTIC PROGRAMMING 33 3.2.2 THE S-OPGEN MODEL 35 4 STOCHASTIC SWITCHING POLYTOPES 39 4.1 MATHEMATICAL FORMULATION 39 4.2 LITERATURE OVERVIEW 41 4.3 POLYHEDRAL INVESTIGATIONS 42 4.4 SEPARATION 55 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/100393238X DIGITALISIERT DURCH X CONTENTS 5 PRIMAL HEURISTICS 57 5.1 RELAX-AND-FIX 57 5.2 ROLLING HORIZON FOR THE D-OP G EN PROBLEM 60 5.2.1 APPROXIMATION STRATEGIES 63 5.2.2 FEASIBILITY 66 5.3 APPROXIMATE-AND-FIX FOR THE S-OPGEN PROBLEM 71 6 A SCENARIO TREE-BASED DECOMPOSITION OF SMIPS 77 6.1 MOTIVATION AND IDEA 78 6.2 REFORMULATION AND DECOMPOSITION OF THE SMIP 81 6.3 DECOMPOSITION-BASED BRANCH-AND-BOUND ALGORITHM 84 6.4 IMPROVING SD-BB BY APPLYING LAGRANGIAN RELAXATION .... 90 6.4.1 LAGRANGIAN RELAXATION OF COUPLING CONSTRAINTS .... 90 6.4.2 INTEGRATION OF LAGRANGIAN RELAXATION INTO THE SD-BB ALGORITHM 92 7 ALGORITHMIC IMPLEMENTATION 95 7.1 DECOMPOSING A SCENARIO TREE 96 7.1.1 FINDING AN OPTIMAL K- SUB DIVISION 96 7.1.2 REARRANGING AN OPTIMAL FI-SUBDIVISION 104 7.2 BRANCHING 108 7.2.1 VARIABLE SELECTION 108 7.2.2 BRANCHING ON CONTINUOUS VARIABLES 113 7.3 COMPUTING LOWER BOUNDS 115 7.3.1 GENERATION OF A FIRST LOWER BOUND 116 7.3.2 CACHING OF SUBPROBLEMS FOR THE COMPUTATION OF LOWER BOUNDS 118 7.4 COMPUTING FEASIBLE SOLUTIONS 121 7.4.1 PRIMAL START SOLUTION 121 7.4.2 PRIMAL SOLUTIONS BASED ON LOCAL INFORMATION 122 8 CONTENTS XI 8.2 SEPARATION 130 8.3 HEURISTICS 134 8.3.1 ROLLING HORIZON ALGORITHM 134 8.3.2 APPROXIMATE-AND-FIX HEURISTIC 143 8.4 SD-BB ALGORITHM 150 8.4.1 DECOMPOSING THE SCENARIO TREE 151 8.4.2 COMPUTING A FIRST LOWER BOUND 154 8.4.3 HEURISTICS 157 8.4.4 BRANCHING 159 8.4.5 ACCURACY 161 8.4.6 SOLVING LARGE INSTANCES 163 9 CONCLUSIONS 171 BIBLIOGRAPHY 175
any_adam_object 1
author Mahlke, Debora
author_GND (DE-588)140272836
author_facet Mahlke, Debora
author_role aut
author_sort Mahlke, Debora
author_variant d m dm
building Verbundindex
bvnumber BV036886377
classification_rvk SK 890
ctrlnum (OCoLC)917730794
(DE-599)DNB100393238X
dewey-full 519.62
dewey-hundreds 500 - Natural sciences and mathematics
dewey-ones 519 - Probabilities and applied mathematics
dewey-raw 519.62
dewey-search 519.62
dewey-sort 3519.62
dewey-tens 510 - Mathematics
discipline Maschinenbau / Maschinenwesen
Mathematik
edition 1st. ed.
format Thesis
Book
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01928nam a2200469 c 4500</leader><controlfield tag="001">BV036886377</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">110104s2011 gw d||| m||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">100393238X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783834814098</subfield><subfield code="9">978-3-8348-1409-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)917730794</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB100393238X</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-HE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.62</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 890</subfield><subfield code="0">(DE-625)143267:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">620</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mahlke, Debora</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)140272836</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A scenario tree-based decomposition for solving multistage stochastic programs</subfield><subfield code="b">with application in energy production</subfield><subfield code="c">Debora Mahlke</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1st. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Wiesbaden</subfield><subfield code="b">Vieweg + Teubner</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 182 S.</subfield><subfield code="b">graph. Darst.</subfield><subfield code="c">21 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Vieweg + Teubner research : Stochastic programming</subfield></datafield><datafield tag="502" ind1=" " ind2=" "><subfield code="a">Zugl.: Darmstadt, Techn. Univ., Diss., 2010</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Erneuerbare Energien</subfield><subfield code="0">(DE-588)4068598-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gemischt-ganzzahlige Optimierung</subfield><subfield code="0">(DE-588)4156566-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastische Optimierung</subfield><subfield code="0">(DE-588)4057625-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Stochastische Optimierung</subfield><subfield code="0">(DE-588)4057625-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Erneuerbare Energien</subfield><subfield code="0">(DE-588)4068598-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Gemischt-ganzzahlige Optimierung</subfield><subfield code="0">(DE-588)4156566-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&amp;doc_library=BVB01&amp;local_base=BVB01&amp;doc_number=020801650&amp;sequence=000001&amp;line_number=0001&amp;func_code=DB_RECORDS&amp;service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-020801650</subfield></datafield></record></collection>
genre (DE-588)4113937-9 Hochschulschrift gnd-content
genre_facet Hochschulschrift
id DE-604.BV036886377
illustrated Illustrated
indexdate 2024-12-24T00:16:16Z
institution BVB
isbn 9783834814098
language English
oai_aleph_id oai:aleph.bib-bvb.de:BVB01-020801650
oclc_num 917730794
open_access_boolean
owner DE-11
owner_facet DE-11
physical XVI, 182 S. graph. Darst. 21 cm
publishDate 2011
publishDateSearch 2011
publishDateSort 2011
publisher Vieweg + Teubner
record_format marc
series2 Vieweg + Teubner research : Stochastic programming
spellingShingle Mahlke, Debora
A scenario tree-based decomposition for solving multistage stochastic programs with application in energy production
Erneuerbare Energien (DE-588)4068598-6 gnd
Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd
Stochastische Optimierung (DE-588)4057625-5 gnd
subject_GND (DE-588)4068598-6
(DE-588)4156566-6
(DE-588)4057625-5
(DE-588)4113937-9
title A scenario tree-based decomposition for solving multistage stochastic programs with application in energy production
title_auth A scenario tree-based decomposition for solving multistage stochastic programs with application in energy production
title_exact_search A scenario tree-based decomposition for solving multistage stochastic programs with application in energy production
title_full A scenario tree-based decomposition for solving multistage stochastic programs with application in energy production Debora Mahlke
title_fullStr A scenario tree-based decomposition for solving multistage stochastic programs with application in energy production Debora Mahlke
title_full_unstemmed A scenario tree-based decomposition for solving multistage stochastic programs with application in energy production Debora Mahlke
title_short A scenario tree-based decomposition for solving multistage stochastic programs
title_sort a scenario tree based decomposition for solving multistage stochastic programs with application in energy production
title_sub with application in energy production
topic Erneuerbare Energien (DE-588)4068598-6 gnd
Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd
Stochastische Optimierung (DE-588)4057625-5 gnd
topic_facet Erneuerbare Energien
Gemischt-ganzzahlige Optimierung
Stochastische Optimierung
Hochschulschrift
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020801650&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv AT mahlkedebora ascenariotreebaseddecompositionforsolvingmultistagestochasticprogramswithapplicationinenergyproduction