Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Düsseldorf
VDI-Verl.
2009
|
| Ausgabe: | Als Ms. gedr. |
| Schriftenreihe: | Fortschritt-Berichte VDI
Reihe 10, Informatik, Kommunikation ; 797 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 114 S. Ill., graph. Darst. 21 cm |
| ISBN: | 9783183797103 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804139363524673536 |
|---|---|
| adam_text | Titel: Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering
Autor: Hemker, Thomas
Jahr: 2009
Contents
Abstract VIII
1 Introduction 1
1.1 Motivation 1
1.2 Problem Overview 3
1.3 Contents and Contributions 4
2 State of Research in Optimization Methods 5
2.1 Underlying Systems and Approved Optimization Approaches 5
2.1.1 The Systems of Interest 5
2.1.2 Relevant Simulation Models 6
2.1.3 Adapted Optimization Approaches 9
2.2 Derivative Free Iterative Optimization 12
2.2.1 Metaheuristic Search 13
2.2.2 Deterministic Sampling 15
2.2.3 Surrogate-Based Optimization Teclmiques 18
2.2.4 Constrained Optimization Problems 25
2.3 Mixed-Integer Nonlinear Optimization 25
2.3.1 Problem Statement 26
2.3.2 Numerical Methods 27
2.3.3 Mixed-Variable Problems 29
2.4 Summary of Chapter 2 30
3 Mixed-Integer Optimization for Surrogate Problems 31
3.1 General Optimization Problem Formulation 31
3.1.1 Definition of the Black Box Components 31
3.1.2 Modeling of the Optimization Problem 34
3.2 Surrogate Functions for Mixed-Integer Black Box Type Problems 35
3.2.1 Extension of the Optimization Variables Domain 36
3.2.2 Generating Surrogate Functions by Stochastic Approximations ... 37
3.3 Mixed-Integer Nonlinear Programming for Surrogate Problems 40
3.3.1 Brauch and Bound 40
3.3.2 Sequential Quadratic Programming 41
3.4 Summary of Chapter 3 41
4 Sequential Optimization for Surrogate Problems 42
4.1 Selection of Initial Design Points 42
4.1.1 Candidate Selection without Black Box Responses 43
4.1.2 Using Expert s Guesses and Available Information 43
4.2 A Distance-Based Update Criteria 44
4.2.1 Local Update, Strawman Approach 44
4.2.2 Mean Squared Error as Uncertainty Predictor 45
4.2.3 Stopping Rules and Convergence 46
4.3 Options for Parallelization 47
4.3.1 Sequential Optimization Procedures 47
4.3.2 Synchronous Parallelization Approaches 47
4.3.3 Asynchronous Parallelization Approaches 49
4.3.4 Problems with Multiple Black Boxes 49
4.4 Summary of Chapter 4 50
5 Electrical Engineering Applications 51
5.1 Characteristics of Magnet Design Optimization 51
5.2 Cost Minimal Design of a Magnetic Bearing 51
5.2.1 Design Details for the Magnetic Bearing 52
5.2.2 Optimization Problem Formulation 52
5.2.3 Implementation and Numerical Results 53
5.2.4 Summary 55
5.3 Efficiency Optimization of a Superconductive Synchrotron Magnet 56
5.3.1 Problem Description 56
5.3.2 Optimization Problem Formulation 58
5.3.3 Implementation and Numerical Results 59
5.3.4 Summary 61
6 Water Resources Management Applications 62
6.1 Problem Description 62
6.2 The Community Problems: A Benchmark Set 63
6.3 Optimization Problem Formulation 64
6.3.1 Modeling of the Optimization Problem 64
6.3.2 Modeling of the Surrogate Problem 66
6.4 Reference Approaclies 67
6.4.1 Implicit Filtering applied to Alternative Formulations 67
6.4.2 A Genetic Algorithm 69
6.5 Newly Obtained Best Designs 70
6.5.1 Comparison of the Applied Approaches 71
6.5.2 Well-Field Design Problem 73
6.5.3 Hydrauüc Capture Problem 74
6.6 Summary of Chapter 6 75
7 Applications in Robotics and Control 77
7.1 Directly Coupled System: Hardware in the Loop Optimization 77
7.2 Four-Legged Sony Aibos 78
7.2.1 Applied Turning and Walking Speed Optimization Setup 78
7.2.2 Obtained Experimental Results 79
7.3 Humanoid Robot Prototype Bruno 79
7.3.1 Humanoid Locomotion gO
7.3.2 Design Details of the Robot Prototype 81
7.3.3 The Derived Optimization Problem g5
7.3.4 Experiments! Setup and New Fast Walking Motions 86
7.4 Summary of Chapter 7 90
8 Conclusion 91
8.1 Summary 91
8.2 Perspectives 93
Zusammenfassung (in German) 94
Bibliography 96
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| any_adam_object | 1 |
| author | Hemker, Thomas |
| author_GND | (DE-588)138622310 |
| author_facet | Hemker, Thomas |
| author_role | aut |
| author_sort | Hemker, Thomas |
| author_variant | t h th |
| building | Verbundindex |
| bvnumber | BV035668959 |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)427646742 (DE-599)BVBBV035668959 |
| dewey-full | 620.0011 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.0011 |
| dewey-search | 620.0011 |
| dewey-sort | 3620.0011 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| edition | Als Ms. gedr. |
| format | Thesis Book |
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| id | DE-604.BV035668959 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:42:54Z |
| institution | BVB |
| isbn | 9783183797103 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017723258 |
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| physical | VIII, 114 S. Ill., graph. Darst. 21 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
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| publisher | VDI-Verl. |
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| series | Fortschritt-Berichte VDI |
| series2 | Fortschritt-Berichte VDI : Reihe 10, Informatik, Kommunikation |
| spelling | Hemker, Thomas Verfasser (DE-588)138622310 aut Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering Thomas Hemker Als Ms. gedr. Düsseldorf VDI-Verl. 2009 VIII, 114 S. Ill., graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Fortschritt-Berichte VDI : Reihe 10, Informatik, Kommunikation 797 Zugl.: Darmstadt, Techn. Univ., Diss. Nichtlineare Optimierung (DE-588)4128192-5 gnd rswk-swf Technisches System (DE-588)4126276-1 gnd rswk-swf Blackbox (DE-588)4539866-5 gnd rswk-swf Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Technisches System (DE-588)4126276-1 s Blackbox (DE-588)4539866-5 s Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 s Nichtlineare Optimierung (DE-588)4128192-5 s DE-604 Fortschritt-Berichte VDI Reihe 10, Informatik, Kommunikation ; 797 (DE-604)BV000897204 797 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017723258&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hemker, Thomas Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering Fortschritt-Berichte VDI Nichtlineare Optimierung (DE-588)4128192-5 gnd Technisches System (DE-588)4126276-1 gnd Blackbox (DE-588)4539866-5 gnd Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd |
| subject_GND | (DE-588)4128192-5 (DE-588)4126276-1 (DE-588)4539866-5 (DE-588)4156566-6 (DE-588)4113937-9 |
| title | Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering |
| title_auth | Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering |
| title_exact_search | Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering |
| title_full | Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering Thomas Hemker |
| title_fullStr | Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering Thomas Hemker |
| title_full_unstemmed | Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering Thomas Hemker |
| title_short | Derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering |
| title_sort | derivative free surrogate optimization for mixed integer nonlinear black box problems in engineering |
| topic | Nichtlineare Optimierung (DE-588)4128192-5 gnd Technisches System (DE-588)4126276-1 gnd Blackbox (DE-588)4539866-5 gnd Gemischt-ganzzahlige Optimierung (DE-588)4156566-6 gnd |
| topic_facet | Nichtlineare Optimierung Technisches System Blackbox Gemischt-ganzzahlige Optimierung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017723258&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000897204 |
| work_keys_str_mv | AT hemkerthomas derivativefreesurrogateoptimizationformixedintegernonlinearblackboxproblemsinengineering |