Determination of weak Pareto frontier solutions under probabilistic constraints: a neighborhood search approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Saarbrücken
VDM-Verl. Müller
2008
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| Subjects: | |
| Online Access: | http://d-nb.info/987726064/04 Inhaltsverzeichnis |
| Physical Description: | XXIII, 285 S. Ill., graph. Darst. 24 cm |
| ISBN: | 9783836456425 |
Staff View
MARC
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| 245 | 1 | 0 | |a Determination of weak Pareto frontier solutions under probabilistic constraints |b a neighborhood search approach |c Hongjun Ran |
| 264 | 1 | |a Saarbrücken |b VDM-Verl. Müller |c 2008 | |
| 300 | |a XXIII, 285 S. |b Ill., graph. Darst. |c 24 cm | ||
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| 502 | |a Zugl.: Atlanta, Georgia Inst. of Technology, Diss., 2002 | ||
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Record in the Search Index
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| adam_text | * * BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/987726064
DIGITALISIERT DURCH * * * A.4 UNIFORM DESIGNS 218 5.1 PURE MATHEMATICAL
EXAMPLES OF SURROGATE MODELING... . .. 137 5.1.1 THE UPPER HEMISPHERE
EXAMPLE 138 5.1.2 THE WAVE FUNCTION EXAMPLE 143 5.1.3 THE RASTRIGIN
FUNCTION WITH 36 PEAKS EXAMPLE 149 5.1.4 COMPARISON WITH NEURAL NETWORK
154 5.1.5 DISCUSSION 159 5.2 PURE MATHEMATICAL EXAMPLES OF FINDING THE
WEAK PARETO FRONTIER. 161 5.2.1 FIRST MATHEMATICAL EXAMPLE OF FINDING
WPF 162 5.2.2 SECOND MATHEMATICAL EXAMPLE OF FINDING WPF 164 5.2.3 THIRD
MATHEMATICAL EXAMPLE OF FINDING WPF 166 5.2.4 FOURTH MATHEMATICAL
EXAMPLE OF FINDING WPF 168 5.2.5 DISCUSSION 171 5.3 A TRANSPORT AIRCRAFT
DESIGN EXAMPLE 172 5.3.1 SURROGATE MODELS 174 5.3.2 DESIGN RESULTS 176
5.3.3 DISCUSSION 184 5.4 A REUSABLE LAUNCH VEHICLE DESIGN EXAMPLE 187
5.4.1 SURROGATE MODELS 189 5.4.2 DESIGN RESULTS 191 5.4.3 DISCUSSION 196
6 CONCLUSIONS AND RECOMMENDATIONS 199 6.1 RESEARCH QUESTIONS 199 6.2
SUMMARY OF CONTRIBUTIONS 205 6.3 RECOMMENDATIONS 208 APPENDIX A:
SAMPLING METHODS OVERVDZW AND SOME MODERN METHODS . . .......... 211 A.1
OVERVIEW OF SAMPLING METHODS 211 A.2 OVERVIEW OF CLASSICAL DOE S 215 A.3
ORTHOGONAL ARRAY SAMPLING 216 VITA .. 285 APPENDIX B: SURROGATE-MODELING
PRELIMINARIES AND THREE MODERN METHODS 220 B.I STATISTICAL INFERENCES
220 B.2 THE PROBLEM OF CURSE OF DIMENSIONALITY OF THE PARAMETRIC
INFERENCE 222 B.3 PROBLEM OF REGRESSION ESTIMATION AND RELATED DECISION
PRINCIPLES 223 B.4 NEURAL NETWORK 231 B.5 GAUSSIAN PROCESS 236
B.6KRIGING 238 APPENDIX C: USING KARUSH-KUHN-TUCKER CONDITIONS TO
CALCULATE B IN SVR 242 APPENDIX D: ERROR MEASURES AND TWO MODEL
ASSESSMENT AND SELECTION METHODS 246 D.I MODEL FITTING ERROR AND
PREDICTING ERROR 246 D.2 FUNDAMENTAL OF THE RE-SAMPLING METHODS: THE
JACKKNIFE METHOD 247 D.3 THE CROSS VALIDATION METHOD 249 D.4 THE
BOOTSTRAP METHOD 251 APPENDIX E: THE CONCEPTS OF MPP AND LSF OF FPI 253
APPENDIX F: THE MULTI-VARIATE MONTE CARLO SAMPLING 255 APPENDIX G:
TRUNCATED NORMAL DISTRD3UTION 257 APPENDIX H: A TRANSPORT AIRCRAFT
DESIGN OPTIMIZATION PROBLEM 259 APPENDIX I: A REUSABLE LAUNCH VEHICLE
DESIGN OPTIMIZATION PROBLEM 267 REFERENCES 275
|
| adam_txt |
* * BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/987726064
DIGITALISIERT DURCH * * * A.4 UNIFORM DESIGNS 218 5.1 PURE MATHEMATICAL
EXAMPLES OF SURROGATE MODELING. . . 137 5.1.1 THE UPPER HEMISPHERE
EXAMPLE 138 5.1.2 THE WAVE FUNCTION EXAMPLE 143 5.1.3 THE RASTRIGIN
FUNCTION WITH 36 PEAKS EXAMPLE 149 5.1.4 COMPARISON WITH NEURAL NETWORK
154 5.1.5 DISCUSSION 159 5.2 PURE MATHEMATICAL EXAMPLES OF FINDING THE
WEAK PARETO FRONTIER. 161 5.2.1 FIRST MATHEMATICAL EXAMPLE OF FINDING
WPF 162 5.2.2 SECOND MATHEMATICAL EXAMPLE OF FINDING WPF 164 5.2.3 THIRD
MATHEMATICAL EXAMPLE OF FINDING WPF 166 5.2.4 FOURTH MATHEMATICAL
EXAMPLE OF FINDING WPF 168 5.2.5 DISCUSSION 171 5.3 A TRANSPORT AIRCRAFT
DESIGN EXAMPLE 172 5.3.1 SURROGATE MODELS 174 5.3.2 DESIGN RESULTS 176
5.3.3 DISCUSSION 184 5.4 A REUSABLE LAUNCH VEHICLE DESIGN EXAMPLE 187
5.4.1 SURROGATE MODELS 189 5.4.2 DESIGN RESULTS 191 5.4.3 DISCUSSION 196
6 CONCLUSIONS AND RECOMMENDATIONS 199 6.1 RESEARCH QUESTIONS 199 6.2
SUMMARY OF CONTRIBUTIONS 205 6.3 RECOMMENDATIONS 208 APPENDIX A:
SAMPLING METHODS OVERVDZW AND SOME MODERN METHODS . . . 211 A.1
OVERVIEW OF SAMPLING METHODS 211 A.2 OVERVIEW OF CLASSICAL DOE'S 215 A.3
ORTHOGONAL ARRAY SAMPLING 216 VITA . 285 APPENDIX B: SURROGATE-MODELING
PRELIMINARIES AND THREE MODERN METHODS 220 B.I STATISTICAL INFERENCES
220 B.2 THE PROBLEM OF "CURSE OF DIMENSIONALITY" OF THE PARAMETRIC
INFERENCE 222 B.3 PROBLEM OF REGRESSION ESTIMATION AND RELATED DECISION
PRINCIPLES 223 B.4 NEURAL NETWORK 231 B.5 GAUSSIAN PROCESS 236
B.6KRIGING 238 APPENDIX C: USING KARUSH-KUHN-TUCKER CONDITIONS TO
CALCULATE B IN SVR 242 APPENDIX D: ERROR MEASURES AND TWO MODEL
ASSESSMENT AND SELECTION METHODS 246 D.I MODEL FITTING ERROR AND
PREDICTING ERROR 246 D.2 FUNDAMENTAL OF THE RE-SAMPLING METHODS: THE
JACKKNIFE METHOD 247 D.3 THE CROSS VALIDATION METHOD 249 D.4 THE
BOOTSTRAP METHOD 251 APPENDIX E: THE CONCEPTS OF MPP AND LSF OF FPI 253
APPENDIX F: THE MULTI-VARIATE MONTE CARLO SAMPLING 255 APPENDIX G:
TRUNCATED NORMAL DISTRD3UTION 257 APPENDIX H: A TRANSPORT AIRCRAFT
DESIGN OPTIMIZATION PROBLEM 259 APPENDIX I: A REUSABLE LAUNCH VEHICLE
DESIGN OPTIMIZATION PROBLEM 267 REFERENCES 275 |
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| author_facet | Ran, Hongjun |
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Thesis Book |
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| isbn | 9783836456425 |
| language | English |
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| physical | XXIII, 285 S. Ill., graph. Darst. 24 cm |
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| spelling | Ran, Hongjun Verfasser aut Determination of weak Pareto frontier solutions under probabilistic constraints a neighborhood search approach Hongjun Ran Saarbrücken VDM-Verl. Müller 2008 XXIII, 285 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Atlanta, Georgia Inst. of Technology, Diss., 2002 Pareto-Verteilung (DE-588)4632300-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Pareto-Verteilung (DE-588)4632300-4 s b DE-604 http://d-nb.info/987726064/04 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016526232&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ran, Hongjun Determination of weak Pareto frontier solutions under probabilistic constraints a neighborhood search approach Pareto-Verteilung (DE-588)4632300-4 gnd |
| subject_GND | (DE-588)4632300-4 (DE-588)4113937-9 |
| title | Determination of weak Pareto frontier solutions under probabilistic constraints a neighborhood search approach |
| title_auth | Determination of weak Pareto frontier solutions under probabilistic constraints a neighborhood search approach |
| title_exact_search | Determination of weak Pareto frontier solutions under probabilistic constraints a neighborhood search approach |
| title_exact_search_txtP | Determination of weak Pareto frontier solutions under probabilistic constraints a neighborhood search approach |
| title_full | Determination of weak Pareto frontier solutions under probabilistic constraints a neighborhood search approach Hongjun Ran |
| title_fullStr | Determination of weak Pareto frontier solutions under probabilistic constraints a neighborhood search approach Hongjun Ran |
| title_full_unstemmed | Determination of weak Pareto frontier solutions under probabilistic constraints a neighborhood search approach Hongjun Ran |
| title_short | Determination of weak Pareto frontier solutions under probabilistic constraints |
| title_sort | determination of weak pareto frontier solutions under probabilistic constraints a neighborhood search approach |
| title_sub | a neighborhood search approach |
| topic | Pareto-Verteilung (DE-588)4632300-4 gnd |
| topic_facet | Pareto-Verteilung Hochschulschrift |
| url | http://d-nb.info/987726064/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016526232&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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