Multicriteria optimization in engineering and in the sciences:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
New York [u.a.]
Plenum Press
1988
|
| Series: | Mathematical concepts and methods in science and engineering
37 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIV, 405 S. graph. Darst. |
| ISBN: | 0306427435 |
Staff View
MARC
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| 245 | 1 | 0 | |a Multicriteria optimization in engineering and in the sciences |c ed. by Wolfram Stadler |
| 264 | 1 | |a New York [u.a.] |b Plenum Press |c 1988 | |
| 300 | |a XIV, 405 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Mathematical concepts and methods in science and engineering |v 37 | |
| 500 | |a Literaturangaben | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
1. Fundamentals of Multicriteria Optimization
Wolfram Stadler
1.1. Introduction 1
1.2. Preferences and Orderings 3
1.3. The Problem Statement 9
1.4. The Optimality Concept 12
1.5. Necessary Conditions for EP Optimality 14
1.6. Scalarization and Sufficient Conditions 18
1.7. Concluding Remarks 22
References 24
2. Numerically Analyzing Linear Multicriteria Optimization Problems
Jerald P. Dauer
2.1. Introduction 27
2.2. State Space Analysis of LMCO Problems 28
2.3. Numerically Analyzing Real Problems 35
2.4. Analyzing the Objective Set Y 40
References 45
3. Applications of Multicriteria Optimization in Approximation Theory
J. John and W. Krabs
3.1. Introduction 49
3.2. Several Vector Approximation Problems 49
3.3. Characterization of Pareto Optima by Scalarization 54
3.4. Numerical Results Based on Scalarization 62
3.5. Alternation Theorems for Chebyshev Vector Approximation Problems 67
References 75
xi
xii Contents
4. Welfare Economics and the Vector Maximum Problem
N. Schuh
4.1. Introduction 77
4.2. The Arrow Debreu Model of an Economy 78
4.3. Classical Market Failures 97
4.4. Second Best Pareto Optimality 106
4.5. Incomplete Markets 108
4.6. Welfare Functions 110
4.7. Concluding Remarks 112
References 113
5. Multicriterion Optimization in Resources Planning
Jared Cohort, Giuseppe Scavone, and Rajendra Solanki
5.1. Introduction 117
5.2. Scope of This Chapter 118
5.3. Multicriterion Optimization Methods 118
5.4. Water Resources 122
5.5. Energy Systems Planning and Design 145
5.6. Land Use Planning and Land Acquisition 152
5.7. Forest Management 153
5.8. Regional Environmental Planning 154
5.9. Summary and Conclusions 155
References 155
6. Renewable Resource Management
Thomas L. Vincent
6.1. Introduction 161
6.2. Stability 163
6.3. Equilibrium Point Optimality 167
6.4. Vulnerability 174
6.5. Conclusions 185
References 185
7. Competition, Kin Selection, and Evolutionary Stable Strategies
M. Mirmirani and G. Oster
7.1. Introduction 187
7.2. Optimal Reproductive Strategy over a Single Season 188
7.3. Optimal Reproductive Strategy over Many Seasons 191
7.4. Optimal Reproductive Strategies under Competition 193
Contents xiii
7.5. Kin Selection and Competition between Related Individuals . . . 198
7.6. Group and Kin Selection: Multiseason Strategies in a Patchy
Environment 202
7.7. Discussion 211
Appendix 212
References 221
8. Multicriteria Optimization Methods for Design of Aircraft Control Systems
Albert A. Schy and Daniel P. Giesy
8.1. Introduction 225
8.2. Aircraft Dynamics and Control 227
8.3. Description of Methods 232
8.4. Examples, Results, and Discussion 238
8.5. Computational Methods 251
8.6. Concluding Remarks 255
References 261
9. Multicriteria Truss Optimization
Juhani Koski
9.1. Introduction 263
9.2. Analysis and Scalar Optimization of Structures 264
9.3. Multicriteria Optimization of Hyperstatic Trusses 272
9.4. Interactive Design Method 285
9.5. Isostatic Trusses 297
9.6. Conclusion 304
References 306
10. Multicriteria Optimization Techniques for Highly Accurate Focusing Systems
Hans A. Eschenauer
10.1. Introduction 309
10.2. Mathematical Fundamentals 310
10.3. Establishing an Optimization Procedure . 323
10.4. Optimum Design of Highly Accurate Focusing Systems 329
10.5. Summary 349
References 352
xjv Contents
11. Natural Structural Shapes (A Unified Optimal Design Philosophy)
Wolfram Stadler
11.1. Introduction 355
11.2. A Simple Example 357
11.3. Natural Structural Shapes 362
11.4. A Tree Branch 366
11.5. Stability Implications 371
11.6. Conclusion 389
References 390
Author Index 391
Subject Index 401
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| indexdate | 2024-07-09T15:43:31Z |
| institution | BVB |
| isbn | 0306427435 |
| language | English |
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| physical | XIV, 405 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Plenum Press |
| record_format | marc |
| series | Mathematical concepts and methods in science and engineering |
| series2 | Mathematical concepts and methods in science and engineering |
| spelling | Multicriteria optimization in engineering and in the sciences ed. by Wolfram Stadler New York [u.a.] Plenum Press 1988 XIV, 405 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematical concepts and methods in science and engineering 37 Literaturangaben Programacao matematica larpcal Mathematical optimization Mehrkriterielle Optimierung (DE-588)4610682-0 gnd rswk-swf Mehrkriterielle Optimierung (DE-588)4610682-0 s DE-604 Stadler, Wolfram Sonstige oth Mathematical concepts and methods in science and engineering 37 (DE-604)BV000001144 37 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001507538&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Multicriteria optimization in engineering and in the sciences Mathematical concepts and methods in science and engineering Programacao matematica larpcal Mathematical optimization Mehrkriterielle Optimierung (DE-588)4610682-0 gnd |
| subject_GND | (DE-588)4610682-0 |
| title | Multicriteria optimization in engineering and in the sciences |
| title_auth | Multicriteria optimization in engineering and in the sciences |
| title_exact_search | Multicriteria optimization in engineering and in the sciences |
| title_full | Multicriteria optimization in engineering and in the sciences ed. by Wolfram Stadler |
| title_fullStr | Multicriteria optimization in engineering and in the sciences ed. by Wolfram Stadler |
| title_full_unstemmed | Multicriteria optimization in engineering and in the sciences ed. by Wolfram Stadler |
| title_short | Multicriteria optimization in engineering and in the sciences |
| title_sort | multicriteria optimization in engineering and in the sciences |
| topic | Programacao matematica larpcal Mathematical optimization Mehrkriterielle Optimierung (DE-588)4610682-0 gnd |
| topic_facet | Programacao matematica Mathematical optimization Mehrkriterielle Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001507538&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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