Production factor mathematics:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XIV, 402 S. Ill., graph. Darst. |
| ISBN: | 9783642112478 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
INTRODUCTION MARTIN GROETSCHEL, KLAUS LUCAS, AND VOLKER MEHRMANN
PROCESSES
PREDICTIVE PLANNING AND SYSTEMATIC ACTION-ON THE CONTROL OF TECHNICAL
PROCESSES 9
LARS GRUENE, SEBASTIAN SAGER, FRANK ALLGOEWER, HANS GEORG BOCK, AND MORITZ
DIEHL 1 EXECUTIVE SUMMARY 9
2 A LONG SUCCESS STORY 10
2.1 THE STABILITY CRITERION OF HURWITZ 10
2.2 PONTRYAGIN'S MAXIMUM PRINCIPLE 12
2.3 CONCLUSION 13
3 STATE-OF-THE-ART AND CURRENT DEVELOPMENTS: THE EXAMPLE "MODEL
PREDICTIVE CONTROL" 14
3.1 A SHORT INTRODUCTION TO CONTROL ENGINEERING 14
3.2 THE PRINCIPLE OF MODEL PREDICTIVE CONTROL 17
3.3 STABILITY OF MPC 19
3.4 APPLICATION FIELDS 20
3.5 DIRECT OPTIMAL CONTROL METHODS 22
4 CHALLENGES 27
4.1 MODELING 27
4.2 ROBUSTNESS OF SOLUTIONS, UNCERTAINTIES 30
4.3 FURTHER CHALLENGES 31
5 VISIONS AND RECOMMENDATIONS 32
5.1 THEORY AND PRAXIS 33
5.2 INTERDISCIPLINARY IN EDUCATION 34
REFERENCES 34
V LL
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1000034348
DIGITALISIERT DURCH
IMAGE 2
VIUE CONTENTS
DATA COMPRESSION, PROCESS OPTIMIZATION, AERODYNAMICS:
A TOUR THROUGH THE SCALES 39
WOLFGANG DAHMEN AND WOLFGANG MARQUARDT 1 EXECUTIVE SUMMARY 39
2 SOME GUIDING IDEAS 40
3 SUCCESS STORIES 42
3.1 INFORMATION RETRIEVAL FROM HUGE DATASETS 42
3.2 INFORMATION RETRIEVAL FROM HUGE DATASETS 42
3.3 ADAPTIVELY OPTIMIZED 43
3.4 AERODYNAMICS UNDER A MATHEMATICAL MICROSCOPE 47 4 STATUS QUO 50
4.1 MULTISCALE-DECOMPOSITION: WAVELETS 50
4.2 MULTISCALE METHODS FOR PROCESS DATA ANALYSIS 56
4.3 SOLVING OPTIMAL CONTROL PROBLEMS WITH ADAPTIVE WAVELET
DISCRETIZATION 59
4.4 ADAPTIVE METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS IN FLUID
MECHANICS 62
5 ANALYSIS OF STRENGTHS AND WEAKNESSES 69
6 VISIONS AND RECOMMENDED COURSE OF ACTION 70
REFERENCES 70
ACTIVE FLOW CONTROL-A MATHEMATICAL CHALLENGE 73
RUDIBERT KING, VOLKER MEHRMANN, AND WOLFGANG NITSCHE 1 EXECUTIVE SUMMARY
73
2 SUCCESS STORIES 74
3 ACTIVE FLOW CONTROL, STATUS QUO 75
3.1 MODELLING 77
4 ANALYSIS OF STRENGTHS AND WEAKNESSES, CHALLENGES 79
5 VISIONS AND RECOMMENDATIONS 79
REFERENCES 80
DATA MINING FOR THE CATEGORY MANAGEMENT IN THE RETAIL MARKET 81 JOCHEN
GARCKE, MICHAEL GRIEBEL, AND MICHAEL THESS 1 EXECUTIVE SUMMARY 81
2 CATEGORY MANAGEMENT IN THE RETAIL MARKET: OVERVIEW AND STATUS QUO 82
2.1 OPTIMIZATION OF CAMPAIGNS 83
2.2 CROSS-AND UP-SELLING 85
3 OUTLOOK 89
4 VISIONS AND SUGGESTED ACTIONS 91
REFERENCES 91
IMAGE 3
CONTENTS IX
NETWORKS
PLANNING PROBLEMS IN PUBLIC TRANSIT 95
RALF BORNDOERFER, MARTIN GROETSCHEL, AND ULRICH JAEGER 1 EXECUTIVE SUMMARY
95
2 SUCCESS STORIES 96
3 PT PLANNING PROBLEMS: SURVEY AND STATUS QUO 99
3.1 SCHEDULING 100
3.2 CONTROL 103
3.3 SERVICE DESIGN 106
3.4 REGULATION 108
4 STRENGTHS, WEAKNESSES, AND CHALLENGES 108
4.1 GENERAL CONDITIONS FOR THE USE OF MATHEMATICS 109 4.2 MATHEMATICAL
MODELS AND ALGORITHMS 112
4.3 TRANSFER AND EDUCATION 115
4.4 CONCLUSION 116
5 VISIONS AND RECOMMENDATIONS 117
5.1 DISCRETE OPTIMAL CONTROL: REAL-TIME RE-PLANNING OF TRAFFIC SYSTEMS
IN CASE OF DISRUPTIONS 117
5.2 MODEL INTEGRATION: SERVICE DESIGN IN BUS AND RAIL TRAFFIC . 119
REFERENCES 119
TOWARDS MORE INTELLIGENCE IN LOGISTICS WITH MATHEMATICS 123 ROLF H.
MOEHRING AND MICHAEL SCHENK 1 EXECUTIVE SUMMARY 123
2 EXAMPLES OF SUCCESS 125
2.1 LOGISTICS CHAINS 125
2.2 SHIPPING 126
2.3 PRODUCTION LOGISTICS 127
2.4 CONTROLLING LOGISTICAL NETWORKS 129
3 LOGISTICS AND MATHEMATICS: THE STATUS QUO 132
3.1 ON THE DEVELOPMENT OF LOGISTICS 132
3.2 MATHEMATICS IN LOGISTICS 133
4 FUTURE CHALLENGES 133
5 VISIONS AND RECOMMENDATIONS FOR ACTION 135
REFERENCES 136
OPTIMIZATION OF COMMUNICATION NETWORKS 1 39
JOERG EBERSPAECHER, MORITZ KIESE, AND ROLAND WESSAELY 1 EXECUTIVE SUMMARY
139
2 MATHEMATICS AS THE FOUNDATION OF EVERY NETWORK 140
2.1 ROUTING IN THE INTERNET 140
2.2 QUALITY CONTROL IN PHONE NETWORKS AND THE INTERNET . . . 141 2.3
COST OPTIMIZATION OF NETWORK INVESTMENTS 142
3 NETWORKS, PLANNING AND METHODS 143
3.1 NETWORK ARCHITECTURE AND PLANNING ASPECTS 143
IMAGE 4
X CONTENTS
3.2 STRATEGIC PLANNING 144
3.3 TACTICAL PLANNING 145
3.4 OPERATIONAL PLANNING 147
3.5 STATUS QUO: SUMMARY 148
4 INFLUENCES AND CHALLENGES 149
4.1 MARKET INFLUENCE, COMPETITIVE CONDITIONS, REGULATIONS . . 149 4.2
DATA BASIS 149
4.3 CONVERGENCE AND SYSTEM COMPLEXITY 150
4.4 PLANNING PROCESSES AND PLANNING TOOLS 150
4.5 COLLABORATION BETWEEN INDUSTRY AND SCIENCE, ENGINEERS AND
MATHEMATICIANS 151
4.6 SELECTED CHALLENGES 151
5 WHAT HAS TO BE DONE? PROPOSALS AND INITIATIVES 154
5.1 EDUCATION 154
5.2 ECONOMY 155
5.3 RESEARCH PROPOSAL 155
REFERENCES 156
MATHEMATICS IN WIRELESS COMMUNICATIONS 157
HOLGER BOCHE AND ANDREAS EISENBLAETTER 1 EXECUTIVE SUMMARY 157
2 SUCCESS STORIES 158
2.1 MOBILE COMMUNICATIONS NEEDS MATHEMATICS 159 2.2 THE FOUNDATIONS OF
COMMUNICATIONS THEORY 159
2.3 KEY TECHNOLOGIES 161
2.4 OPTIMIZATION OF GSM NETWORKS 162
3 KNOWLEDGE BRINGS PROGRESS 163
3.1 OPTIMIZED RESOURCE ALLOCATION IN CELLULAR RADIO NETWORKS 164 3.2
CONTROLLING TRANSMISSION POWER 165
3.3 AXIOMATICS FOR INTERFERENCE LIMITED RADIO SYSTEMS . . . 167 3.4
CAPACITY PLANNING FOR UMTS RADIO NETWORKS 170
3.5 HARDWARE DEVELOPMENT 170
4 REINFORCING COLLABORATION 172
4.1 INTERDISCIPLINARY COLLABORATION 172
4.2 INTERNATIONAL COLLABORATION 173
4.3 TRANSFER 173
4.4 SPONSORING RESEARCH FROM YOUNG TALENT 174
5 PROSPECTS 174
5.1 INFORMATION THEORY AND THE DIGITAL WORLD 174
5.2 NETWORK INFORMATION THEORY 175
5.3 QUANTUM INFORMATION THEORY 175
5.4 NEW APPROACHES TO FREQUENCY USE 176
5.5 SELF-ORGANIZING NETWORKS 176
REFERENCES 177
IMAGE 5
CONTENTS XI
MATHEMATICS OF CHIP DESIGN 179
JUERGEN KOEHL, BERNHARD KORTE, AND JENS VYGEN 1 EXECUTIVE SUMMARY 179
2 SUCCESS STORIES 181
3 STATUS QUO IN CHIP DESIGN 190
3.1 PLACEMENT 194
3.2 TIMING OPTIMIZATION 197
3.3 ROUTING 202
4 ANALYSIS OF STRENGTHS / WEAKNESSES, CHALLENGES 204
5 VISIONS OF, AND RECOMMENDATIONS FOR THE FUTURE 205
REFERENCES 206
MATERIALS AND MECHANICS
CHANCES AND VISIONS OF ADVANCED MECHANICS 209
WOLFGANG EHLERS AND PETER WRIGGERS 1 EXECUTIVE SUMMARY 209
2 SUCCESS STORIES 210
2.1 CONTINUUM MECHANICS OF MULTI-FIELD AND MULTI-PHYSICAL MATERIALS 210
2.2 SIMULATION TECHNIQUES FOR THE DESCRIPTION OF HETEROGENEOUS MATERIALS
(MULTI-SCALE MODELLING) . . . 214 3 SYNOPSIS AND STATUS QUO 220
3.1 FACTS 220
3.2 SUMMARY 225
4 STRENGTHS-WEAKNESSES ANALYSIS, CHALLENGES 225
4.1 BASIS AND VISIONS 225
4.2 HOW DOES MATHEMATICS COME INTO PLAY? 227
4.3 STRENGTHS, WEAKNESSES AND CHALLENGES 228
5 RECOMMENDATIONS ON POSSIBLE ACTIONS 229
REFERENCES 230
MATHEMATICS FOR MACHINE TOOLS AND FACTORY AUTOMATION 231 BEREND DENKENA,
DIETMAR HOMBERG, AND ECKART UHLMANN 1 EXECUTIVE SUMMARY 231
2 SUCCESS STORIES 232
2.1 MATHEMATICS FOR THE DEVELOPMENT OF NEW MACHINE CONCEPTS: PARALLEL
KINEMATICS 232
2.2 MATHEMATICS FOR THE LAYOUT OF MACHINE TOOLS: CUTTING PROCESSES 233
3 MATHEMATICAL CONCEPTS IN PRODUCTION ENGINEERING 235
3.1 MODELING OF PROCESS CHAINS 235
3.2 ADAPTIVE NUMERICS 237
3.3 OPTIMAL CONTROL 238
IMAGE 6
XII CONTENTS
4 CHALLENGES 240
4.1 INTERACTION BETWEEN STRUCTURE AND PROCESS 240
4.2 INTERACTIONS IN MILLING 242
4.3 RECONFIGURATION OF PRODUCTION FACILITIES 244
5 PERSPECTIVES 245
REFERENCES 246
PRODUCTION AND USE OF NOVEL MATERIALS 249
WOLFGANG DREYER 1 EXECUTIVE SUMMARY 249
2 SUCCESS STORIES 250
3 STATUS QUO 259
4 ANALYSIS OF STRENGTHS/WEAKNESSES, CHALLENGES 260
5 VISIONS AND RECOMMENDATIONS 261
REFERENCES 261
TOPOLOGY AND DYNAMIC NETWORKS: OPTIMIZATION WITH APPLICATION IN FUTURE
TECHNOLOGIES 263
GUENTER LEUGERING, ALEXANDER MARTIN, AND MICHAEL STINGL 1 EXECUTIVE
SUMMARY 263
2 FROM PROPERTIES TO OPTIMAL STRUCTURES 264
3 SUCCESS STORY: STRUCTURE-, TOPOLOGY- AND MATERIAL-OPTIMIZATION . . 268
3.1 RESUME/RECOMMENDATIONS 270
4 OPTIMIZATION OF TRANSPORTATION NETWORKS 270
4.1 RESUME/RECOMMENDATIONS 274
REFERENCES 275
ENERGY AND STRUCTURAL ENGINEERING
CAPACITY PLANNING AND SCHEDULING IN ELECTRICAL POWER SYSTEMS AND IN
CHEMICAL AND METALLURGICAL PRODUCTION PLANTS 279 SEBASTIAN ENGELL,
EDMUND HANDSCHIN, CHRISTIAN REHTANZ, AND RUEDIGER SCHULTZ
1 EXECUTIVE SUMMARY 279
2 SUCCESS STORIES 281
2.1 SUPPLY AND DISTRIBUTION OF ELECTRICAL POWER 281
2.2 CAPACITY PLANNING AND SCHEDULING IN CHEMICAL AND METALLURGICAL
PRODUCTION 284
3 STATUS QUO 287
3.1 POWER SUPPLY 287
3.2 CHEMICAL AND METALLURGICAL PRODUCTION PROCESSES 291 3.3 MATHEMATICAL
METHODS 293
4 PERSPECTIVES AND CHALLENGES 295
4.1 POWER SUPPLY 295
4.2 CHEMICAL PRODUCTION PROCESSES 299
IMAGE 7
CONTENTS XIII
4.3 MATHEMATICAL METHODS 300
5 VISIONS AND RECOMMENDED COURSES OF ACTION 302
REFERENCES 303
SIMULATION-BASED OPTIMIZATION IN STRUCTURAL ENGINEERING-NEW CONCEPTS
FROM COMPUTER SCIENCE 307
DIETRICH HARTMANN, MATTHIAS BAITSCH, AND VAN VINH NGUYEN 1 EXECUTIVE
SUMMARY 307
2 SUCCESS STORIES 308
3 OPTIMIZATION OF NON-STANDARD PROBLEMS WITH MULTI-AGENT SYSTEMS (MAS):
THE STATUS QUO 318
3.1 AGENT SYSTEMS 318
3.2 STRATEGY NETWORKS 319
4 STRONG POINTS, WEAK POINTS AND CHALLENGES 323
4.1 PRACTICAL ASPECTS 323
4.2 NEW OPTIMIZATION STRATEGIES/ALGORITHMS 324
4.3 EXTENSION OF MATHEMATICAL FUNDAMENTALS FOR ENGINEERS . . 324 5
VISIONS AND COURSES OF ACTION 325
REFERENCES 326
OBJECT-ORIENTED MODELLING FOR SIMULATION AND CONTROL OF ENERGY
TRANSFORMATION PROCESSES 327
DIRK ABEL 1 INTRODUCTION AND OVERVIEW 327
2 APPLICATION IN POWER PLANT DOMAIN: PROJECT OXYCOAL-AC . . 328 2.1
GOALS AND REQUIREMENTS 328
2.2 OBJECT-ORIENTED MODELLING OF POWER PLANT PROCESSES . . . 329 2.3
OBJECT-ORIENTED MODELLING OF THE OXYCOAL POWER PLANT . . 330 2.4 RESULTS
334
2.5 CONCLUSIONS 335
3 APPLICATION IN THE FIELD OF COMBUSTION ENGINES 336
3.1 MODEL-BASED CONTROL OF COMBUSTION ENGINES 336
3.2 STRUCTURE OF THE CONTROL PATH 337
3.3 COMPARISON OF OBJECT-ORIENTED AND SIGNAL-ORIENTED MODELLING ON THE
EXAMPLE OF AIR PATH COMPONENTS . . . 338 3.4 CONCLUSIONS 342
4 SUMMARY 343
REFERENCES 343
DESIGN TOOLS FOR ENERGY EFFICIENT ARCHITECTURE 345
DIRK MUELLER 1 EXECUTIVE SUMMARY 345
2 DEVELOPMENT OF A NOVEL COOLING SYSTEM BY MEANS OF A THERMOHYDRAULIC
BUILDING SIMULATION 346
2.1 APPLICATION OF THE OBJECT-ORIENTED PROGRAMMING LANGUAGE MODELICA 347
IMAGE 8
CONTENTS
2.2 EXTENSION OF A COMPLEX SIMULATION MODEL 347
2.3 RESULTS OF THE CALCULATIONS 349
3 STRENGTHS AND WEAKNESSES ANALYSIS, CHALLENGES 351
4 VISIONS AND RECOMMENDED ACTIONS 352
REFERENCES 352
MEDICINE
MORE MATHEMATICS INTO MEDICINE! 357
PETER DEUFLHARD, OLAF DOESSEL, ALFRED K. LOUIS, AND STEFAN ZACHOW 1
EXECUTIVE SUMMARY 357
2 MATHEMATICS IN MEDICAL IMAGING 358
2.1 HISTORY OF A SUCCESS 358
2.2 MATHEMATICS AS INNOVATION FACTOR 361
2.3 PERSPECTIVE: NEW IMAGING METHODS 361
3 MATHEMATICS IN CARDIOLOGY AND CARDIAL SURGERY 365
3.1 SUCCESS STORIES: ECG AND BIOSIGNAL PROCESSING 365 3.2 MATHEMATICS AS
INNOVATION FACTOR 366
3.3 PERSPECTIVE: THE VIRTUAL HEART 367
4 MATHEMATICS IN THERAPY AND OPERATION PLANNING 370
4.1 SUCCESS STORY: CMF SURGERY 370
4.2 MATHEMATICS AS INNOVATION FACTOR 371
4.3 PERSPECTIVE: THE VIRTUAL PATIENT 376
5 VISION AND OPTIONS 377
REFERENCES 377
COMPOUNDS, DRUGS AND MATHEMATICAL IMAGE PROCESSING 379 GUENTER J. BAUER,
DIRK A. LORENZ, PETER MAASS, HARTWIG PRECKEL, AND DENNIS TREDE 1
EXECUTIVE SUMMARY: FROM THE IMAGE TO THE DRUG 379
2 SUCCESS STORIES 381
2.1 AUTOMATED ANALYSIS OF CELL IMAGES IN THE HIGH-CONTENT,
HIGH-THROUGHPUT SCREENING 383
2.2 STATISTICAL EVALUATION OF THE DATA 384
3 STATUS QUO: MATHEMATICAL METHODS FOR THE HIGH-CONTENT, HIGH-THROUGHPUT
ANALYSIS 386
3.1 PARAMETER OPTIMIZATION AND INVERSE PROBLEMS 386 3.2 ENHANCED CELL
SEGMENTATION 388
4 STRENGTHS AND WEAKNESSES ANALYSIS: THE DISCIPLINARY THINKING DILEMMA
389
5 VISIONS AND POLICY RECOMMENDATIONS 390
5.1 TANGIBLE CHALLENGES 390
5.2 COOPERATION 391
REFERENCES 391
CONTRIBUTORS 393 |
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| publisher | Springer |
| record_format | marc |
| spelling | Produktionsfaktor Mathematik Production factor mathematics Martin Grötschel ... (eds.) Berlin [u.a.] Springer 2010 XIV, 402 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Angewandte Mathematik (DE-588)4142443-8 s DE-604 Grötschel, Martin 1948- (DE-588)108975282 edt text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3423837&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020198961&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Production factor mathematics Angewandte Mathematik (DE-588)4142443-8 gnd |
| subject_GND | (DE-588)4142443-8 (DE-588)4143413-4 |
| title | Production factor mathematics |
| title_alt | Produktionsfaktor Mathematik |
| title_auth | Production factor mathematics |
| title_exact_search | Production factor mathematics |
| title_full | Production factor mathematics Martin Grötschel ... (eds.) |
| title_fullStr | Production factor mathematics Martin Grötschel ... (eds.) |
| title_full_unstemmed | Production factor mathematics Martin Grötschel ... (eds.) |
| title_short | Production factor mathematics |
| title_sort | production factor mathematics |
| topic | Angewandte Mathematik (DE-588)4142443-8 gnd |
| topic_facet | Angewandte Mathematik Aufsatzsammlung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3423837&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020198961&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | UT produktionsfaktormathematik AT grotschelmartin productionfactormathematics |