Modeling of Complex Systems (eBook)

An Introduction

V. Vemuri (Autor)

J. William Schmidt (Herausgeber)

eBook Download: PDF

2014 | 1. Auflage
464 Seiten
Elsevier Science (Verlag)
978-1-4832-6752-4 (ISBN)

Infos

Modeling of Complex Systems: An Introduction describes the framework of complex systems. This book discusses the language of system theory, taxonomy of system concepts, steps in model building, and establishing relations using physical laws. The statistical attributes of data, generation of random numbers fundamental problems of recognition, and input-output type models are also elaborated. This text likewise covers the optimization with equality constraints, transfer function models, and competition among species. This publication is written primarily for senior undergraduate students and beginning graduate students who are interested in an interdisciplinary or multidisciplinary approach to large-scale or complex problems of contemporary societal interest.

Inhalt

Front Cover 1
Modeling of Complex Systems: An Introduction 4
Copyright Page 5
Table of Contents 8
Dedication 6
Preface 12
Acknowledgments 14
Suggestions for Term Projects 16
Chapter 1. An Approach to the Problem 18
INTRODUCTION 18
1 WHAT ARE LARGE-SCALE SYSTEMS? 19
2 HOW TO HANDLE COMPLEX SYSTEMS 26
3 ISSUES AT LARGE 32
EXERCISES 39
SUGGESTIONS FOR FURTHER READING 40
Chapter 2. Language of System Theory 42
INTRODUCTION 42
1 GOALS, OBJECTIVES, AND INDICATORS 43
2 ATTRIBUTES AND RESOLUTION LEVELS 55
3 SYSTEMS MEASUREMENT 59
4 THE TAXONOMY OF SYSTEM CONCEPTS 70
EXERCISES 81
SUGGESTIONS FOR FURTHER READING 82
Chapter 3. The Modeling Process 84
INTRODUCTION 84
1 TAXONOMY OF MODEL TYPES 85
2 STEPS IN MODEL BUILDING 93
3 SIMULATION 100
4 ALGORITHMS AND HEURISTICS 105
5 SIMULATION LANGUAGES 121
EXERCISES 125
SUGGESTIONS FOR FURTHER READING 126
Chapter 4. Primitive Models 128
INTRODUCTION 128
1 ESTABLISHING RELATIONS USING PHYSICAL LAWS 129
2 ESTABLISHING RELATIONS VIA CURVE FITTING 130
3 MORE COMPLEX PARAMETER ESTIMATION PROBLEMS 141
4 ELEMENTARY STATE TRANSITION MODELS 149
EXERCISES 154
SUGGESTIONS FOR FURTHER READING 157
Chapter 5. Forecasting 158
INTRODUCTION 158
1 THE NATURE OF DATA 158
2 STATISTICAL ATTRIBUTES OF DATA 161
3 PROBABILITY DISTRIBUTIONS AND THEIR UNDERLYING MECHANISMS 165
4 GENERATION OF RANDOM NUMBERS 174
5 TIME SERIES 177
6 A MODEL FOR GENERATING RIVER FLOW DATA 182
EXERCISES 192
SUGGESTIONS FOR FURTHER READING 193
Chapter 6. Recognition of Patterns 195
INTRODUCTION 195
1 FUNDAMENTAL PROBLEMS OF RECOGNITION 195
2 NEIGHBORHOODS AND DISTANCES 198
3 A HIERARCHICAL APPROACH TO CLUSTERING 204
4 NONHIERARCHICAL APPROACHES TO CLUSTERING 209
5 INDIVIDUAL AND GROUP PREFERENCE PATTERNS 215
EXERCISES 221
SUGGESTIONS FOR FURTHER READING 222
Chapter 7. Static Equilibrium Models 224
INTRODUCTION 224
1 GRAPHICAL MODELS AND MATRIX MODELS 225
2 PATTERNS OF GROUP STRUCTURE 235
3 INPUT-OUTPUT TYPE MODELS 241
4 DECOMPOSITION OF LARGE SYSTEMS 250
5 ROUTING PROBLEMS 256
EXERCISES 267
SUGGESTIONS FOR FURTHER READING 270
Chapter 8. Analysis of Competitive Situations 272
INTRODUCTION 272
1 ELEMENTARY IDEAS ABOUT OPTIMIZATION 273
2 OPTIMIZATION WITH EQUALITY CONSTRAINTS 279
3 PROBLEMS WITH INEQUALITY CONSTRAINTS 282
4 THE LINEAR PROGRAMMING MODEL 290
5 THE SIMPLEX ALGORITHM 297
6 DUALITY IN LINEAR PROGRAMMING MODELS 302
7 DYNAMIC PLANNING WITH LINEAR PROGRAMMING 305
EXERCISES 313
SUGGESTIONS FOR FURTHER READING 317
Chapter 9. Linear Dynamical Structure 318
INTRODUCTION 318
1 PICTORIAL REPRESENTATION OF SYSTEM STRUCTURE 319
2 TRANSFER FUNCTION MODELS 331
3 THE BEHAVIOR OF SYSTEMS: STABILITY 345
4 STATE SPACE MODELS 351
5 SYSTEM CONTROL 359
6 OPTIMUM CONTROL OF RIVER POLLUTION 366
EXERCISES 371
SUGGESTIONS FOR FURTHER READING 375
Chapter 10. Growth and Decay Processes 376
INTRODUCTION 376
1 DISCRETE GROWTH PROCESSES 377
2 CONTINUOUS GROWTH 380
3 LIMITS TO GROWTH 385
4 COMPETITION AMONG SPECIES 389
5 GROWTH PROCESSES AND INTEGRAL EQUATIONS 401
6 THE DISCRETE EVENT APPROACH 406
7 POPULATION PLANNING 407
EXERCISES 415
SUGGESTIONS FOR FURTHER READING 418
Appendixes 420
Appendix 1: Sets and Relations 422
Appendix 2: Elements of Probability 429
Appendix 3: Elements of Matrix Methods 434
Appendix 4: Differential Equations 449
Index 460

Produkt-Details

• Erscheint lt. Verlag: 10.5.2014
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Naturwissenschaften
• Themenwelt: Technik ► Maschinenbau
• Themenwelt: Wirtschaft ► Betriebswirtschaft / Management ► Planung / Organisation
• ISBN-10: 1-4832-6752-0 / 1483267520
• ISBN-13: 978-1-4832-6752-4 / 9781483267524