Modeling of Complex Systems
An Introduction
- 1st Edition - January 28, 1978
- Imprint: Academic Press
- Author: V. Vemuri
- Editor: J. William Schmidt
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 4 7 9 4 - 6
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 6 7 5 2 - 4
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… Read more
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Request a sales quoteModeling 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.
PrefaceAcknowledgmentsSuggestions for Term Projects1 An Approach to the Problem Introduction 1 What Are Large-Scale Systems? 2 How to Handle Complex Systems 3 Issues at Large Exercises Suggestions for Further Reading2 Language of System Theory Introduction 1 Goals, Objectives, and Indicators 2 Attributes and Resolution Levels 3 Systems Measurement 4 The Taxonomy of System Concepts Exercises Suggestions for Further Reading3 The Modeling Process Introduction 1 Taxonomy of Model Types 2 Steps in Model Building 3 Simulation 4 Algorithms and Heuristics 5 Simulation Languages Exercises Suggestions for Further Reading4 Primitive Models Introduction 1 Establishing Relations Using Physical Laws 2 Establishing Relations via Curve Fitting 3 More Complex Parameter Estimation Problems 4 Elementary State Transition Models Exercises Suggestions for Further Reading5 Forecasting Introduction 141 1 The Nature of Data 2 Statistical Attributes of Data 3 Probability Distributions and Their Underlying Mechanisms 4 Generation of Random Numbers 5 Time Series 6 A Model for Generating River Flow Data Exercises Suggestions for Further Reading6 Recognition off Patterns Introduction 1 Fundamental Problems of Recognition 2 Neighborhoods and Distances 3 A Hierarchical Approach to Clustering 4 Nonhierarchical Approaches to Clustering 5 Individual and Group Preference Patterns Exercises Suggestions for Further Reading7 Static Equilibrium Models Introduction 1 Graphical Models and Matrix Models 2 Patterns of Group Structure 3 Input-Output Type Models 4 Decomposition of Large Systems 5 Routing Problems Exercises Suggestions for Further Reading8 Analysis of Competitive Situations Introduction 1 Elementary Ideas About Optimization 2 Optimization with Equality Constraints 3 Problems with Inequality Constraints 4 The Linear Programming Model 5 The Simplex Algorithm 6 Duality in Linear Programming Models 7 Dynamic Planning with Linear Programming Exercises Suggestions for Further Reading9 Linear Dynamical Structure Introduction 1 Pictorial Representation of System Structure 2 Transfer Function Models 3 The Behavior of Systems: Stability 4 State Space Models 5 System Control 6 Optimum Control of River Pollution Exercises Suggestions for Further Reading10 Growth and Decay Processes Introduction 1 Discrete Growth Processes 2 Continuous Growth 3 Limits to Growth 4 Competition among Species 5 Growth Processes and Integral Equations 6 The Discrete Event Approach 7 Population Planning Exercises Suggestions for Further ReadingAppendix 1 Sets and Relations Sets and Algebra of Sets Relations Mapping and FunctionsAppendix 2 Elements of Probability Introduction Random Experiments and Sample Spaces Probability Random Variables and Probability DistributionsAppendix 3 Elements of Matrix Methods Introduction Matrix Addition and Multiplication Algebra with Binary Matrices Other Useful Definitions Inversion of a Matrix Eigenvalues and EigenvectorsAppendix 4 Differential Equations Introduction What Are Differential Equations?Index
- Edition: 1
- Published: January 28, 1978
- No. of pages (eBook): 464
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483247946
- eBook ISBN: 9781483267524
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