Modeling of Complex Systems - 1st Edition - ISBN: 9780127165509, 9781483267524

Modeling of Complex Systems

1st Edition

An Introduction

Authors: V. Vemuri
Editors: J. William Schmidt
eBook ISBN: 9781483267524
Imprint: Academic Press
Published Date: 28th January 1978
Page Count: 464
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Description

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.

Table of Contents


Preface

Acknowledgments

Suggestions for Term Projects

1 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 Reading

2 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 Reading

3 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 Reading

4 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 Reading

5 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 Reading

6 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 Reading

7 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 Reading

8 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 Reading

9 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 Reading

10 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 Reading

Appendix 1 Sets and Relations

Sets and Algebra of Sets

Relations

Mapping and Functions

Appendix 2 Elements of Probability

Introduction

Random Experiments and Sample Spaces

Probability

Random Variables and Probability Distributions

Appendix 3 Elements of Matrix Methods

Introduction

Matrix Addition and Multiplication

Algebra with Binary Matrices

Other Useful Definitions

Inversion of a Matrix

Eigenvalues and Eigenvectors

Appendix 4 Differential Equations

Introduction

What Are Differential Equations?

Index

Details

No. of pages:
464
Language:
English
Copyright:
© Academic Press 1978
Published:
Imprint:
Academic Press
eBook ISBN:
9781483267524

About the Author

V. Vemuri

About the Editor

J. William Schmidt