V. V. Ivanishchev and A. D. Krasnoshchekov

Control of Variable Structure Networks, 1987, 156 pp., ISBN 0-911575-05-7, $64.00

Treats modeling and optimization problems of Variable Structure Networks such as Transportation Systems; construction of Hierarchical models; Routing problems; Heuristic algorithms for optimization of multilayered networks. Theory is illustrated by application to a waterway transportation system.
 


TABLE OF CONTENTS

Introduction ..... ix
 


CHAPTER 1. HIERARCHICAL STRUCTURE OF CONTROL MODELS
OF TRAFFIC FLOWS OF DISCRETE UNITS ON A NETWORK ..... 1

1. Variable Structure Networks: Examples ..... 1

2. Hierarchy of Control Models for a Variable Structure Network ..... 6
 


CHAPTER 2. THE NETWORK STRUCTURE MODEL ..... 17

3. Construction of the Set of Elementary Circuits of the Network Structure Model ..... 17

4. The Basic System of Model Constraints ..... 25

5. Traffic Flows of Units on the Network in the Model M ..... 28

6. Connectivity of the Solution Layers in the Model M ..... 39
 


CHAPTER 3. NETWORK SIMULATION MODELS ..... 53

7. Interpretation of the Network Flow Model in Terms of Simulation Models ..... 55

8. Simulation Algorithm Structure ..... 63
 


CHAPTER 4. PRINCIPLES OF OPTIMIZATION BASED
ON SIMULATION MODELS ..... 79

9. Solvers of Optimization Problems ..... 80

10. One-Step Optimization Problem of the Terminal State on the Network ..... 85

11. Heuristic Optimization Procedure Using a Simulation Model of a Multilayered Network ..... 104
 

Bibliography ..... 129

Index ..... 133
 

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