DYNAMIC SYSTEMS AND SIMULATION
LABORATORY

Department of Production Engineering & Management

Technical University of Crete

 

by

MAGDALENE MARINAKI and MARKOS PAPAGEORGIOU

INTERNAL REPORT No: 1995-5

Chania, Greece
November 1995

CONTENTS

1. INTRODUCTION

2. OPTIMAL CONTROL PROBLEM FORMULATION

2.1. Mathematical Model and Constraints

2.1.1. Reservoirs
2.1.2. Summation Locations
2.1.3. External Inflows
2.1.4. Link Elements
2.1.5. Treatment Plant
2.1.6. Integrated Network Model

2.2. Performance criterion
2.3. Problem Formulation

3. APPLICATION EXAMPLE

3.1. Application Network
3.2. External Inflows
3.3. Performance criterion

4. RESULTS

4.1. Methodological Comparisons

4.1.1. Comparison of Optimization Approaches
4.1.2. Comparison of Search Direction Methods

4.2. Optimal Control and State Trajectories
4.3. Competitive Behaviour of Subgoals ö1 and ö3

5. CONCLUSIONS

REFERENCES