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 Model2.2. 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 Methods4.2. Optimal Control and State Trajectories
4.3. Competitive Behaviour of Subgoals ö1 and ö3
5. CONCLUSIONS
REFERENCES