Learning Outcomes:

• Optimization methods of linear, nonlinear and dynamic programming
• Advanced optimization methods
• Convex and Concave sets
• Theorems of Mathematical Optimization
• The Geometry of the Optimization Problem
• Constrained and unconstrained Optimization Problems
• Simplex method
• Lagrange Multipliers

Upon successful completion of this course the students will acquire new specific skills on the following subjects:

• Ability to understand the kind of the environmental problem
• Ability to describe mathematically the environmental optimization problem
• Ability to apply the suitable optimization method and determine the optimal solution
• Ability to apply the taught methodologies in Water Resources Management
• Ability to design optimal groundwater remediation system
• Ability to design optimal waste-water/saltwater/Sustainable management systems

• Work Autonomously
• Decision making
• Design and Management of Projects

Introduction, Classification of the optimization models, Nonlinear optimization, Convex and Concave sets, Theorems of Mathematical Optimization, The Geometry of the Optimization Problem, Unconstrained Optimization Problems, Lagrange Multipliers, Linear Programming Problems, Simplex method, Nonlinear Programming Problems, Constrained Optimization, Dynamic Programming, applications of optimization methods to Water Resources Management, Design of Groundwater Systems, Optimal Groundwater remediation design, Optimal Saltwater Systems, and Optimal waste-water management systems, Sustainable water resources management.

Use of Information and Communication Technology

Specialized software; E-class support

Assessment Method

Ι. Written final examination (80%).
- Theoretical problems with data to be resolved.

ΙΙ. Project 20(%).

• Μέθοδοι Βελτιστοποίησης Περιβαλλοντικών Συστημάτων, Καρατζάς Γεώργιος, Παπαδοπούλου Μαρία
• Στοιχεία Βελτιστοποίησης, Ευστράτιος Ε. Τζιρτζιλάκης