Water Resource Systems

Lecture Notes

 

LEC #

TOPICS

SUPPORTING FILES

Introduction, Optimization Concepts

1

Introduction (PDF)

Example: Irrigation and Salination

irrigation.m (M)

2

Linear Algebra Review (PDF)

3

General Optimization Concepts (PDF)

4

General Optimization Concepts (cont.) (PDF)

5

Optimality Conditions (PDF)

6

Optimality Conditions (cont.)

Optimization Methods

7

Linear Programming Overview (PDF)

8

Duality, Linear Programming Solution Strategies

9

Linear Programming Sensitivity Analysis (PDF)

10

Quadratic Programming

11

Differential Constraints (PDF)

12

Nonlinear Programming Algorithms (PDF)

13

Nonlinear Programming Algorithms (cont.)

Economic Aspects

14

Optimization over Time, Discounting (PDF)

15

Multiobjective Optimization, Utility, Risk Aversion (PDF)

16

Supply and Demand, Groundwater Management (PDF)

Water Resource Applications/Case Studies

17

River Basin Planning - Screening (PDF)

18

River Basin Planning - Simulation

19

Real-time Optimization, Dynamic Programming (PDF)

20

Real-time Optimization, Dynamic Programming (cont.)

21

Capacity Expansion (PDF)

Lecture06_21.m (M)

22

Common Pool Problems

23

Variational and Adjoint Methods, Data Assimilation (PDF)

24

Review

25

Project Presentations

26

Project Presentations (cont.)

Assignments

The following assignments were given over the course of the semester. The homework assignments were done in the first half of the semester, while the second half was spent working on the project.

Student Survey (PDF)

Problem Set 1 (PDF)

Problem Set 2 (PDF)

Problem Set 3 (PDF)

Problem Set 4 (PDF)

Suggested Project Topics (PDF)