Water Resource Systems
Lecture Notes
LEC # |
TOPICS |
SUPPORTING FILES |
Introduction, Optimization Concepts |
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1 |
Introduction (PDF) Example: Irrigation and Salination |
irrigation.m (M) |
2 |
Linear Algebra Review (PDF) |
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3 |
General Optimization Concepts (PDF) |
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4 |
General Optimization Concepts (cont.) (PDF) |
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5 |
Optimality Conditions (PDF) |
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6 |
Optimality Conditions (cont.) |
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Optimization Methods |
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7 |
Linear Programming Overview (PDF) |
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8 |
Duality, Linear Programming Solution Strategies |
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9 |
Linear Programming Sensitivity Analysis (PDF) |
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10 |
Quadratic Programming |
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11 |
Differential Constraints (PDF) |
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12 |
Nonlinear Programming Algorithms (PDF) |
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13 |
Nonlinear Programming Algorithms (cont.) |
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Economic Aspects |
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14 |
Optimization over Time, Discounting (PDF) |
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15 |
Multiobjective Optimization, Utility, Risk Aversion (PDF) |
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16 |
Supply and Demand, Groundwater Management (PDF) |
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Water Resource Applications/Case Studies |
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17 |
River Basin Planning - Screening (PDF) |
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18 |
River Basin Planning - Simulation |
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19 |
Real-time Optimization, Dynamic Programming (PDF) |
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20 |
Real-time Optimization, Dynamic Programming (cont.) |
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21 |
Capacity Expansion (PDF) |
Lecture06_21.m (M) |
22 |
Common Pool Problems |
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23 |
Variational and Adjoint Methods, Data Assimilation (PDF) |
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24 |
Review |
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25 |
Project Presentations |
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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)