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1.731 |
Water Resource
Systems
Spring 2003 Syllabus |
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This subject is concerned with
quantitative methods for analyzing large-scale water resource problems.
Topics covered include the design and management of facilities such as
irrigation areas, water treatment plants, and networks of reservoirs and
associated canals. Simulation models and optimization methods are often
used to support analyses of water resource problems. In this subject
we will be constructing simulation models with the
MATLAB programming language
and solving numerical optimization problems with the
GAMS optimzation package. It is
desirable for students taking this subject to have some background in
hydrology, linear algebra and programming, although these are not strict
prerequisites.
Class periods will generally
be divided into 40 minutes of lecture and 40 minutes of related hands-on
computer work using laptops available in the classroom.
There will be two in-class
exams. Homework will vary in complexity from straightforward problem
sets to mini-projects which resemble real-world applications. The grade
will be based on exams (60%) and homework (40%). A detailed schedule is
provided below. |
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Introduction,
Modeling, and Simulation |
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No. |
Date |
Topic and links for
examples |
PS |
PS links |
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6 |
Feb. 25 |
Formulation of
Optimization Problems I
Introduction to GAMS
transprt.gms |
PS2 in,
PS3 out |
PS3&Solutions
Word
PDF |
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7 |
Feb. 27 |
Formulation of
Optimization Problems II
convexity.m |
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8 |
Mar. 4 |
Optimality conditions
I
Example applying optimality
conditions
optimality.gms |
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9 |
Mar. 6 |
Optimality conditions
II
Continuation of example
yield.gms |
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10 |
Mar. 11 |
Quantifying
optimization objectives; Present value and amortization,
Multiobjective optimization, parametric analysis
pareto.gms |
PS3 in
PS4 out |
PS4&Solutions
Word
PDF |
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11 |
Mar. 13 |
Introduction to
stochastic optimization; Incorporating uncertainty
pareto.gms |
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12 |
Mar. 18 |
Expected utility and
risk aversion, Utility and multiobjective optimization
Review for Quiz 1 |
PS4 in |
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13 |
Mar. 20 |
Quiz 1 |
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Optimization
Algorithms and Applications |
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No. |
Date |
Topic and links for
examples |
PS |
PS links |
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14 |
April 1 |
Linear programming
concepts and terminology
GAMS examples |
PS5 out |
PS5&Solutions
Word
PDF |
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15 |
April 3 |
Solving linear
programming problems
GAMS examples |
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16 |
April 8 |
Shadow prices and
sensitivity analysis
GAMS examples |
PS5 in
PS6 out |
PS6&Solutions
Word
PDF |
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17 |
April 10 |
Case Study: River
Basin Planning |
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18 |
April 15 |
Nonlinear programming
GAMS examples |
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19 |
April 17 |
Incorporating
simulation models into optimization algorithms
MATLAB implementation |
PS6 in
PS7 out |
PS7&Solutions
Word
PDF |
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20 |
April 24 |
Case Study: Optimal
management of irrigated agriculture |
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21 |
TBA |
Dynamic programming I
MATLAB implementation |
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22 |
May 1 |
Dynamic programming II
MATLAB implementation |
PS7 in,
PS8 out |
PS8&Solutions
Word
PDF |
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23 |
May 6 |
Case Study: Capacity
expansion |
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24 |
May 8 |
Stochastic dynamic
programming |
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25 |
May 13 |
Case Study: Evaluating
infrastructure options in Thailand |
PS8 in |
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26 |
May 15 |
Quiz 2 |
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Copyright 2003 Massachusetts Institute
of Technology
Last modified Feb. 16, 2003
dennism |
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نوشته توسط
موسوی در تاريخ چهارشنبه 4 شهریور1388
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