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1.731

Water Resource Systems

3-0-9 units · Graduate

Surveys optimization and simulation methods for management of water resources. Case studies illustrate linear, quadratic, nonlinear programming and real-time control. Applications include river basin planning, irrigation and agriculture, reservoir operations, capacity expansion, assimilation of remote sensing data, and sustainable resource development. Students taking graduate version complete additional assignments.

Fall 2006

Topics

  • Linear Algebra Review
  • General Optimization Concepts
  • General Optimization Concepts (cont.)
  • Optimality Conditions
  • Optimality Conditions (cont.)
  • Linear Programming Overview
  • Duality, Linear Programming Solution Strategies
  • Linear Programming Sensitivity Analysis
  • Quadratic Programming
  • Differential Constraints
  • Nonlinear Programming Algorithms
  • Nonlinear Programming Algorithms (cont.)
  • Optimization over Time, Discounting
  • Multiobjective Optimization, Utility, Risk Aversion
  • Supply and Demand, Groundwater Management
  • River Basin Planning - Screening
  • River Basin Planning - Simulation
  • Real-time Optimization, Dynamic Programming
  • Real-time Optimization, Dynamic Programming (cont.)
  • Capacity Expansion
  • Common Pool Problems
  • Variational and Adjoint Methods, Data Assimilation
  • Project Presentations
  • Project Presentations (cont.)

Prerequisites & course information

Subject meets with 1.075 Prereq: 1.070B[J] or permission of instructor G (Spring) Not offered regularly; consult department 3-0-9 units

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