Module

Sub-Module

Hours for Sub-Module

Total
Hours

1. Introduction and Basic Concepts

Introduction, System Components, Planning and management

1

3

Concept of a system, Advantages and limitations of systems approach, Modeling of Water Resources Systems

1

Simulation and optimization, Economics in water resources, Challenges in water sector

1

2. Introduction to Optimization

Objective function, Maxima, minima and saddle points, convex and concave functions

1

3

Constrained and unconstrained optimization using calculus

1

Lagrange multipliers, Kuhn-Tucker conditions.

1

3. Linear Programming and Applications

General form of LP, Standard and Canonical forms of LP, Elementary transformations

1

6

Graphical method, Feasible and infeasible solutions

1

Simplex method, Dual and sensitivity analysis

2

LP problem formulation, Reservoir sizing and Reservoir operation using LP

2

4. Dynamic Programming and Applications

Introduction, multistage decision problem, Recursive Equations, Principle of optimality, Discrete DP, Curse of Dimensionality

1

5

Water allocation problem

2

Capacity expansion problem

1

Reservoir operation

1

Multipurpose reservoir operation

1

5. Multi-objective Optimization

Introduction, Non-inferior solutions, Trade-off analysis, Pareto optimal solutions

1

3

Multipurpose reservoir operation

1

Weighted and constraint methods, Other methods.

1

6. Stochastic Optimization

Review of probability theory

1

6

Uncertainty and reliability analysis

1

Chance constrained LP (CCLP), CCLP for reservoir operation

2

Stochastic DP with applications to reservoir operation

2

7. Simulation

Introduction, River basin simulation

1

3

Reservoir operation simulation

1

Performance evaluation - Reliability, Resiliency and Vulnerability, Some simulation models

1

8. Water Resources Systems Modeling

River basin planning and management

1

6

Water distribution systems

1

Groundwater systems

1

Water quality modeling

1

Floodplain management

1

Urban storm water management

1

9. Advanced Topics

Fuzzy optimization

1

5

Genetic algorithms

1

Multi criteria decision making

1

Decision Support Systems

1

Expert Systems

1

Total:

40