Module 1
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Introduction and Optimization
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Lecture-1
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Introduction
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Lecture-2
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Definitions and types of systems
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Lecture-3
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Optimization: Functions of a single variable
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Lecture-4
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Optimization: Functions of multiple variables
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Lecture-5
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Constrained optimization (1)
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Lecture-6
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Constrained optimization (2)
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Lecture-7
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Kuhn-Tucker conditions and Introduction to Linear Programming
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Module 2
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Linear Programming
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Lecture-8
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Linear Programming: Graphical method
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Lecture-9
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Linear Programming: Simplex method (1)
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Lecture-10
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Linear Programming: Simplex method (2)
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Lecture-11
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Linear Programming: Multiple solutions
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Lecture-12
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Linear Programming: Unbounded and infeasible problems
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Lecture-13
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Linear Programming: Dual problem
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Module 3
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Dynamic Programming
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Lecture-14
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Introduction to Dynamic Programming
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Lecture-15
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Dynamic Programming: Water allocation problem
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Lecture-16
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Dynamic Programming: Reservoir operation problem
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Lecture-17
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Dynamic Programming: Capacity expansion and shortest route problems
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Module 4
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Simulation and Multi-Objective Planning
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Lecture-18
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Simulation: Introduction to Multi-objective planning
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Lecture-19
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Multi-objective planning
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Module 5
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Reservoir Systems – Deterministic inflows
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Lecture-20
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Reservoir sizing
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Lecture-21
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Reservoir capacity using Linear Programming (1)
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Lecture-22
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Reservoir capacity using Linear Programming (2)
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Lecture-23
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Reservoir operation
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Lecture-24
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Multi-reservoir systems
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Lecture-25
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Stationary policy using Dynamic Programming
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Lecture-26
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Hydropower generation
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Module 6
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Reservoir Systems – Random inflows
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Lecture-27
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Basic probability theory (1)
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Lecture-28
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Basic probability theory (2)
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Lecture-29
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Chance constrained Linear Programming for reservoir operation and design (1)
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Lecture-30
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Chance constrained Linear Programming for reservoir operation and design (2)
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Lecture-31
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Stochastic Dynamic Programming for reservoir operation (1)
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Lecture-32
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Stochastic Dynamic Programming for reservoir operation (2)
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Lecture-33
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Stochastic Dynamic Programming for reservoir operation (3)
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Module 7
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Fuzzy Optimization
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Lecture-34
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Fuzzy optimization (1)
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Lecture-35
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Fuzzy optimization (2)
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Lecture-36
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Fuzzy optimization for water quality control and reservoir operation
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Module 8
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Model Formulations and Case Studies
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Lecture-37
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Conjunctive use of ground and surface water
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Lecture-38
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Hydropower optimization
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Lecture-39
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Crop yield optimization
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Lecture-40
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Multi-basin and multi-reservoir systems
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