INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 36
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Stream Water Quality Control Problems
2
Fuzzy Optim
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 2
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
2
3
4
5
Sustainable Water Resource Systems
Sustainable water resource systems are
thos
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 1
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Course Contents
Introduction
Concepts of systems and systems analysis
Optimization w
Transportation Systems Engineering
8. Automated Trac Measurement
Chapter 8
Automated Trac Measurement
8.1
Introduction
This present paper oers a review on some of the latest automated trac data collection technologies. This automated technology briey summ
Transportation Systems Engineering
9. Intrusive Technologies
Chapter 9
Intrusive Technologies
9.1
Introduction
Typical examples of intrusive technologies, their sensor types and installation locations are
shown in Fig. 9:1. The rst types of units (Fig. 9:
Transportation Systems Engineering
2. Fundamental Relations of Trac Flow
Chapter 2
Fundamental Relations of Trac Flow
2.1
Overview
Speed is one of the basic parameters of trac ow and time mean speed and space mean
speed are the two representations of spee
Transportation Systems Engineering
5. Measurement at a Point
Chapter 5
Measurement at a Point
5.1
Introduction
The data required by a trac engineer can mainly be observed on eld rather than at laboratory.
Now the eld studies can be classied into three typ
Transportation Systems Engineering
3. Trac Stream Models
Chapter 3
Trac Stream Models
3.1
Overview
To gure out the exact relationship between the trac parameters, a great deal of research
has been done over the past several decades. The results of these r
Transportation Systems Engineering
7. Measurement along a Length of Road
Chapter 7
Measurement along a Length of Road
7.1
Overview
This is normally used to obtain variations in speed over a stretch of road. Usually the stretch
will be having a length more
Transportation Systems Engineering
1. Fundamental Parameters of Trac Flow
Chapter 1
Fundamental Parameters of Trac
Flow
1.1
Overview
Trac engineering pertains to the analysis of the behavior of trac and to design the facilities
for a smooth, safe and econ
Transportation Systems Engineering
6. Measurement over a Short Section
Chapter 6
Measurement over a Short Section
6.1
Overview
The main purpose of this chapter is to determine trac parameter, specially speed. Speed
measurements are most often taken at a p
Transportation Systems Engineering
4. Moving Observer Method
Chapter 4
Moving Observer Method
4.1
Overview
For a complete description of trac stream modeling, one would require ow, speed, and density.
Obtaining these parameters simultaneously is a dicult
Transportation Systems Engineering
10. Non-Intrusive Technologies
Chapter 10
Non-Intrusive Technologies
10.1
Introduction
Non-intrusive technologies include video data collection, passive or active infrared detectors,
microwave radar detectors, ultrasonic
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 3
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
Summary of the previous lecture
Definition of a system
Types of systems
Simple and c
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 18
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Dynamic programming:
Qt
Reservoir operation proble
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 28
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Reservoir systems Random inflows
Implicit Stochast
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 17
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Reservoir operation problem
t
St
St+1
Qt
St
Rt
Sto
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 20
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Multi-objective optimization
Weighting method
At
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 16
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Water allocation problem
Characteristics of DP
A
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 11
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Algebraic approach for LP solution Simplex algorit
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 19
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Simulation
Reservoir operating policy
Multi rese
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 6
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Constrained optimization
Maximize or Minimize f(X)
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 8
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Function with inequality constraints
Minimize f(X)
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 5
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Optimization of a function of a single variable
nec
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 14
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Dual problem
Formulation of dual problem
Dual pr
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 10
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Motivation for the simplex method
Algebraic appro
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 26
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Stationary Policy Using DP
Year N
Progress of compu
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 12
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Multiple solutions
Non-basic variable in the fina
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 27
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Hydropower Generation
Simulation of reservoir ope
INDIANINSTITUTEOFSCIENCE
Water Resources Systems:
Modeling Techniques and Analysis
Lecture - 7
Course Instructor : Prof. P. P. MUJUMDAR
Department of Civil Engg., IISc.
1
Summary of the previous lecture
Function with equality constraints
Lagrange multipl