Multivariable problem with
equality and inequality
constraints
Rajib Bhattacharjya
Department of Civil Engineering
IIT Guwahati
Email: [email protected]
General formulation
Min/Max
Where = , , , ,
Convention: Throughout this discussion a feasible direction d at a point is by definition taken
to be a nonzero vector, although there is no significant harm even if assumed otherwise. Sometimes
I may
Practise problems 5
1. For a balanced transportation problem of the form given below,
Minimize
cij xij
i
subject to
j
xij = bj ,
j = 1, 2, ., n,
xij = ai ,
i = 1, 2, ., m,
i
subject to
j
with
i ai =
j
Notations: Note that for all the problems aTk denotes the k-th row of A and
ak denotes
the k-th column of A. The uik s have their usual meaning.
ei denotes the i th column of the identity matrix I.
C
Google File
System
20th , 21st March , 2017
by Aneesh Barthakur
Roll No. 140101009
CSE
Introduction
Similar to Relational Databases, Googles proprietary data storage system Bigtable ( which is
manipul
Introduction to Differential Evolution
Rajib Kumar Bhattacharjya
Department of Civil Engineering
Indian Institute of Technology Guwahtai
Differential Evolution
It is a stochastic, population-based opt
Optimization Formulation
An Example
Objectives
Topology: Optimal
connectivity of the
structure
Minimum cost of material:
optimal cross section of all
the members
We will consider the
second objective
Region Elimination Method
Rajib Kumar Bhattacharjya
Department of Civil Engineering
Indian Institute of Technology Guwahati
a
x1
x2
b
a
x1
x2
b
a
X1
X2
b
Interval halving method
a
X1
Xm
X2
b
Interval
Convex Function
Rajib Bhattacharjya
Department of Civil Engineering
IIT Guwahati
CONVEX FUNCTION
CONVEX FUNCTION
CONVEX
CONVEX
CONVEX FUNCTION
A function is said to be convex if for any pair of po
Introduction to Particle
Swarm Optimization
Rajib Kumar Bhattacharjya
Department of Civil Engineering
Indian Institute of Technology Guwahati
Particle Swarm Algorithm
Inspired by social behavior of bi
Linear Problem (LP)
Rajib Bhattacharjya
Department of Civil Engineering
IIT Guwahati
Linear programming
It is an optimization method applicable for the solution of optimization problem
where objective
Class Notes on MapReduce
Lecture 7
3rd April 2017
By Paritosh Mittal
140101048
MapReduce
pg. 1
CS-344 Databases
What is MapReduce?
It is a framework or a programming model that is used for processing