Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2013
Best Practices in
Knowledge Management
Andy Moore . . . . . . . . . . . . . . . . . . . . . . . . . 2 KM: The World Changer We Love To Hate
I once asked a conference audience: By a show of hands, how many of you work
in organizations that have knowledge m
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
4
LINEAR PROGRAMMING II:
ADDITIONAL TOPICS AND
EXTENSIONS
4.1 INTRODUCTION
If a LP problem involving several variables and constraints is to be solved by
using the simplex method described in Chapter 3, it requires a large amount
of computer storage and t
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
Previous Page
The direct compressive stress (ac) in the column due to the weight of the water
tank is given by
Mg
Mg
bd
XxX2
and the buckling stress for a fixedfree column (ab) is given by [1.71]
_ /VISA _T?EX\
a
bd ~ 48/2
~ yw)
(Efi)
To avoid failure o
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
COURSE: OPTIMIZATION TECHNIQUE AAOC C222
ASSIGNMENT  6
Date of Assignment: 10/11/09
Date of Submission: 27/11/09 (Common Hour)
Maximum marks: 5
Q1. Solve the following by Branch and Bound Algorithm.
Max z = 3x1 4 x 2
s.t.
3x1 x 2 12, 3x1 + 11x 2 66,
x1 ,
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
COURSE: OPTIMIZATION TECHNIQUE AAOC C222
ASSIGNMENT2
Date of Assignment: 11/09/09 Date of Submission 18/8/09 (Common Hour)
Maximum marks: 5
1(a) Why artificial variables are not called slack?
1(b) What is the main objective of PhaseI of the Two Phase Me
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI
SemesterI, 200708 AAOC C222 (Optimization)
Assignment 4
*
Note: Submit handwritten solutions of the assignment to your instructor in tutorial
class (i.e., on 16/11/2007, Friday at 8.0 am) by mentioning y
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
COURSE: OPTIMIZATION TECHNIQUE AAOC C222
ASSIGNMENT1
Date of Assignment: 21/08/09 Date of Submission 28/8/09 (Common Hour)
Maximum marks: 5
Q1. A call center has the following minimal daily requirement for personnel as shown in Table
below. Consider peri
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE, PILANI
I Semester 200708 AAOC C222 (Optimization)
Assignment 3
*
Note: Submit handwritten solutions of the assignment to your instructor on regular class
(i.e. 31/10/2007 in case of Monday series or 30/10/2007 i
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
COURSE: OPTIMIZATION TECHNIQUE AAOC C222
ASSIGNMENT  5
Date of Assignment: 06/11/09
Date of Submission: 13/11/09 (Common Hour)
Maximum marks: 5
Q1. Solve the given assignment model (refer to Table 1) by the Hungarian Method and determine
the associated o
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
INTEGER LINEAR PROGRAMMING
There are many LP problems in which the decision
variables will take only integer values. If all the
decision variables will only take integer values it is
called a pure integer LPP; otherwise the problem is
called a mixed integ
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
CLASSICAL OPTIMIZATION THEORY
Quadratic forms
Let
x1
x
2
X .
.
xn
be a nvector.
Let A = ( aij) be a nn symmetric matrix.
We define the kth order principal minor as
the kk determinant
a11 a12 . a1k
a21 a22 . a2 k
.
.
ak 1 ak 2 . akk
Then the q
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
QUADRATIC
PROGRAMMING
Quadratic Programming
A quadratic programming problem is a nonlinear
programming problem of the form
Maximize
Subject to
T
z c X X DX
A X b , X 0
Here
x1
b1
x
b
2 2
X . , b . , c c1 c2 . . . cn
.
.
xn
bm
a11 a12
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
Dual simplex method for
solving the primal
In this lecture we describe the
important Dual Simplex method
and illustrate the method by doing
one or two problems.
Dual Simplex Method
Suppose a basic solution satisfies the optimality
conditions but not feasi
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
1
INTRODUCTION TO OPTIMIZATION
1.1 INTRODUCTION
Optimization is the act of obtaining the best result under given circumstances.
In design, construction, and maintenance of any engineering system, engineers
have to take many technological and managerial de
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
9
DYNAMIC PROGRAMMING
9.1 INTRODUCTION
In most practical problems, decisions have to be made sequentially at different
points in time, at different points in space, and at different levels, say, for a
component, for a subsystem, and/or for a system. The p
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2013
See discussions, stats, and author profiles for this publication at: https:/www.researchgate.net/publication/263855292
CFD MODELING FOR ANALYSIS OF CALCINERS
IN CEMENT INDUSTRIES
Conference Paper November 2011
CITATIONS
READS
0
223
1 author:
Sandesh Deshm
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2013
Aptitude Test
Please read the following instructions carefully.
1. Total duration to complete the test is 45 minutes.
2. General structure of the test:
3.
4.
5.
6.
Section
No. of Questions
Duration Marks
Numerical Ability
Logical Reasoning
25
25
25 mins
2
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2013
r
H
w
,
e n t at M
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e co m p
fo r c
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'
,
P L A N N IN G A T M & K
R
cEO
& K
Le v
r e s id e n t
v ic e P
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P r e s id e n t
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io r
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'

.
a s o f th e e n d o
f t h is
y e a r is a s fo ll o w s

e
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2013
PONDICHERRY UNIVERSITY
(A Central University)
DIRECTORATE OF DISTANCE EDUCATION
Human Resource Information Systems
Paper Code : MBHR 4004
MBA  HRM
IV  Semester
Author
Dr. S. Riasudeen,
Asst. Professor,
Dept. of Management studies,
Pondicherry University
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2013
Application of HRIS in
International Human
Resource Management
HUMAN RESOURCE INFORMATION SYSTEM
GROUP NO. 10
Introduction
Globalization
creates a need for
internationally engaged firms to operate
more effectively to gain competitive
advantages
An
impor
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2013
Waitrose
Waitrose
The retail management graduate scheme at Waitrose attracts thousands of applications each year: in
2010/11, there were over 3,500 applicants for just 30 places. Every application is manually screened by
the graduate recruitment team. To
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2013
Performance Based Incentive Systems of Modern Bank of India
The case addresses the issues related to performance Management quite
critically. Its evident from the case study that the HR department of the
bank is not able to keep employee satisfied and mot
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2013
Performance Based Incentive Systems of Modern Bank of India
The case addresses the issues related to performance Management quite
critically. Its evident from the case study that the HR department of the
bank is not able to keep employee satisfied and mot
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
Previous Page
Since the integrand
n
F=H S
Pixcfw_
(12.73)
/= i
depends on x, u, and t, there are n + m dependent variables (x and u) and
hence the EulerLagrange equations become
?7,(T)
dxt
=0
'
'!A.
< ( ) _ o. j  u
duj
0274)
dt \dxj
(12 .75)
dt \
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
ii
STOCHASTIC PROGRAMMING
11.1 INTRODUCTION
Stochastic or probabilistic programming deals with situations where some or
all of the parameters of the optimization problem are described by stochastic
(or random or probabilistic) variables rather than by det
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
8
GEOMETRIC PROGRAMMING
8.1 INTRODUCTION
Geometric programming is a relatively new method of solving a class of nonlinear programming problems. It was developed by Duffin, Peterson, and
Zener [8.1]. It is used to minimize functions that are in the form of
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
APPENDIX A
CONVEX AND CONCAVE FUNCTIONS
Convex Function A function /(X) is said to be convex if for any pair of
points
Xj
Aj
r0)
X1 =
r(2)
Lj
1
j
and X 2 =
.
J
L ? J
and all X, 0 < X < 1,
/[XX2 + (1  X) X1] < X/(X2) + (1  X)Z(X1)
(A.I)
that is, if the s
Birla Institute of Technology & Science, Pilani  Hyderabad
Engineering optimization
ME 313

Spring 2014
GAME THEORY
Life is full of conflict and competition.
Numerical examples involving adversaries in
conflict include parlor games, military battles,
political campaigns, advertising and
marketing campaigns by competing business
firms and so forth. A basic f