09-12-2015
Linear Regression Analysis
Correlation
Simple Linear Regression
The Multiple Linear Regression Model
Least Squares Estimates
R2 and Adjusted R2
Overall Validity of the Model (F test)
Testing for individual regressor (t test)
Problem of Multicol
Assignment Problem
Consider the n jobs and n machines/persons/facilities.
If job i is done on machine j, the cost is cij.
Each machine can process only one job,
Each job is to be processed by one machine only
All jobs must be processed.
Which job sho
Transportation Problem
Transport a homogeneous product from several sources to
several geographically dispersed destinations.
No. of sources: m
No. of destinations: n
Fixed supply/availability at each source: ai
Fixed demand at each destination: bj
Unit c
Approach to solve LP
Approach to solve LP
First understand and analyze a corner point.
How do we know if the two corner points are adjacent?
How do we move from one to another?
How do we ensure that objective value gets improved?
How to ensure that we mov
Graphical Method
Graphical study of an LP
Study the problem by plotting its graph.
Can solve LPs with only two variables (Why?)
More a tool for learning concepts of LP than a
solution method.
Gives us insight into problem and the solution
method.
Hel
Auto Assembly Case Study
Thrill Seeker Classy Cruiser
Profit
3600
5400
Doors
4
2
20000
Labor
6
10.5
48000
Demand unlimited
3500
Supply
Maximize 3600x1 + 5400x2
Sub. To
20000
4x1 + 2x2
6x1 + 10.5x2 48000
Fa
m
x2 3500
ily
T
hri
ll
x1, x2 0
See
k er
ss
a
Cl
LINEAR PROGRAMMING
Quizzes: 15 (5+10)
End Term: 35
Sonia
6629
[email protected]
History of Operations Research
During World War II, the
military managements in
the U.K and the USA
engaged a team of
scientists to study strategic
and tactical problems
relat
QAM-I, 2015-2016
PGP-I, Section A, B
Instructor: Sonia
Problem Sheet: Graphical and Simplex method for LP
Problems from Introduction to Operations Research by Hillier and Lieberman (9e)
1. Problem 3.1-5 on Page 77
2. Problem 3.1-6 on Page 77
3. Problem 3.
S AMPLE P ROBLEMS
QAM-I
Q. 1 Consider the following LP:
Min
Subject to
3x1 + x2
x1 + x2 2
2x1 + x2 3
x1 4
x1 , x2 0
(a) Solve it using simplex method.
(b) Solve it graphically too and verify your result.
(c) Write its dual problem. Without solving tell wh
SUMMARY OUTPUT
Regression Statistics
Multiple R
0.957168
R Square
0.916171
Adjusted R Square
0.9022
Standard Error
7.884974
Observations
8
ANOVA
df
Regression
Residual
Total
Intercept
X Variable 1
SS
MS
1 4076.963 4076.963
6 373.0369 62.17281
7
4450
F Sig
29-09-2015
Interval Estimation and
Sample Size Decision
Point estimation
Interval estimation for
Population Mean
Population Proportion
Population Variance
Sample size decision in estimating
Population Mean
Population Proportion
Population Varianc
Indian Institute of Management Lucknow
PGP/ PGP-ABM/ FPM (Academic Year: 2014-15)
Quantitative Analysis for Management-II
End Term Examination
Sections: A/B/C
(Course Instructor: Dr. Gaurav Garg)
Max. Marks: 40
Time Allowed: 2 Hours
Q 1. The operations ma
Indian
Institute of
Management Lucknow
POST GRADUATE PROGRAMME: 2012 14
QUANTITATIVE ANALYSIS FOR MANAGEMENT
- II
COURSE INSTRUCTOR: GAURAV GARG
End Term Examination
Solution
Maximum Marks: 40
Time Allowed: 2 Hrs.
Q.1 RELIABLE tyre dealer supplying three
Indian
Institute of
Management Lucknow
POST GRADUATE PROGRAMME: 2013 15
QUANTITATIVE ANALYSIS FOR
MANAGEMENT - II
COURSE INSTRUCTOR: GAURAV GARG
End Term Examination Solution
Maximum Marks: 40
Time Allowed: 2 Hours
Q.1 The Ford Motor Company, as part of i
20-10-2015
Testing of Statistical Hypothesis
The Hypothesis
(One Sample Tests)
Research Hypothesis
Concept of Hypothesis testing
Hypothesis testing for mean
Hypothesis testing for proportion
Hypothesis testing for variance
Power of the test
QAM II by Gau
9/24/2015
COURSE OUTLINE
QUANTITATIVE ANALYSIS FOR
MANAGEMENT II
Sampling Distributions Chi-Square, t and F distributions
Interval Estimation
Sample Size Decision
Testing of Hypothesis
single population and
two populations
Measures of Association for
INDIAN INSTITUTE OF MANAGEMENT LUCKNOW
END TERM EXAMINATION
Course: Quantitative Analysis for Management II
Term: II; PGP I (2010 2011)
Sections: A/B/C/D/E/F
Max. Marks: 40
Time: Two Hours
Date: Dec. 22. 2010
Solution
1. An investigator wants to determine
QAM-I, 2015-2016
PGP-I, Section A, B
Instructor: Sonia
Problem Sheet Solution: Graphical and Simplex method for LP
Problems from Introduction to Operations Research by Hillier and Lieberman (9e)
1. Problem 3.1-5 on Page 77
2. Problem 3.1-6 on Page 77
3. P
Enterprise Systems
Logistics
Production
Purchasing
Accountin
g
Sales
Functional Silo View of an Organization
Functional Silo View of an Organization
Logistics
Production
Purchasing
Accountin
g
Sales
Information?
Cross-Functional Nature of the Order Manage
L08-09: MRP and Lot Sizing
SCM 2016, IIM Lucknow
Material
Requirements
Planning
Sushil Kumar, PhD
IIM Lucknow
Material Requirements Planning (MRP)
Computer-based information system that translates master
schedule requirements for end items into time-phase
By Aravind Ashok
03-01-2011
DIFFERENCE BETWEEN SEISMIC AND WIND LOADS
The loads acting on a structure are mainly the vertical and lateral loads. The vertical load mainly consist of
dead load and the imposed loads and the behaviour of the structure when su
Lateral Load Resisting Systems
IITGN Short Course
Gregory MacRae
Many slides from 2009 Myanmar Slides of Profs Jain and Rai
1
Lateral Loads
Wind
Earthquake
Lateral Load Resisting Systems
Rai, Murty and Jain
Lateral Load Resisting Elements
Vertical Elemen
8 Equations of Motion, Problem Statement, and Solution Methods Chap. 1
Two types of dynamic excitation will be considered: ( 1) external force [2(1) in the lat-
eral direction (Fig. 1.2.la), and (2) earthquake-induced ground motion u g(t) (Fig. 1.2.1b).
I
Engineering Geology
Dr. D. N. Arnepalli
Department of Civil Engineering
Indian Institute of Technology Madras
The Outline
General geology
Mineralogy
Crystallography
Petrology
Physical geology
Structural geology
Engineering geology
Physico-mechanical prope
Engineering Geology
Dr. D. N. Arnepalli
Department of Civil Engineering
Indian Institute of Technology Madras
Lecture 10
Structural Geology
Part-1
What is STRUCTURAL GEOLOGY?
All the rock masses have some features which we
call as its structure.
Structu
Soil Aggregate, Classification System
(Index and Engineering Properties of Soils
and Determination)
Dr. D. N. Arnepalli
Department of Civil Engineering
Indian Institute of Technology Madras
Introduction
The fundamental behaviour of geomaterials depends o
Soil Mineralogy and its Role in Fundamental Soil
Behaviour
Dr. D. N. Arnepalli
Department of Civil Engineering
Indian Institute of Technology Madras
Role of Soil Mineralogy in Geotechnical Engineering
2/96
Role of Soil Mineralogy in Geotechnical Engineeri
Permeability Characteristics of Soils
Dr. D. N. Arnepalli
Department of Civil Engineering
Indian Institute of Technology Madras
Introduction to Permeability
Water flow through soil and rock has been most extensively studied
because of its essential role
Engineering
Geology
St. Francis Dam, Ca. 1926.
Concrete gravity dam constructed in 1926 in
California collapsed 1928
Failed primary due to existence of weak rocks below
Rock was Schists and soft argillaceous conglomerate
separated by a distinct fault
Othe