INTRODUCTION TO OPERATIONS RESEARCH
Nature and Characteristic Features of OR
Definition:
Operations Research is the application of
scientific methods, techniques and tools to
problems involving the
PROGRAMME EVALUATION
AND REVIEW TECHNIQUE
(PERT)
Dr. M. Vijaya Kini,
Associate Professor (Sr. Scale),
Department of Mechanical and Manufacturing Engineering,
[email protected]
INTRODUCTION
In the analy
GAME THEORY
Game Theory - Dr.M.V.Kini
Introduction
Game theory is concerned with the study
of decision making in situations where two
or more rational opponents are involved
under conditions of compet
MONTE - CARLO
SIMULATION
Dr. M.V.Kini
We have seen before that it is possible to
model many processes using Mathematics.
However, there could be processes where it
may not be possible to fit equations
APPLICATIONS OF TRANSPORTATION ALGORITHMS
1. a) Three refineries with maximum daily capacities of 6 million, 5 million, and 8 million
gallons of gasoline supply three distribution areas with daily dem
MANIPAL INSTITUTE OF TECHNOLOGY
(A constituent college of , Manipal)
Manipal Karnataka 576 104
DEPARTMENT OF MECHANICAL & MANUFACTURING ENGG
COURSE PLAN
Department
Subject
: Mechanical & Manufacturing
Critical Path Method (CPM)
Dr. M. Vijaya Kini,
Associate Professor (Sr. Scale),
Department of Mechanical and Manufacturing Engineering,
[email protected]
INTRODUCTION
Critical Path Method, commonly abb
QUEUING THEORY
Dr.M.V.Kini
Dr.M.V.Kini
QUEUING THEORY also known as
Waiting line theory
Applicable to situations where the customers
arrive at some service station(s) for some
service; wait (occasiona
NETWORK MANAGEMENT
Dr. M. Vijaya Kini,
Associate Professor (Sr. Scale),
Department of Mechanical and Manufacturing Engineering,
[email protected]
Fundamentals of Network
A network is a flow diagram or
TABLE A AREA UNDER THE NORMAL CURVE
Proportion of the total area of the standard normal curve from
statistic)
z
to z (z represents a normalized
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
0.00
3.5
3.
FORMULATION
1.
A company has three operational departments
(weaving, processing and packing) with
capacity to produce three different types of
clothes viz. suitings, shirtings, and wollens
yielding a
LINEAR PROGRAMMING
INTRODUCTION:
Programming problems in general are governed with the
use or allocation of scarce resources
Labour,
Materials,
Machines and
Capital
in the best possible manner so that
The Concept of the Dual
Dr.M.V.Kini
Associate Professor (Sr. Scale)
Dept of Mech & Mfg Engg
MIT, Manipal
[email protected]
The Concept of the Dual
Linear programming problems exist in pairs. Thus, in
l
SIMPLEX METHOD
(PURE CASES)
The simplex algorithm is an iterative procedure for
finding, in a systematic manner, the optimal solution
to a LPP.
We have seen earlier that if a feasible solution to the
SPECIAL CASES IN SIMPLEX
METHOD
Dr. M.Vijaya Kini
Associate Professor (Sr. Scale)
Department of Mechanical and Manufacturing Engineering
MIT, MANPAL
[email protected]
https:/sites.google.com/site/vijay
Specially structured LPP - I
TRANSPORTATION PROBLEM
The transportation model deals with a
special class of linear programming
problems in which the objective is to
"transport" a homogeneous commodity
https:/sites.google.com/site/vijaykini47/
Sensitivity Analysis
(Post Optimality Analysis)
Optimal solutions to linear programming problems are
obtained under a set of assumptions such as fixed
technol
Specially structured LPP - I
TRANSPORTATION PROBLEM
The transportation model deals with a
special class of linear programming
problems in which the objective is to
"transport" a homogeneous commodity
Critical Path Method (CPM)
Dr. M. Vijaya Kini,
Associate Professor (Sr. Scale),
Department of Mechanical and Manufacturing Engineering,
[email protected]
INTRODUCTION
Critical Path Method, commonly abb
Product Mix :
In product
mix problems
management
mus: determine
the o.U2.:!'!:!es of products tc be
manufactured
during a specific time period.
To illustrate consider the case of the Hall
Manufacturi