THE SIMPLEX METHOD
SIMPLEX METHOD
Solutions of Linear Programming Problems
LP Standard Form
The objective function is either a
maximization or minimization.
All constraints are equations except for the
non-negativity constraint.
RHS constants should be no

DEFINITIONS
NETWORK
MODELS
A network is an arrangement of paths connected
at various points, through which one or more
items move from one point to another.
Network models have become a very popular
management science technique for analysis
MAIN COMPONENT

PROJECT MANAGEMENT
Project management is distinguished
from production management primarily
by the nonrepetitive nature of the work.
A project is usually a one-time effort.
The management of a project is more
complicated than that of a production
line due

INTRODUCTION
The Beginning and Progress of Operations
Research
The Operations Research Methodology
Areas of Application: OR Problems
What is Operations Research?
Operations Research (OR) is the
application of scientific methods,
techniques, and tools to p

LINEAR PROGRAMMING
LINEAR PROGRAMMING:
Problem Formulation
General Definition of LP Problems
Formulation of LP Problems
Graphical Solution of LP Problems
Components of LP Models
The Decision Variables
The decision variables in LP depend on the
type of LP

Reddy Mikks Problem (Taha
(Taha)
The Reddy Mikks company owns a small paint factory that produces
both interior and exterior house paints for wholesale distribution.
distribution.
Two basic raw materials, A and B, are used to manufacture the
paints.
The m

Duality plays an important role
for the following reasons:
DUALITY AND SENSITIVITY
ANALYSIS
1. The dual problem has an important
economic interpretation.
2. Several theories that are used to develop
methods for efficient computational
shortcuts to the sim

Product Mix Problem 1
A manufacturing company wishes to determine how
many of each of three different products it should
produce, given limited resources, in order to maximize
total profit. The labor and material requirements and
the contribution to profi

Special LP Cases
SPECIAL CASES
SIMPLEX METHOD
Degeneracy
DEGENERACY
Consider the following LP:
Maximize
subject to
A number of special cases may be
realized in the application of the
simplex method:
1. Degeneracy
2. Alternative optima
3. Unbounded solutio

LINEAR
PROGRAMMING:
TRANSPORTATION
MODEL
The Model
deals with the determination of a minimum
cost plan for transporting a single
commodity from a number of sources to a
number of destinations. This can be
extended to other applications such as
production-