UNIT – I Definition of operations research, models of
operations research, scientific methodology of operations research, scope of
operations research, importance of operations research in decision making, role
of operations management, limitations of OR.
UNIT – II Linear
Programming: Introduction – Mathematical formulation of a problem – Graphical
solutions, standard forms the simplex method for maximization and minimization
problems. Method application to management decisions. Transportation problem –
Introduction – Initial basic feasible solution - NWC method – Least cost method
– Vogel’s method – MODI – moving towards optimality – solution procedure
without degeneracy
UNIT – III Assignment problem – Algorithm – Hungarian method – simple problems.
UNIT – IV Sequencing
and replacement model: Sequencing problem – processing through 2 machines, 3
machine – s jobs and k machines and traveling salesman problem. Replacement of
items that deteriorate gradually – with time, without time, that fails
completely – individual replacement – group replacement.
UNIT – V Network
models and simulation. Network models for project analysis CPM; Network
construction and time analysis; cost time trade off, PERT – problems.
UNIT-VI - Game Theory
STATISTICS
Module I (9 hours) Introductory Concepts Unit 1 Introduction to the subject of Statistics,
population and sample, variables and attributes.
Unit 2 Types of data – qualitative, quantitative,
univariate, multivariate, cross sectional, time series, discrete, continuous,
primary, secondary. Scales of measurement – nominal, ordinal, interval, ratio.
Unit 3 Construction of frequency distributions
(univariate and bivariate). Organisation and presentation of data through
diagrams (bar and pie) and graphs (frequency curve, histogram, cumulative
frequency curves), stem and leaf plot.
Module II (15 hours) Univariate Data Analysis
Unit 1 Measures of location or central tendency - arithmetic mean, median,
mode, geometric mean, harmonic mean – properties, positional averages or
quantiles – quartiles, deciles, percentiles and their interpretations.
Comparison of the different averages. Unit 2 Measures of dispersion - absolute
measures - range, mean deviation, quartile deviation, standard deviation -
properties with proof, relative measures. Unit 3 Moments – about origin, about
an arbitrary point, central moments, relationship between moments about origin
and moments about mean, skewness and kurtosis - concept and measures, box and
whisker plot – construction and applications.
Module III
(12 hours) Bivariate Data Analysis Unit 1 Linear Correlation - Scatter diagram,
product moment correlation coefficient - properties, Spearman;s rank
correlation coefficient. Unit 2 Regression - Dependent and independent
variables, objectives of regression, derivation of linear regression model by
the method of least squares, estimation of regression coefficient and
coefficient of determination and their interpretations.
MODULE IV
Chi Square
test
