WEEK 1

Introduction and type of data, Types of data, Descriptive and Inferential statistics, Scales of measurement

WEEK 2

Describing categorical data Frequency distribution of categorical data, Best practices for graphing categorical data, Mode and median for categorical variable

WEEK 3

Describing numerical data Frequency tables for numerical data, Measures of central tendency - Mean, median and mode, Quartiles and percentiles, Measures of dispersion - Range, variance, standard deviation and IQR, Five number summary

WEEK 4

Association between two variables - Association between two categorical variables - Using relative frequencies in contingency tables, Association between two numerical variables - Scatterplot, covariance, Pearson correlation coefficient, Point bi-serial correlation coefficient

WEEK 5

Basic principles of counting and factorial concepts - Addition rule of counting, Multiplication rule of counting, Factorials

WEEK 6

Permutations and combinations

WEEK 7

Probability Basic definitions of probability, Events, Properties of probability

WEEK 8

Conditional probability - Multiplication rule, Independence, Law of total probability, Bayes’ theorem

WEEK 9

Random Variables - Random experiment, sample space and random variable, Discrete and continuous random variable, Probability mass function, Cumulative density function

WEEK 10

Expectation and Variance - Expectation of a discrete random variable, Variance and standard deviation of a discrete random variable

WEEK 11

Binomial and poisson random variables - Bernoulli trials, Independent and identically distributed random variable, Binomial random variable, Expectation and variance of abinomial random variable, Poisson distribution

WEEK 12

Introduction to continous random variables - Area under the curve, Properties of pdf, Uniform distribution, Exponential distribution

• Descriptive Statistics (VOL 1)

• Probability and Probability Distributions (VOL 2)

• Ph.D.(Operations Research) ,Indian Statistical Institute, India (2002)

• M. Phil(Operations Research) ,University of Hyderabad, India (1992)

• M. Sc , Statistics and Operations Research, University of Hyderabad, India(1991)

• B. Sc, Mathematics, Physics and Electronics, Osmania University, India (1989)

  • Ph.D Dissertation Title: Symmetric Traveling Salesman Problem: Some New Insights 

• “Order Acceptance and Scheduling: Overview and Complexity Results”, with Venkata Prasad Palakiti and Viswanath Ganesan,  Accepted for publication in International Journal of Operational Research

•  “Constant factor approximation algorithm for TSP satisfying a biased triangle inequality”, with Sivaramakrishnan Ramani and Sounaka Mishra,  Theoretical Computer Science, Volume 657, Part B, Pages 111-126, 2017

• “An Integrated Approach To Evaluating Sustainability In Supply Chains Using Evolutionary Game Theory”, with Sujatha Babu, Computers and Operations Research, http://dx.doi.org/10.1016/j.cor.2017.01.008 2017.

• "Impact of Retailer Competition on Manufacturer’s Decisions and Profits at Equilibrium", with Parshuram Hotkar, International Game Theory Review, Vol. 15, No. 04, 2013

• “Threshold Incentives and Sales Variance", with Milind Sohoni, Sunil Chopra, and Nuri Sendil, Production and Operations Management, July/August 2011, Volume 20, Issue 4, pp.571-586.

• “Threshold Incentives over Multiple Periods and the Sales Hockey Stick Phenomenon ", with Milind Sohoni, Achal Bassamboo, Sunil Chopra, and Nuri Sendil, Naval Research Logistics, 2010, Volume 57, Issue 6, pp 503-518.

• “Outsourcing of Front-End Business Processes: Quality , Information and Customer Contact”, with Balakrishnan, Karthik and Seshadri, Sridhar, Journal of Operations Management,Volume 26, Issue 2, March 2008, pp 288-302. doi: 10.1016/j.jom.2007.08.001

• “The importance of decoupling recurrent and disruption risks in a supply chain ”, with Chopra S. and Reinhardt G, Naval Research Logistics, Volume 54, Issue 5, August 2007, Pages 544-555.doi: 10.1002/nav.20228.

• “Impact of Avian Influenza on the Poultry Supply Chain in India”, with Viswanadham, N and Prachi Trika., International Journal of Logistics Systems and Management, 2009 - Vol. 5, No.1/2 pp. 89 - 105.

• “On the Equivalence of the Multistage-insertion and Cycle-shrink formulations of the Symmetric Traveling Salesman Problem”, with Arthanari T. S. , OR Letters, 29(2001)pp 129-139

• “An Alternate Formulation of the Symmetric Traveling Salesman Problem and its properties”, with Arthanari T. S., Discrete Applied Mathematics, 98(2000), pp 173-190.