IIT Bombay written test

I want to do Ph.D. in Industrial Engineering and Operations Research from IIT Bombay so I have to appear in the written test, can you please tell me the names of some important topics on which the written exam of it based?

[Kiran Chandar]

The written test of Ph.D. Industrial Engineering and Operations Research of IIT Bombay will be based on the topics related to operations research, such as: optimization,
Applied probability,
Stochastic processes, statistics and
Algorithms

It will be designed to test your basic understanding and aptitude for research.

A partial list of topics along with suggested references
Basic topics in engineering mathematics, calculus, linear algebra, probability & statistics, algorithms, logic, etc

Operations Research (Linear programming, network flow models, queueing theory, simulation, etc.)
Taha, H.A., Operations Research, Prentice-Hall India, 2003.
Winston, Wayne L., Operations Research: Algorithms & Applications, Thomson Learning, 2004.
Wagner, H.M., Principles of Operations Research, Prentice-Hall India, 2007.
Hillier, F.S. and Lieberman, G.J., Introduction to Operations Research, McGraw Hill, 2006.

Applied probability, stochastic process and statistics
Ross, Sheldon M., Introduction to Probability Models, CBS Publishers, 2006.
Papoulis, A., and S. Unnikrishna Pillai, Probability, Random Variables, and Stochastic Processes, Tata-McGraw Hill, 2002.
Ross, Sheldon M., Introduction to Probability & Statistics for Engineers and Scientists, Academic Press Elsevier, 1999.

Optimization (linear & nonlinear programming, integer programming, network optimization, etc.)
Chong, E.K.P, and S.H. Zak, An Introduction to optimization, John Wiley & Sons, 2001
Rao, S.S., Engineering Optimization: Theory and Practice, New Age International, 2001
Bazaraa, M.S., J.S. Jarvis, and H.D. Sherali, Linear Programming and Network Flows, John Wiley & Sons, 2006

IIT Bombay Ph.D. Industrial Engineering and Operations Research Written test sample paper