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Course Detail

Syllabus

Unit 1

Linear programming: Formulations – graphical solutions, simplex method, duality, Transportation model, Assignment model-travelling salesman problem.

Unit 2

Decision theory: Decision trees. Game theory – two persons zero sum, mixed strategies; 2 x n and m x 2. Network models – project networks – CPM/PERT, project scheduling, crashing networks and cost considerations, resource levelling and smoothing, shortest route problem, minimal spanning tree problem, maximal flow problem.

Unit 3

Sequencing model – 2 machines n jobs, m machines n jobs-n jobs 2 machines.

Inventory models – deterministic and probabilistic models, Queuing models-poison arrival and exponential service times, single server, multi-server. Simulation: Monte Carlo simulation – simple problems.

Text Books

  • Wagner, H. M. – ‘Principles of Operations Research – Prentice Hall, New Delhi – 1998

Resources

  • J. K. Sharma. – ‘Operations Research Theory and Applications’ – Macmillan India Ltd, New Delhi – 2013 – 5th Edition
  • Taha H. A. – ‘Operations Research: An Introduction’ – Prentice Hall, New Delhi – 2010 – 9th Edition
  • Ravindra A., Phillips, D. J. and Solberg, J. J. – ‘Operations Research – Principles and Practice’ – John Wiley & Sons – 2005
  • Hadley G. – ‘Linear Programming’ – Narosa Book Distributors Private Ltd. – 2006

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