Instructor: Rajib Kumar Bhattacharjya

Room No. 105 (M Block)

Phone No. 2428

Email: rkbc@iitg.ernet.in

Class Timing

Tuesday         : 16.00 - 16.55 (Room No. 3102)

Wednesday    : 15.00 - 15.55 (Room No. 3102)

Thursday       : 18.00 - 18.55 (Room No. 3102)

Pre-requisites: Nil

Syllabus

Basics of engineering analysis and design, need for optimal design, formulation of optimal design problems, basic difficulties associated with solution of optimal problems. Classical optimization methods, necessary and sufficient optimality criteria for unconstrained and constrained problems, Kuhn-Tucker conditions, global optimality and convex analysis. Linear optimal problems, Simplex method, Introduction to Karmarkar's algorithm; numerical methods for nonlinear unconstrained and constrained problems, sensitivity analysis, linear post optimal analysis. Sensitivity analysis of discrete and distributed systems; introduction to variational methods of sensitivity analysis, shape sensitivity. Introduction to integer programming, dynamic programming, stochastic programming and geometric programming. Introduction to genetic algorithm and simulated annealing.

Texts:

1. Deb K. Optimization for Engineering Design: Algorithms and Examples. PHI Pvt Ltd., 1998.

2. Belegundu A.D. and Chandrupatla T.R. Optimization Concepts and Applications in Engineering. Pearson Education Asia 2002.

3. Rao S.S. Engineering Optimization Theory and Practice. New Age International (P) Ltd. 2001.

4. J. S. Arora, Introduction to Optimum Design, McGraw Hill International Edition, 1989.

References:

1. Goldberg D.E. Genetic Algorithms in Search, Optimization and Machine Learning. Pearson Education Asia 2002

2. Hafta R. T. and Gurdal Z. Elements of Structural Optimization. Third Revised and Expanded Edition. Kluwer Academic Publishers 1996.

3. Deb K. Multi-Objective Optimization using Evolutionary Algorithms. John Wiley & Sons, UK, 2001.

4. K. Srinivasa Raju and D. Nagesh Kumar. Multicriterion Analysis in Engineering and Management. PHI Learning Pvt. Ltd., New Delhi, India 2010.

Method of Assessment