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JNTU 2007-2008 IV YEAR I SEM. B. TECH. AE -ELECTIVE1-ENGINEERING OPTIMIZATION
Posted Date: 09 Dec 2007 Resource Type:
Articles/Knowledge Sharing
Category:
Syllabus
Posted By:
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JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY
HYDERABAD
IV Year B. Tech. AE – I semester T P C
4+1* 0 4
ENGINEERING OPTIMIZATION
(Elective-I)
UNIT-I
INTRODUCTION TO OPTIMIZATION
Statement of an Optimization Problem-Classification of Optimization Problems-Local and Global Optima
UNIT-II
CLASSICAL OPTIMIZATION TECHNIQUES
Single Variable Optimization-Multivariable Optimization with Equality Constraints- Direct Substitution-Method of Constrained Variation- Method of Lagrange Multipliers
UNIT-III
LINEAR PROGRAMMING
Applications of Linear Programming-Standard form of a Linear Programming Problem-Solution by graphical method-Simplex Method; Two phase and Big M methods-Revised simplex method- Duality in Linear Programming
UNIT-IV
TRANSPORTATION AND ASSIGNMENT PROBLEMS
Transportation Problem- North west corner method-Vogel’s approximation method- MOD method-Assignment problems
UNIT-V
NON-LINEAR PROGRAMMING-UNCONSTRAINED OPTIMIZATION TECHNIQUES
Classification of Unconstrained Minimization-Powell’s M-Steepest Dscent Method- Conjugate Gradient Method-Marquardt Method,Davidon-Fletcher-Powell Method, Broyden-Fletcher-Goldfarb-Shanno Method
UNIT-VI
NON-LINEAR PROGRAMMING -CONSTRAINED OPTIMIZATION TECHNIQUES
Characteristics of a Constrained Problem-Rosen’s Gradient Projection Method- Penalty Function Method
UNIT-VII
INTEGER PROGRAMMING
Graphical Representation-Cutting Plane Method-Branch and Bound Method
UNIT-VIII
DYNAMIC PROGRAMMING
Multi-stage decision process-Computational Procedures in dynamic programming
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