CSVTU B.E. VIII Semester Mechanical Engineering Optimization Techniques Syllabus

Chhattisgarh Swami Vivekanand Technical University, Bhilai

Semester: B.E. VIII Sem. Branch: Mechanical Engg.

Subject: Optimization Techniques

Total Marks in End Semester Exam: 80

Minimum number of class tests to be conducted: 2

UNIT – I

Optimization Technique

Classification of optimization, problems, single variable and multivariable optimization with equality

constraints and Inequality constraints. Convex programming problem.

UNIT – II

Linear Programming – II

Duality in Linear programming, dual simplex method, decomposition principle, sensitivity analysis,

quadratic programming, changes in cost coefficient, golden section method.

UNIT – III

Non-Linear Programming – I

Rate of convergence, Design variables, Random search methods, Chrivariate methods, Powell’s

method, Newton’s method, Marquard Method, Test function.

UNIT – IV

Geometric Programming

Unconstrained minimization problem, primal dual relationship, geometric programming with mixed Erie

quality, application and complementary function.

UNIT- V

Dynamic Programming

Multistage Decision processes. Principles of optimality, continuous dynamic programming.

TEXT BOOKS

1. Optimization Techniques – C.S. Rao – Dhanpat Rai & Sons, New Delhi

2. Optimization methods for Engineering Design – R.L. Fox – Addison Wesley Pub

REFERENCE BOOKS

1. Engineering Optimization Theory and Practice – S.S. Rao – New Age Publishers.

2. Introduction to optimum Design – J.S. Arora – Mc. Grawhill publishers

3. Foundation of Mathematical optimization – Pallaschke – Kluwer Academic Publishers

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