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UNIVERSITY OF KERALA - College of Engineering, Trivandrum

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08.807.7 Elective-V OPTIMIZATION TECHNIQUES IN<br />

ENGINEERING<br />

L T P/D Cr<br />

3 0 0 3<br />

Module I<br />

General Optimisation procedures - and features <strong>of</strong> mathematical programming as applicable to Civil engineering<br />

problems. Unconstrained and constrained optimization problems - Formulation <strong>of</strong> objective function and<br />

constraints.<br />

Module II<br />

Non- Linear Programming problems – one dimensional minimisation. Unconstrained optimization Techniques<br />

Direct search method. Random search Univariate pattern search. Descent methods. Fletcher & Reeves method.<br />

Quasi Newton methods Constrained optimization Techniques method <strong>of</strong> feasible directions Penalty function<br />

Module III<br />

Linear Programming - Simplex method standard form - Simplex algorithm - Two phase solution by simplex<br />

method - Duality <strong>of</strong> linear programming Formulation <strong>of</strong> geometric programming - Dynamic programming and<br />

integer programming problems-Minimum weight design <strong>of</strong> trusses and frames.<br />

References:<br />

1. Optimisation methods in <strong>Engineering</strong> Design, R.L. Fox Addison Wesely.<br />

2. Optimisation Theory and applications , S.S. Rao ,Wiley Eastern.<br />

3. Optimisation concepts and Applications <strong>Engineering</strong>, Belegundu.<br />

4. Civil <strong>Engineering</strong> Systems, Andrew B Templeman.<br />

Question Paper:<br />

Duration: 3 hours<br />

The question paper consists <strong>of</strong> Part A and Part B. Part A is for 40 marks. There will be 8 compulsory short<br />

answer questions <strong>of</strong> 5 marks each covering entire syllabus.<br />

Part B is for 60 marks. There will be two questions from each module. The candidate has to answer one question<br />

<strong>of</strong> 20 marks from each module.<br />

Note: No charts, tables, codes are permitted in the Examination hall .If necessary relevant data shall be given<br />

along with the question paper by the question paper setter.<br />

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