# Optimization in Engineering

 Course Code : ULZ0179 Author : uLektz University : General for All University Regulation : 2017 Categories : Computer Science Format : ePUB3 (DRM Protected) Type : eBook

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Description :Optimization in Engineering of ULZ0179 covers the latest syllabus prescribed by General for All University for regulation 2017. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

##### Topics
###### UNIT-I IDEA OF ENGINEERING OPTIMIZATION & LINEAR PROGRAMMING

1.1 Idea of Engineering optimization problems-Classification of optimization algorithms-Modeling of problems and principle of modeling.

1.2 Linear programming: Formulation of LPP-Graphical solution-Simplex method-BigM method-Revised simplex method-Duality theory and its application-Dual simplex method -Sensitivity analysis in linear programming

###### UNIT -II TRANSPORTATION PROBLEMS, ASSIGNMENT PRIOBLEMS, INTEGER PROGRAMMING & QUEUING MODELS

2.1 Transportation problems:Finding an initial basic feasible solution by Northwest Corner rule-Least Cost rule-Vogel’s approximation method-Degeneracy-Optimality test-MODI method-Stepping stone method

2.2 Assignment problems: Hungarian method for solution of Assignment problems

2.3 Integer Programming: Branch and Bound algorithm for solution of integer Programming Problems

2.4 Queuing models: General characteristics-Markovian queuing model-M/M/1 model, Limited queue capacity-Multiple server-Finite sources-Queue discipline.

###### UNIT-III NON-LINEAR PROGRAMMING, UNCONSTRAINED OPTIMIZATION & CONSTRAINED OPTIMIZATION

3.1 Introduction to non-linear programming

3.2 Unconstraint optimization: Fibonacci and Golden Section Search method

3.3 Constrained optimization with equality constraint: Lagrange multiplier-Projected gradient method

3.4 Constrained optimization with inequality constraint: Kuhn-Tucker condition-Quadratic programming-Introduction to Genetic Algorithm