Course Details
Subject {L-T-P / C} : CE6031 : Optimization Methods in Civil Engineering { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Ujjal Chattaraj
Syllabus
Introduction: Need for engineering optimal design, Optimum design formulation: Design variable, objective function and constraints unconstrained optimization methods Single variable optimization methods: Region elimination method – Golden section search, Interval halving method Gradient based method – Newton-Raphson, bisection and secant method. Multi variable optimization methods: Direct search method: Hooke-Jeeve pattern search, simplex reflection search, Powell’s conjugate direction search. Gradient Based methods: Cauchy’s steeped descent, Newton’s method, Levenberg-Marquardt’s method, Fletcher- Reeve method Constrained optimization methods Kuhn Tucker condition, Penalty function method, Augmented Lagrangian method, sequential unconstrained minimization, cutting plane method Introduction to Evolutionary algorithms: Need for evolutionary algorithms, Type of evolutionary methods, Introduction to Genetic algorithm (GA), Difference and similarities between GA and traditional methods. Basic operations of GA: reproduction, crossover, mutation and elitism. Binary coded and Real coded GA Application of Optimization techniques: Water resource planning management, Structural Optimization, Transportation planning and Management, Slope stability and optimal dimensioning of foundations. Multi-objective optimization models.
Course Objectives
- Civil Engineering design
- Finding approximate and practical solution to complicated Civil Engineering problems
- Decision on various design elements
- carry out investigations of complex problems
Course Outcomes
Sound knowledge in application Optimization in Civil Engineering problems
Essential Reading
- J.S. Arora, Introduction to Optimum Design, Elsevier
- K. Deb, Optimization for Engineering. Design: Algorithms & Examples, Prentice Hall India
Supplementary Reading
- K. Deb, Multi-Objective Optimization using Evolutionary Algorithms, John Wiley & Sons
- H.A. Taha, Operations Research, Prentice Hall of India