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

Course Outcomes

Sound knowledge in application Optimization in Civil Engineering problems

Essential Reading

Supplementary Reading