1. Chapter 11 Reliability-Based Optimum Design

2. 11.1 Introduction 11.2 optimization problem
The standard optimization problem can be stated as:
Which minimizes f(X)
Subject to

4. 11.3 Formulation of Optimization Problem
Reliability allocation problem
solution

9. 11.3.2 Structural and mechanical design problems

20. 11.4 Solution Technique 14.4.1 Graphical-optimization method
Find X which monimizes f(X)
Subject to the constraints
Gj(X)<0, j=1,2,……,m

26. 11.4.2 Lagrange multiplier method
Which minimuzes

32. 11.4.3 Penalty function Method
Iteration procedure

33. For simple problem
minimizes
a>o, b>0

34. Unconstrained minimization

36. One dimensional minimization

42. Deterministic formulation

43. Probabilistic formulation

49. Dynamic programming

51. The various stages are given in table.