Presentation Transcript
Slide 1:Topic 1: Introduction to optimization
Slide 2:We use optimization to determine the best case (solution) without actually testing all possible cases.
Slide 3:In formulating an engineering problem:
define the boundaries of the problem
define the quantitative criterion on the basis of which candidates will be ranked to determine the best
select the system variables
define the model that will express the relation between variables
Slide 4:What do we need to formulate a problem correctly?
We need to understand the problem correctly
We need the experience, from our own or from others’
Slide 5:Applications of optimization in Engineering:
Design of components or entire systems
Planning and analysis of existing operations
Engineering analysis and data reduction
Control of dynamic systems
Slide 6:1.3 STRUCTURE OF OPTIMIZATION PROBLEMS We call it the constrained optimization problem
Slide 7:When N=1, the problem is called a single-variable problem.
When hk and gj are linear functions, the problem is called a linearly constrained problem. The unconstrained optimization problem is of the form: