O'Reilly logo

Computational Lithography by Xu Ma, Gonzalo R. Arce

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter 4

Fundamentals of Optimization

4.1 Definition and Classification

4.1.1 Definitions in the Optimization Problem

Optimization is an important tool in decision science and in the analysis of physical systems [53]. In a mathematical framework, optimization is the minimization or maximization of a function subject to constraints on its variables. The optimization problem can be formulated as following [53]:

(4.1) equation

where img is the vector of variables, which depends on certain characteristics of the system. img is the objective function (or cost function), a scalar function of img that is to be maximized or minimized. img are scalar constraint functions, of img which define certain equations and inequalities that the variable vector must satisfy. The set of img satisfying all the constraints are referred to ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required