Optimum Design
157
\
\
X
\
Figure 3,2 Applicable region for example 3.5.
This graphical approach can be extended to three variables but the
visual problems with three dimensions are sometimes difficult and a linear
programming computer solution saves time. A computer solution is definitely required for more than three variables.
VII. NONLINEAR PROGRAMMING
Linear programming is a function of sum of variables which have single
powers like x, y, z. In nonlinear programming the variables have powers
and can be products, such as x 3, y2, ~ or xy, yZz, x 3 ~¢/~. Many engineering
problem definitions fall into this category. The following example is also
reworked later using geometric programming in Example 3.11 [3.12].
157
\
\
X
\
Figure 3,2 Applicable region for example 3.5.
This graphical approach can be extended to three variables but the
visual problems with three dimensions are sometimes difficult and a linear
programming computer solution saves time. A computer solution is definitely required for more than three variables.
VII. NONLINEAR PROGRAMMING
Linear programming is a function of sum of variables which have single
powers like x, y, z. In nonlinear programming the variables have powers
and can be products, such as x 3, y2, ~ or xy, yZz, x 3 ~¢/~. Many engineering
problem definitions fall into this category. The following example is also
reworked later using geometric programming in Example 3.11 [3.12].