Digital Circuit Design: Example

We return to the example pictured before.

Design example: For the circuit, the gates have the following parameters.

$begin{array}{c|cccc} mbox{rm Gate} & C^{rm in} & C^{rm intr} & r & a hline 1,3,6 & 3 & 3 & 0.48 & 3 2,7 & 4 & 6 & 0.48 & 8 4,5 & 5 & 6 & 0.48 & 10 end{array}$

The design problem is

$min_{x,T>0} : D ~:~ begin{array}[t]{l} A_i(x) le A_{rm max}, ;; x_i ge 1, ;; i=1,ldots, n, D ge T_i, ;; i=1,ldots, n, T_i ge (T_j + D_i(x)), ;; i=1,ldots, n, ;; j in mbox{small FI(i)}, end{array}$

where A_i(x) = a_i x_i , and the delay functions D_i are defined here.