The speed up of a pipeline processing over an equivalent non-pipeline processing is defined by the ration:
where $n \rightarrow$ no. of tasks
$t_n \rightarrow$ time of completion of each tasks
$k \rightarrow$ no. of segments of pipeline
$t_p \rightarrow $ clock cycle time
$S \rightarrow$ speed up ratio
- $S=\frac{n t_n}{(k+n-1)t_p}$
- $S=\frac{n t_n}{(k+n+1)t_p}$
- $S=\frac{n t_n}{(k-n+1)t_p}$
- $S=\frac{(k+n-1)t_p}{n t_n}$