CMIS 310 Amdahl

Local stuff



Basic law

s=1f+f/ks = \frac{1}{f' +f / k}

Example:

s=10.3+0.71.5=1+7/231.304347826086957...s = \frac{1}{0.3 +\frac{0.7}{1.5}} = 1 + 7 / 23 ≅ 1.304347826086957...

Percent

After some algebra, we find the following:

100*P=Ms-1=M*fk+ffk100 * P = \frac{M}{s - 1} = M * \frac{f'k + f}{fk'}

P=$10,000100*237=$328.571428571428571...P = \frac{\$10,000}{100} * \frac{23}{7} = \$328.571428571428571...

Ratio

To compute the relative percentages, again after some algebra, we get:

P1P2=M1M2*k2k1*ffk1+1ffk2+1\frac{P1}{P2} = \frac{M1}{M2} * \frac{k2'}{k1'} * \frac{\frac{f'}{f}k1 + 1}{\frac{f}{f'}k2 + 1}