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Oct 4, 2019 at 14:44 vote accept Reza Afzalan
Oct 4, 2019 at 14:30 comment added prubin I added the update. Unfortunately, I don't know of any references for this formula.
Oct 4, 2019 at 14:27 history edited prubin CC BY-SA 4.0
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Oct 3, 2019 at 20:47 comment added Reza Afzalan My question is about $realization$ please update the answers and include it, so I can select it as right answer, also if possible add some reference material.
Oct 3, 2019 at 20:40 comment added prubin You could use $\frac{a-g}{\max\{a,\epsilon\}}$ for some arbitrary $\epsilon >0$ (maybe $\epsilon = 1$). If $g=0$ and $a$ gets close to 0, it will depart from the previous formula. I've seen variations of this in other contexts.
Oct 3, 2019 at 18:45 comment added Reza Afzalan OK, if we use $(a-g) /a$ to calculate deviation then with $1-deviation=realization$ will get $realization=g/a$ that is the same formula we are using already.
Oct 3, 2019 at 18:11 comment added prubin Your question said "lower is better" and mentioned goal zero. If lower is better and outcomes cannot be negative, actual = 0 would imply goal = 0. As I said in the answer, we would just define this as 100% (which is the limit of the formula I gave as $a\rightarrow g$ when $g=0$. There is one catch: using my formula, any $a$ results in 100% when $g=0$. So the problem is not $a=0$, but you may not be happy with the formula when $g=0$.
Oct 3, 2019 at 7:34 comment added Reza Afzalan And with this approach, I cant calculate the ratio when actual value is zero.
Oct 2, 2019 at 22:25 comment added Reza Afzalan I think when kpi meets the target, we have to get 100% for the realization ratio and 0 deviation, and your answer is closer to the deviation than the realization ratio.
Oct 2, 2019 at 20:58 history answered prubin CC BY-SA 4.0