I have read through forums, watched endless videos and downloaded umpteen Excel spreadsheets to try and achieve a calculation that will work out how many staff I need in my call centre. Is there anyone on here that can help me, Please?
Presumably the "umpteen spreadsheets" work. So I don't see any explanation of the problem that you are having.
Are you simply running into computational limits, for example (using the notation in the article that KRice cites): A^N exceeds about 1.8E+308; or N exceeds 171, exceeding the limit of FACT(170)?
Either might cause #NUM errors.
The root cause might be that you are simply trying to use the Excel implementation for a "raw number of agents required" (N) that exceeds the limits of computation.
If KRice's spreadsheet (#umpteen+1
) does not help you, please explain your problem.
Here is spreadsheet version based on the method outlined in the reference above.
For the calculation of the "Y term" in row 25, you can eliminate the helper cells in columns I:O and replace the formulas in B25:G25 with the following formula in B25, then copy across:
=1 + SUMPRODUCT($B$19^ROW($A$1:INDEX($A:$A, B$23-1)) / FACT(ROW($A$1:INDEX($A:$A, B$23-1))))
This follows from the mathematical Sigma expression directly. The value 1 replaces the term A^0/FACT(0), which is 1/1 = 1.
Note: B23 ("N") must be 2 or more. The formula could be tweaked to allow for B23=1, if necessary, to wit:
=
IF(B$23<2, 1, 1 + SUMPRODUCT($B$19^ROW($A$1:INDEX($A:$A, B$23-1)) / FACT(ROW($A$1:INDEX($A:$A, B$23-1))))
)