I will try to explain the problem from my previous blog in more detail:
The Problem I posted is part of an inventory optimization problem. There are n bases(warhouses) for which I wish to determine the stock level in such a way, that I meet a so called target fill rate. The fill rate is the percentage of demands that can be met at the time they are placed. The formula for the fill rate for base n given an Inventory Level S is the following:
tfrbase[n,S] := sum(basepipe[n]^j*evalf(exp(-basepipe[n]))/factorial(j), j = 0 .. S)
The variable basepipe[n] indicates the stock in the pipeline which consists of the average annual demand times the average lead time.
My goal is to find the integer S for each base n, so that the target fill rate for every base n is at least 85%. Thus I wish maple in the end to print the base n, the respective required stock level and achieved fill rate.
So my idea was to set up 2 loops, one for n and one for S and using indices. However, I don't get any results.
for n from 1 to 2 do
for S from 1 to 10 while tfrbase[n,S] <= tfr do
tfrbase[n,S] := sum(basepipe[n]^(S-j)*evalf(exp(-basepipe[n]))/factorial(S-j), j = 0 .. S)
I would be more than grateful, if you could help me.
I look forward to hearing from you,