Michelle, Who is a sweet lady and regular reader of the blog sent me this question via e-mail. (aside: why is she a sweet lady? Because she saw the new cell post and sent me pics of her son and told Jo and me are about to encounter most amazing experiences of our lives 🙂 )
I handle the invoices we give to our customers (we build and sell furniture), but sometimes such customers can be stores or just regular folks that come directly to us.
For the stores I have to give an invoice that has a NCF number which is a tax related number that increases the cost in 16% but stores require this number which must be unrepeatable. Each company has a “list” of numbers that they can provide their customers. Regular customers (not stores) have no interest in this number, obviously trying to avoid the 16% increase in the price!
So far what I did was create a database of our customers with the basic info of each one. Many of our customers keep buying so this way I just have to place myself in the invoice and select from a list and with a simple vlookup I get the rest of the customer’s information: phone, address and RNC number.
Now… the RNC is the number that tells me if it’s a store or not. Stores must have their registration number (RNC) in order to receive invoices with NCF (boring, I know… I’m gonna get to the point in a sec). Ok, so if I choose my dear customer “Chandoo Enterprises” and this store has RCN, then I automatically need for the invoice to pull form “my list” of government assigned NCF numbers, the next one in line. If in my previous invoice (say invoice 1455) to another store I used NCF number A010010010100000002 (that’s how they look) for Chandoo Enterprises -invoice #1456- I am going to need the next number in line A010010010100000003 and so on. Now, say that my next invoice (1457) is not to a store but to John Doe, for him I don’t want an NCF number to show.
I keep thinking that there’s a very stupid and simple way to do this but I just can’t nail it!! My problem is to get to a formula that will work only when the RNC field has information and therefore avoiding NCF numbers to appear on non-store customers (not so complicated I think) and that it chooses the next NCF number in line, no repeating… this is the part that I have no idea how to do!! Is there a way to solve this without using VBA? VBA is scary!! Hehehe
Okay, that is a big question, but may be we can come up with a small solution for it.
If I understand it correct, Michelle is looking for something like this:
So, in order to generate such numbers,
- First we will make 2 named ranges – customer_list and ncf_numbers. You know what they mean.
- Now, we will enter the customer name in column B, and based on that we will fetch RNC number in column C.
- For this, we will use VLOOKUP () formula. The simplest formula looks like this: VLOOKUP(B5,customer_list,4,FALSE)
- But, simplest formula also has problems – it doesn’t handle errors and can return 0 when the RNC number field is blank. So we will add some fat to it, mainly on the front side. It now looks like this: =IF(ISERROR(VLOOKUP(B5,customer_list,4,FALSE)),””, VLOOKUP(B5,customer_list,4,FALSE))
- In the third column, we will fetch the next available NCF number if the customer has an RNC. For this, we use a simple IF() and COUNTIF() formulas along with INDEX() formula. We write: =IF(OR(C5=””,C5=0),””,INDEX(ncf_numbers,COUNTIF($C$5:C5,”RNC*”))).
- Above formula simple fetches the nth NCF number from the named range ncf_numbers if RNC number is not blank.
- That is all. We now have a simple logic to generate invoice numbers that suit tax authority’s whims and fancies.
Download the example workbook:
You can download the excel tutorial workbook and see how you can generate such invoice numbers yourself.
More material if you are getting stuck with formulas
50+ Excel Formulas – Explained in plain English, Excel formula tutorials, Excel array formula examples
19 Responses to “How to Distribute Players Between Teams – Evenly”
An excellent solution, especially for large data sets.
Another solution without using solver would be to assign the player with the highest score to Team 1, the 2nd to team 2, 3rd to team 3, 4th to team 3, 5th to team 2, 6th to team 1, 7th to team 1 and it continues. This method would end up with a Std Dev of 0.001247219. This works best with a distribution with lower Std Dev for the dataset.
Full Disclosure: this is not my idea, remember reading something a few years ago. Think it may have been Ozgrid
thinking back I now remember why I read about it. About 10 years back I had to distribute around 300 team members into 25-30 odd teams. Used this method based on their performance scores. I used the method I described to do this and the distribution was pretty fair.
Solver would have saved me a ton of time though 🙂
I think the issue with you first Solver approach was that you took the absolute value of the sum of team deviations (which should always be zero except for rounding) instead of the sum of the absolute values (which is a reasonable measure of how unbalanced the teams are).
Here's another simple algorithm you could use: you start from the top (with players sorted from high to low), and at each step allocate the next player to whichever team has the smallest total so far. You can implement it dynamically with some formulas so it will update automatically when the data changes.
If the scores were more widely distributed (so that this might end up with not all teams the same size), you could add a constraint to only pick among the teams which currently have fewest players at each step, or just stop adding to any team when it hits its quota.
When I tried it on the sample, I got the three teams below, with a STDEV of 0.000942809 (i.e. about half of what Solver got to).
Team 1: John, Hugo, Tom, Josh, Eric, Zane, Charles, Andrew
Team 2: Barry, Michael, Kenny, Joe, Xavier, Patrick, Oliver, William
Team 3: Henry, Steven, Ben, Frank, Kyle, Edward, Cameron, Lachlan
Thanks for sharing!
Hi,
I was looking at all the solutions and this is closest to what I intended to do. I am dividing a bunch of players into 3 soccer teams. Players availability is also a factor while deciding the teams.
So the steps the excel needs to do is as follows:
1) In availability column if "yes" go to next
2) Equally divide 'Goalkeepers', 'Strikers', 'Defenders' basis their quality
So the end result gives each 3 teams a balance of players playing at different positions.
Can this be done on Google spreadsheet with only availability as an input from the user and rest calculates by itself.
Sorry for asking such a pointed question, but I have been struggling to find a solution for it for sometime now!
Hi Ishaan,
I am working on a similar problem at the moment, so I am wondering if you ever found a solution and if you are willing to share what you did.
Hi everyone, this is a variation of the famous Knapsack Problem https://en.wikipedia.org/wiki/Knapsack_problem.
I had to use a VBA implementation recently as part of a problem, where we ar trying to allocate teams of an organization into different locations (we are a large company with many different team). The goal was to optimally allocate teams to individual buildings without putting too many teams into one building and not splitting teams apart.
As we had around 400 teams of different sizes, solver couldn't handle it anymore. Luckily there is a Knapsack algorithm implementation in VBA readily available on the internet :).
I also went with a heuristic approach first!
An interesting mathematical solution but what if Eric and Xavier can't stand each other or Patrick is best friends with Steven - the real life problems that effect "even" teams.
@Joe
You can add more criteria like
If Eric and Xavier can't stand each other
=OR(AND(E15=1,E16=1),AND(F15=1,F16=1),AND(G15=1,G16=1))
It must be False
If Patrick is best friends with Steven
=OR(AND(E5=1,E17=1),AND(F5=1,F17=1),AND(G5=1,G17=1))
It must be True
Note that the 2 formulas above are exactly the same
except for the ranges
One must be True = Friends
One must be False = Not Friends
Nice Post!
Just one question What if number of players are not even or equally divisible.
Nice post Hui!
I download your workbook and just try to change in options the Precision Restriction from 10E-6 to 10-8 and the Convergence from 10E-4 to 10E-10. The process take almost the same time, but the results was great.
The standard deviation I got was 0,000471.
Team 1: John, Tom, Kenny, Frank, Eric, Xavier, Edward, Zane
Team 2: Steven, Hugo, Ben, Joe, Josh, Oliver, Cameron, William
Team 3: Barry, Henry, Michael, Kyle, Patrick, Charles, Andrew, Lachlan
Great application of Solver! Thanks for the link!
Great explanation. Well done... However, I tried with 6 teams of 4 players and solver never did finish.
How about vba code for the same data set.
I have 3 column A B C wherein A has text and B has number Wherein C is blank. And in C1 been the header C2 where I want the name to come evenly distributed the number which is in Column B.
My Lastcolumn is 1000.
Sorry if I'm being slow here, but how is 'Team Score' calculated? I've gone through the explanation several times but it seems to just appear.
@Hrmft
This process uses the Solver Excel addin
Solver is effectively taking the model and trying different solutions until it gets a solution that meets all the criteria
Then solver puts the solution into the cell and moves to the next cell
So yes it appears to "just appear"
Hi ! Thank you so much ! Works great 🙂
I cannot get the fourth Equation to work in my excel spreadsheet
You have =($E$2:$G$25=0)+($E$2:$G$25=1)=1 as a SUMIF solution, I have, =($F$2:$H$13=0)+($F$2:$H$13=1)=1 as my solution but it does not work. The only thing I changed is the ranges. Any suggestions?
Thank you.
Jim
I cannot get the fourth Equation of TURE or FALSE statements to work in my excel spreadsheet You have =($E$2:$G$25=0)+($E$2:$G$25=1)=1 as a SUMIF solution, I have, =($F$2:$H$13=0)+($F$2:$H$13=1)=1 as my solution but it does not work. The only thing I changed is the ranges. Any suggestions?
Sorry I left some of it out in the previous question,
Thank you. Jim