Note: This is a not an Excel tips post. It is a diary of one of the most awesome conferences I have ever attended.
I just finished attending PASS Business Analytics conference in Santa Clara (USA) and am now heading back home to India. And it has been one of the most fun, uplifting and educational experiences of my life. I met so many remarkable people in this trip.
Just to name a few, I met Dan Fylstra (one of the pioneers of VisiCalc & founder of Solver), Bob Phillips, Ken Puls, Jordan Goldmeier, Oz Du Soliel, Rick Grantham, Szilvia Juhasz, Zack Baresse, Kevin Jones, Avi Singh, Chris Webb, Rob Collie, Bill Jelen, Scott Senkeresty, Matt Allington, Jon Acampora, Marco Russo & Jen Stirrup.
I also felt fortunate to meet many of Chandoo.org fans, followers, customers & supporters who attended the conference. It was non stop fun for 3 days.
As if meeting all these great people, sharing a conversation, beer, snack, moment or ride (in a cramped backseat with 2 other Excel MVPs) with them was not enough, I also got to attend few of the amazing sessions at PASS BA.
- I learned CUBE formulas from Bob Phillips
- Introduction to R from Jen Stirrup
- Power Query trickery from Chris Webb
- Charting best practices from Jordan
- Keynote presentations by Mico & Carlo
I wish I had the time to attend more sessions. But I was busy teaching a few or meeting people.
All in all, in one word, PASS Business Conference has been AWESOME.
Couple of funny & interesting experiences from the conference:
5 MVPs in a car
At the end of day 3 (April 22nd), a bunch of us were sitting at the hotel lobby bar and chatting. When I asked Ken (Excelguru) what they are doing for dinner, Ken said Zack is taking him for dinner. Then Zack looked at me and said, “why don’t you tag along?”
By then we were 4 people – Ken, Zack, Wessex Bob & myself.
We all agreed to head back to rooms, fresh up & meet downstairs in 20 minutes.
When we all came down, Jordan was also at the bar area. So we asked him to join us.
Jordan, Bob & I shared the backseat and lots of laughs all the way to some upscale sea food restaurant in another suburb of San Francisco.
Here is a selfies from backseat of Zack’s car.
Bob, Jordan & Chandoo
We meet Kevin Jones there and we all share really amazing food, insightful (often hilarious) conversation. As Ken recently quit his job to be self-employed, we all shared our words of wisdom with him.
But the night is not over yet
We reached the hotel at 9:30. I find Rob, Scott, Matt, few members from Microsoft Excel & Power BI teams all having drinks at the lobby bar. So I joined them for more laughs, conversation & selfies.
Here is a pic with Rob, Scott, Matt & Ken
Chandoo, Rob, Matt, Scott & Ken
By the time I head to my room it was 11:30 PM.
Dany’s Recalc or Die stricker
Dany Hoter from Excel team has this cool laptop sticker.
Almost all the Excel MVPs at the conference in one epic pic
And here it is:
Zack, Jon, Bob, Ken, Chris, Marco, Gregory
Cat, Oz, Chandoo, Rick & Szilvia
My first impressions of everyone
This is the first time I met so many Excel MVPs & bloggers. Here is the first thought that came to me when I saw them.
- Ken: He is big!!! and he talks fast
- Oz: What a hat! and whats with the Sriracha hot sauce?!?
- Rick: he means business
- Dan Fylstra: Wow, he is so cool & down to earth
- Scott: Boy his laughter is really loud
- Avi: small packet of energy & enthusiasm
- Bob: funny and awesomely English
Thank you PASS & everyone who showed up
Thanks a lot to the PASS team for inviting me to this conference. I had an awesome time.
Also thanks to everyone from Chandoo.org community who signed up for this event & made it even more awesome. Thank you.
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