## Round-robin tournament

**Table of contents**

- Basic schedule
- Round-robin tournament
- Double round-robin tournament
- Macro
- Download workbook
- How to use custom function

According to wikipedia a round-robin tournament is a competition where all plays all. Excel is a great platform for building a round-robin tounament table and keeping scores.

You can use these custom functions below for creating a table for tennis, soccer, chess, bridge or whatever sport/competition schedule you want. At the very end of this post are instructions on how to use the custom functions. Let's start.

### Basic scheduling

The following vba code creates a schedule where each team plays once against another team.

Function roundrobin(rng As Range) 'Get Digital Help http://www.get-digital-help.com/ 'Define variables Dim tmp() As Variant, k As Long Dim i As Long, j As Long 'ReDimension tmp variable ReDim tmp(1 To (rng.Cells.Count / 2) * (rng.Cells.Count - 1), 1 To 2) k = 1 'Schedule everyone with everyone For i = 1 To rng.Cells.Count For j = i + 1 To rng.Cells.Count tmp(k, 1) = rng.Cells(i) tmp(k, 2) = rng.Cells(j) k = k + 1 Next j Next i 'Return array roundrobin = tmp End Function

As you can see it is not very complicated and the first team has home matches all the time. But if home and away doesn't matter this could useful.

Another bad thing with this custom function is that it doesn't split the schedule into rounds. A team can't play twice in the same round, obviously.

Also if you want the schedule to be somewhat random, this custom function is not for you.

The next custom function takes care of these three issues.

### Round-robin tournament

This custom function creates a round-robin tournament. It tries to distribute home and away rounds evenly and teams are randomly placed in the schedule.

Function RoundRobin2(rng As Range) 'This custom function adds a team automatically if the number of teams is uneven. 'Get Digital Help http://www.get-digital-help.com/ Dim tmp() As Variant, k As Long, l As Integer Dim i As Long, j As Long, a As Long, r As Long Dim rngA As Variant, Stemp As Variant, Val As Long Dim res, rngB() As Variant, result As String 'Transfer cell values to an array rngA = rng.Value 'Check if the number of teams are even If rng.Cells.Count Mod 2 = 0 Then rngB = rng.Value l = 0 Else ReDim rngB(1 To UBound(rngA) + 1, 1 To 1) For i = 1 To UBound(rngA) rngB(i, 1) = rngA(i, 1) Next i rngB(UBound(rngB, 1), 1) = "-" l = 1 End If ReDim tmp(1 To ((rng.Cells.Count + l) / 2) * (rng.Cells.Count + l - 1), 1 To 3) 'Randomize array rngB = RandomizeArray1(rngB) Val = (UBound(rngB, 1) / 2) 'Build schedule For i = 2 To UBound(rngB, 1) a = 1 For r = 1 To (UBound(rngB, 1) / 2) tmp(r + Val * (i - 2), 1) = i - 1 If (i - 1) Mod 2 = 1 Then tmp(r + Val * (i - 2), 2) = rngB(a, 1) tmp(r + Val * (i - 2), 3) = rngB(UBound(rngB, 1) - a + 1, 1) Else tmp(r + Val * (i - 2), 2) = rngB(UBound(rngB, 1) - a + 1, 1) tmp(r + Val * (i - 2), 3) = rngB(a, 1) End If a = a + 1 Next r 'switch places for all values except the first one For j = 2 To UBound(rngB, 1) - 1 Stemp = rngB(j, 1) rngB(j, 1) = rngB(j + 1, 1) rngB(j + 1, 1) = Stemp Next j Next i RoundRobin2 = tmp End Function

This user defined function creates a random schedule split into rounds, home and away are also somewhat evenly distributed through the schedule.

This table shows you how many times 6 teams play home and away for the entire tournament.

### Double round-robin tournament

To make sure every team has as many home as away rounds competitors play each other twice. It is a "double" round-robin tournament. The way it works is all play all twice, once home and once away.

Function doubleroundrobin(rng As Range) 'Get Digital Help http://www.get-digital-help.com/ Dim tmp() As Variant, k As Long, l As Integer Dim i As Long, j As Long, a As Long, r As Long Dim rngA As Variant, Stemp As Variant, Val As Long Dim res, rngB() As Variant, result As String, cc As Long 'Transfer values to an array rngA = rng.Value 'Check if the number of teams are even If rng.Cells.Count Mod 2 = 0 Then rngB = rng.Value l = 0 Else ReDim rngB(1 To UBound(rngA) + 1, 1 To 1) For i = 1 To UBound(rngA) rngB(i, 1) = rngA(i, 1) Next i rngB(UBound(rngB, 1), 1) = "-" l = 1 End If cc = ((rng.Cells.Count + l) / 2) * (rng.Cells.Count + l - 1) ReDim tmp(1 To cc * 2, 1 To 3) 'Randomize array rngB = RandomizeArray1(rngB) Val = (UBound(rngB, 1) / 2) 'Build schedule For i = 2 To UBound(rngB, 1) a = 1 For r = 1 To (UBound(rngB, 1) / 2) tmp(r + Val * (i - 2), 1) = i - 1 If (i - 1) Mod 2 = 1 Then tmp(r + Val * (i - 2), 2) = rngB(a, 1) tmp(r + Val * (i - 2), 3) = rngB(UBound(rngB, 1) - a + 1, 1) Else tmp(r + Val * (i - 2), 2) = rngB(UBound(rngB, 1) - a + 1, 1) tmp(r + Val * (i - 2), 3) = rngB(a, 1) End If a = a + 1 Next r For j = 2 To UBound(rngB, 1) - 1 Stemp = rngB(j, 1) rngB(j, 1) = rngB(j + 1, 1) rngB(j + 1, 1) = Stemp Next j Next i 'Copy schedule and change home to away and vice versa, this makes it a double round-robin tournament For i = cc + 1 To cc * 2 tmp(i, 1) = UBound(rngB, 1) - 1 + tmp(i - cc, 1) tmp(i, 2) = tmp(i - cc, 3) tmp(i, 3) = tmp(i - cc, 2) Next i doubleroundrobin = tmp End Function

Here is a table that shows you teams play as many home as away games.

### Macro

The macros in the workbook below allows you to create a match schedule. Go to sheet Macro and follow instructions.

Add teams or players to column A, then click "Round-robin tournament" button or "Double round-robin tournament".

A match schedule is created on a new sheet.

Conditional formatting separates rounds with a line, it makes the table easier to read.

Round-robin tournament

Sub rr() Dim Lrow As Long Dim rng As Range, tmp() As Variant Dim ws As Worksheet Application.ScreenUpdating = False Lrow = Worksheets("Macro").Range("A" & Rows.Count).End(xlUp).Row Set rng = Worksheets("Macro").Range("A2:A" & Lrow) tmp = RoundRobin2(rng) 'Insert new sheet Set ws = Sheets.Add ws.Range("A1") = "Round" ws.Range("B1") = "Home" ws.Range("C1") = "Away" ws.Range("A2").Resize(UBound(tmp, 1), 3) = tmp ws.Range("A1").Resize(UBound(tmp, 1) + 1, 3).InsertIndent 1 Columns("A:C").EntireColumn.AutoFit ws.Range("A1:C1000").Select Selection.FormatConditions.Add Type:=xlExpression, Formula1:="=$A1<>$A2" Selection.FormatConditions(Selection.FormatConditions.Count).SetFirstPriority With Selection.FormatConditions(1).Borders(xlBottom) .LineStyle = xlContinuous .TintAndShade = 0 .Weight = xlThin End With Selection.FormatConditions(1).StopIfTrue = False Application.ScreenUpdating = True End Sub

Double round-robin tournament

Sub droundrobin() Dim Lrow As Long Dim rng As Range, tmp() As Variant Dim ws As Worksheet Application.ScreenUpdating = False Lrow = Worksheets("Macro").Range("A" & Rows.Count).End(xlUp).Row Set rng = Worksheets("Macro").Range("A2:A" & Lrow) tmp = doubleroundrobin(rng) 'Insert new sheet Set ws = Sheets.Add ws.Range("A1") = "Round" ws.Range("B1") = "Home" ws.Range("C1") = "Away" ws.Range("A2").Resize(UBound(tmp, 1), 3) = tmp ws.Range("A1").Resize(UBound(tmp, 1) + 1, 3).InsertIndent 1 Columns("A:C").EntireColumn.AutoFit ws.Range("A1:C1000").Select Selection.FormatConditions.Add Type:=xlExpression, Formula1:="=$A1<>$A2" Selection.FormatConditions(Selection.FormatConditions.Count).SetFirstPriority With Selection.FormatConditions(1).Borders(xlBottom) .LineStyle = xlContinuous .TintAndShade = 0 .Weight = xlThin End With Selection.FormatConditions(1).StopIfTrue = False Application.ScreenUpdating = True End Sub

This function moves values in an array randomly.

Function RandomizeArray1(Arr As Variant) Dim temp Dim i As Long, j As Long, k As Long Dim result As Variant For k = LBound(Arr, 1) To UBound(Arr, 1) result = result & Arr(k, 1) & " " Next k result = result & vbNewLine For i = LBound(Arr, 1) To UBound(Arr, 1) j = Application.WorksheetFunction.RandBetween(LBound(Arr, 1), UBound(Arr, 1)) temp = Arr(j, 1) Arr(j, 1) = Arr(i, 1) Arr(i, 1) = temp For k = LBound(Arr, 1) To UBound(Arr, 1) result = result & Arr(k, 1) & " " Next k result = "" Next i RandomizeArray1 = Arr End Function

### Download excel *.xlsm file

### How to use a custom function

If you want the vba code in your own workbook, do this.

- Press Alt-F11 to open visual basic editor
- Click Module on the Insert menu
- Copy and paste all custom functions above to the code module

- Exit visual basic editor (Alt+Q)
- Save your workbook as an *.xlsm file

Now you can use the custom functions. Type your teams in a column. Select a blank cell range, 3 columns wide and many rows, you can extend this later if not all rounds show up.

Type =doubleroundrobin(cell_ref_to_your_teams), press and hold CTRL + Shift. Press Enter. Release all keys.

You can click on headers to sort table for easy finding.

### 3 Responses to “Round-robin tournament”

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**Contact Oscar**

You can contact me through this webpage

Oscar

Thank you for this work. This is exactly what I need for a small / local table football league we have just started. Thank you very much.

Guy

will try this later

Hi Oscar,

I found this during my searches for finding a "perfect" scheduler of round-robun tournament, and i have to say this is closely to perfection.

The only thing I can remark, is that system home-away is not so accurate, even in your example, Player 3 plays 2 times away (round 5 and 6) and Player 10 2 times (round 8 and 9), and exemples still there are, with Player 7...

Maybe a round robin tournament could not be perfect, regarding home-away matches ?