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sbTeamGolf

You and your 15 friends want to play golf in teams of 4 and you wonder how to come up with a fair distribution of teams?

Here you go:

sbTeamGolf_Screen

Option Explicit

Enum col_worksheet
    col_LBound = 0 'To be able to iterate from here + 1
    col_in_player_no
    col_in_player_name
    col_in_player_handicap
    col_blank_1
    col_in_team_stats
    col_blank_2
    col_in_sim_stats
    col_blank_3
    col_out_team_no
    col_out_player_name
    col_out_player_handicap
    col_blank_4
    col_stat_team_no
    col_stat_sum_handicap
    col_Ubound 'To be able iterate until here - 1
End Enum 'col_worksheet

Sub sbTeamGolf()
'Implements a simple Monte Carlo simulation to randomly generate teams,
'keeping track of the teams with the lowest standard deviation of
'handicap sums.
'This sub needs VBAUniqRandInt - google for sulprobil and uniqrandint.
'and the SystemState class - google for sulprobil and systemstate.
'Reverse("moc.LiborPlus.www") PB 01-May-2015 V0.2

Dim i As Long, j As Long, k As Long, n As Long
Dim teamcount As Long
Dim playersperteam As Long
Dim stdev_hc_sum As Double, min_stdev As Double
Dim s As Double
Dim v As Variant
Dim wsI As Worksheet
Dim state As SystemState

'Initialize
Set state = New SystemState
Set wsI = Sheets("Input")
teamcount = wsI.Range("TeamCount")
wsI.Range("PlayersPerTeam").Calculate
playersperteam = wsI.Range("PlayersPerTeam")
n = teamcount * playersperteam
ReDim hc(1 To n) As Double
ReDim mina(1 To n) As Double
ReDim hc_sum(1 To teamcount) As Double
For j = 1 To n
    hc(j) = wsI.Cells(j + 1, col_in_player_handicap)
Next j
min_stdev = 1E+300

k = 1
Do
    v = VBUniqRandInt(n, n)
    For i = 1 To teamcount
        hc_sum(i) = 0
        For j = 1 To playersperteam
            hc_sum(i) = hc_sum(i) + hc(v((i - 1) * playersperteam + j))
        Next j
    Next i
    stdev_hc_sum = WorksheetFunction.StDev(hc_sum)
    If stdev_hc_sum < min_stdev Then
        For i = 1 To n
            mina(i) = v(i)
        Next i
        min_stdev = stdev_hc_sum
        Application.StatusBar = "Iteration " & k & ", new min stdev = " & min_stdev
    End If
    k = k + 1
Loop Until k > wsI.Range("SimCount")

wsI.Range(wsI.Cells(2, col_out_team_no), _
    wsI.Cells(1000, col_stat_sum_handicap)).ClearContents
       
For i = 1 To teamcount
    s = 0#
    For j = 1 To playersperteam
        wsI.Cells(1 + (i - 1) * playersperteam + j, col_out_team_no) = i
        wsI.Cells(1 + (i - 1) * playersperteam + j, col_out_player_name) = _
            wsI.Cells(1 + mina((i - 1) * playersperteam + j), col_in_player_name)
        wsI.Cells(1 + (i - 1) * playersperteam + j, col_out_player_handicap) = _
            wsI.Cells(1 + mina((i - 1) * playersperteam + j), col_in_player_handicap)
        s = s + wsI.Cells(1 + mina((i - 1) * playersperteam + j), col_in_player_handicap)
    Next j
    wsI.Cells(1 + i, col_stat_team_no) = i
    wsI.Cells(1 + i, col_stat_sum_handicap) = s
Next i
wsI.Cells(2 + teamcount, col_stat_team_no) = "StDev"
wsI.Cells(2 + teamcount, col_stat_sum_handicap) = min_stdev
End Sub

You can download a 36 KB Excel © sample file which created the output shown  here. Please read my disclaimer.

This program combines several features which I like to use:

1. The class SystemState helps to reduce runtime
2. With enumerations I organize access to
    worksheet columns flexibly - for additional columns or
    deleted columns you just amend the enumeration,
    and the program will re-adjust automatically
3. Reshuffle a set of elements with UniqRandInt.
4. Sample data I generated with sbGenerateTestData.

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