Round Robin Schedules can be
used in a number of ways, from one-hour playoffs to long-term, multi-week
league formats. For league play, the intent is to establish a schedule that
will allow everyone in the league to play one another over the course of
several weeks. In a shorter timeframe, not everyone may complete all the
matches in a round-robin (within an hour, for example), but this format will
order play so that people don't end up playing each other
twice.
Step One: Think
"Counter-Clockwise" ... When you set up a round-robin with an even
number of players, you'll be making two columns, starting in the upper left and
numbering sequentially "down" until you are at half your total -- then you will
start back "up" until your last number is placed beside the "1" ... as shown
below (with six players in this example). This becomes your first round of
play.
Round #1 |
R#2 |
R#3 |
R#4 |
R#5 |
1-6 2-5 3-4
|
Since players will
not be scheduled to play against themselves, the number of rounds will equal
the number of players, less 1. |
Step Two: Leave the "1" in
the Upper Left Position ... To set up the next round, you'll take the
number directly beside the "1" and move it directly below the "1" -- then shift
all the remaining numbers counter-clockwise once again. Repeat the circular
pattern with the "6", pushing the rest along in front of it, for the rest of
the rounds -- always leaving the "1" in the upper left
position.
Round #1 |
R#2 |
R#3 |
R#4 |
R#5 |
1-6 2-5 3-4
|
1-5 6-4 2-3
|
1-4 5-3 6-2
|
1-3 4-2 5-6
|
1-2 3-6 4-5
|
Odd Number of Players? Add
a "Bye" and leave it in the upper left position ... With an odd number of
players, you'll add a bye week to even things up and start over, using the same
method, leaving the "bye" in the upper left position.
Round #1 |
R#2 |
R#3 |
R#4 |
R#5 |
R#6 |
R#7 |
Bye-7 1-6 2-5 3-4 |
Bye-6 7-5 1-4 2-3 |
Bye-5 6-4 7-3 1-2 |
Bye-4 5-3 6-2 7-1 |
Bye-3 4-2 5-1 6-7 |
Bye-2 3-1 4-7 5-6 |
Bye-1 2-7 3-6 4-5 |
Scheduling ... How
much time will you need to complete your round robin? You know how many rounds
you have [#/players, minus 1]. With ten players, you'll need nine weeks of play
[10-1=9].
How many matches will be
played each week? Divide by 2 (#/players per match). With ten players, you'll
need five matches scheduled each week.
How many matches will be
played altogether? Multiply the number of rounds by the number of matches per
week for your total [9 x 5 = 40].
With an odd number of
players, one match per week will be a bye, leaving you with one less court
needed per week. With odd numbers, go UP to the next number to determine the
number of rounds, and DOWN to the next number to determine how many matches per
week.
With 5 players ...
- 5 + 1 = 6 rounds/weeks of
play
- 5 - 1 = 4 ÷ 2 = 2 matches
per week
- 6 x 2 = 12 total matches/court
hours needed
With 8 players ...
- 8 - 1 = 7 rounds/weeks of
play
- 8 ÷ 2 = 4 matches per
week
- 7 x 4 = 28 total matches/court
hours needed
|