给定一定的限制随机循环联赛时间表

Question

我正在尝试编写一个脚本来随机化锦标赛的循环赛程表。

约束是：

8 队
两队对阵，一次在主场，一次在客场
14周，每队每周一场比赛

我的代码在理论上工作正常，但当它生成时，它有时会在某些星期冻结，因为那一周只剩下两支球队，而且两种可能的比赛都已经进行了。我使用一个 numpy 数组来检查已经进行了哪些比赛。

目前我的代码如下所示：

import random
import numpy

regular_season_games = 14
regular_season_week = 0

checker = numpy.full((8,8), 0)

for x in range (0,8):
    checker[x][x] = 1

teams_left = list(range(8))

print ("Week " + str(regular_season_week+1))

while (regular_season_week < regular_season_games):

    game_set = False
    get_away_team = False

    while get_away_team == False:
        Team_A = random.choice(teams_left)
        if 0 in checker[:,Team_A]:
            for x in range (0,8):
                if checker[x][Team_A] == 0 and x in teams_left:
                    teams_left.remove(Team_A)
                    get_away_team = True
                    break

    while game_set == False:
        Team_B = random.choice(teams_left)
        if checker[Team_B][Team_A] == 0:
            teams_left.remove(Team_B)
            print(str(Team_A) + " vs " + str(Team_B))
            checker[Team_B][Team_A] = 1
            game_set = True

    if not teams_left:
        print ("Week " + str(regular_season_week+2))
        teams_left = list(range(8))
        regular_season_week = regular_season_week + 1

Answer 1

我使用了 here 中调度算法的改编来实现这一点。基本上，我们会生成一个团队列表 - list(range(8)) - 并选择 0 vs 4, 1 vs 5, 2 vs 6, 3 vs 7 作为我们的初始对决。然后我们旋转列表，排除第一个元素，并选择作为我们的下一场比赛 0 vs 3, 7 vs 4, 1 vs 5, 2 vs 6。我们继续以下列方式进行，直到我们完成所有配对。

我已经为主场和客场比赛添加了处理程序 - 如果已经进行了配对，我们将进行相反的 home/away 配对。下面是代码，包括一个检查游戏列表是否有效的函数，以及一个示例输出。

代码：

import random

# Generator function for list of matchups from a team_list
def games_from_list(team_list):
    for i in range(4):
        yield team_list[i], team_list[i+4]

# Function to apply rotation to list of teams as described in article
def rotate_list(team_list):
    team_list = [team_list[4]] + team_list[0:3] + team_list[5:8] + [team_list[3]]
    team_list[0], team_list[1] = team_list[1], team_list[0]
    return team_list

# Function to check if a list of games is valid
def checkValid(game_list):
    if len(set(game_list)) != len(game_list):
        return False
    for week in range(14):
        teams = set()
        this_week_games = game_list[week*4:week*4 + 4]
        for game in this_week_games:
            teams.add(game[0])
            teams.add(game[1])
        if len(teams) < 8:
            return False
    else:
        return True


# Generate list of teams & empty list of games played
teams = list(range(8))
games_played = []

# Optionally shuffle teams before generating schedule
random.shuffle(teams)

# For each week -
for week in range(14):
    print(f"Week {week + 1}")

    # Get all the pairs of games from the list of teams.
    for pair in games_from_list(teams):
        # If the matchup has already been played:
        if pair in games_played:
            # Play the opposite match
            pair = pair[::-1]

        # Print the matchup and append to list of games.
        print(f"{pair[0]} vs {pair[1]}")
        games_played.append(pair)

    # Rotate the list of teams
    teams = rotate_list(teams)

# Checks that the list of games is valid 
print(checkValid(games_played))

示例输出：

Week 1
0 vs 7
4 vs 3
6 vs 1
5 vs 2
Week 2
0 vs 3
7 vs 1
4 vs 2
6 vs 5
Week 3
0 vs 1
3 vs 2
7 vs 5
4 vs 6
Week 4
0 vs 2
1 vs 5
3 vs 6
7 vs 4
Week 5
0 vs 5
2 vs 6
1 vs 4
3 vs 7
Week 6
0 vs 6
5 vs 4
2 vs 7
1 vs 3
Week 7
0 vs 4
6 vs 7
5 vs 3
2 vs 1
Week 8
7 vs 0
3 vs 4
1 vs 6
2 vs 5
Week 9
3 vs 0
1 vs 7
2 vs 4
5 vs 6
Week 10
1 vs 0
2 vs 3
5 vs 7
6 vs 4
Week 11
2 vs 0
5 vs 1
6 vs 3
4 vs 7
Week 12
5 vs 0
6 vs 2
4 vs 1
7 vs 3
Week 13
6 vs 0
4 vs 5
7 vs 2
3 vs 1
Week 14
4 vs 0
7 vs 6
3 vs 5
1 vs 2
True

给定一定的限制随机循环联赛时间表

Randomise round-robin league schedule given certain constraints

python

python-3.x

algorithm

random

sports-league-scheduling-problem

代码：

示例输出：