A reasonable schedule is the guarantee for the NBA to play well.
When evaluating the rationality and fairness of the 2007-08 season schedule, this paper first stores the schedule information in the matrix, and then designs an algorithm to obtain the required information from the matrix, and obtains a series of factors that affect the rationality and fairness, such as the number of away games and back-to-back games of each team. At the same time, the fans' evaluation of the schedule is regarded as a part of evaluating the rationality of the schedule, and the rationality and fairness of the schedule are quantified by defining the satisfaction of the home and away games and the wonderful coefficient of the game. By using MATLAB software, the values of various indexes in the 07-08 season are calculated: fairness coefficient 0.975, wonderful coefficient 0. 1455, and comprehensive evaluation of the 07-08 season schedule 0.5602, which is in line with NBA competition regulations.
The second question, first of all, we define it as the combination of the two sides of the game, which means that the team challenges the team away from home. Numeric the situation of the game by function. On the basis of the first question, an algorithm is designed to schedule the 2008-09 season, considering the balance of home and away games, the range of back-to-back games, the constraints of games in various districts and leagues, and the maximization of the wonderful coefficient. The mathematical model for evaluating the rationality and fairness of the schedule established in the first question is used to evaluate the schedule designed for the 2008-09 season and draw a conclusion. The fair coefficient is 0.825, the wonderful coefficient is 0. 1630, and the comprehensive evaluation of the 2008-09 season schedule is 0.4940.
Keywords: quantitative analysis of the rationality and fairness of the matching table generation algorithm
Formulation and evaluation of NBA schedule
I. Restatement of the problem
A reasonable schedule is the guarantee for the NBA to perform brilliantly. Wienicke is mainly responsible for the specific schedule of each team, but no matter what Wienicke does, there are always some teams complaining. He can only make the timetable as fair and reasonable as possible. Wienicke set an upper limit of back-to-back 24 pairs per season and a lower limit of 15 pairs. In addition, due to historical reasons, some teams' games will be particularly eye-catching, and the stars in the team may also be a factor affecting the schedule. In addition, the schedule of some festivals will be different. Obviously, the weekend game is relatively tense, and every Sunday seems to have a wonderful game, such as the annual Christmas War. All these have increased the complexity of the competition arrangement to a certain extent. Requirements: Discuss the rationality and fairness of the 2007-2008 NBA regular season schedule. According to the model and conclusion of the question (1), the model of NBA regular season schedule is given, and the NBA regular season schedule in 2008-2009 is formulated and evaluated.
Second, the basic assumptions of the model
1, suppose to examine whether a schedule is reasonable, mainly consider the following three factors: whether it meets the requirements of the competition system, team satisfaction and fan satisfaction.
2. Assume that the ranking of a team and the number of stars it has can explain the degree of attention of this team.
3. Assume that each team's satisfaction with the schedule depends only on their satisfaction with the home and away games and back-to-back games.
4. Assume that fans' satisfaction with the schedule mainly depends on the arrangement time of important games.
5. It is assumed that the games in the quarter of 2008-09 are fixed on the weekend match day, and the games on the non-weekend match day are roughly equal.
6. Suppose that when arranging the schedule of the 08-09 season, only the games that are not arranged on holidays are considered, and the influence of other factors is not considered.