<img src =
\"http://js2.pp.sohu.com.cn/ppp/images/icons/ico_share2.gif\" onClick = \"window.open ( \'http://js2.pp.sohu.com.cn/ppp/images
/ icons/ico_share2.gif \') \"onerror =\" this.src =\' http://cache.soso.com/img/blog/p1.gif \' \"onload =\" addjustimg (this) \"TYPE =\" audio / mpeg
\"\"
Phoenix Suns
Northwest Sub-Division: 21-25 southwest sub-Division: 26-30
【Note】: time (ie: the same number of teams back to back), that arranged back to back on the number of fully satisfied.
1), dealing with a few games back to back games
3, audience satisfaction with the arrangements
3, the audience satisfaction rating of arrangements Analysis
1.
Advantages and disadvantages of the model
Milwaukee Bucks
Record 30 teams in the rankings and then the 2007-2008 season information matrix
Atlanta Hawks
l plant culture audience satisfaction, especially since some important games in the timing of the
2) The team name for team number, its number as in Table 1
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 3 4 3 4 4 4 0 4 4 4 4 4 3
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 0 4 4 3 3 3 4 4
12
The significance of symbols
1.3 Different arrangements for the district tournament tissue culture callus test
(Ie the first team ranked No. 30).
, Said the team is the weakest
The use of MATLAB software, we can get a store of all teams in the 2007-2008 season, the number of road games market values of the array.
Golden State Warriors
The use of MATLAB software, we can obtain records of the first team with the first team () in the 2007-2008 season, the number of the playing field matrix.
4 3 3 4 4 3 4 4 3 4 4 4 0 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2), \”\” or \”\” the six, saying that the same sub-district 2 teams for banana tissue culture plant competition.
According to the prescribed number of game field two teams in need of four games.
5
3.2 Algorithm Design
11
Stored a team away games in the 2007-2008 season, the number of array
Against the corresponding description of the situation and circumstances the playing field against the number of matrix
6
4 4 4 0 4 4 3 4 4 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
tissue culture propagation Denver Nuggets
29
Dallas Mavericks
(Ie: the first team back to back number 0), expressing the number of fully satisfied with back to back arrangement.
Sub-Atlantic Division
And for all sequences and multiplied by the maximum value.
(That is abbreviated)
Means that the teams back to back on the arrangements for the number of satisfaction.
Los Angeles Lakers
Western Division
tissue culture papaya team and team contests coefficient
4) share the same venues of the team\’s home games can not be carried out on the same day.
6, assuming that the arrangements in the 08-09 season, only to consider arrangements for holidays where no competition, do not take into account other factors, the impact of the game.
3) Small Division teams of each region with a different contest each team play two
Indiana Pacers
4 3 4 3 4 4 4 4 3 3 0 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
19
Minnesota Sen tissue culture callus forest wolf
In order to quantify the influence of star description, we can do the following address:
[3] database www.NBA.com 08 Nian 07 Yue 24 Ri
【Note】: time (ie, the first team ranked No. 1).
, Said that the team the strongest.
2.2.2 each team to discuss the number of games back to back games
26
The number of pairs of back to back for the team satisfaction index
tissue culture plant propagation development and evaluation of
[0 4 4 4 4 3 3 4 4 4 4 3 4 3 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2,21,11,17,24,26,7,15,19,29,4,13,5,9,28]
3 3 4 4 4 0 4 4 4 4 4 4 3 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
Philadelphia 76banana plant tissue culture were
[1] ZUO Xiao-Ling and other \”Discrete Mathematics\” Shanghai Shanghai Science and Technology Literature Publishing House in 1981
Issue a model building
t
17
A total of six Division, the race team\’s number region, respectively:
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 3 3 3 4 4 4 4 4 4 0 4
3. Matrix generated by the algorithm match the table
The game time in the morning Beijing time is recorded as: 1
d
4, banana tissue culture plant assumes fans satisfaction depends primarily on the scheduling of important matches.
1
Factor for the team\’s overall strength.
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 4 4 4 4 3 4 3 4 4 4 4 4 3 3
2.2.1 The discussion of the number of home and away teams
4 4 3 4 3 4 4 0 4 4 4 3 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
The first team playing the game than the organogenesis plant tissue culture, when the exciting factor
According to the relationship between the different teams and each team and the playing field the required number of 900 species can be against the situation can be divided into the following four categories:
Question 2 of the data analysis and model solution
(Which states that the first team ranked in the 07-08 season)
4 4 4 4 0 4 4 3 3 4 4 3 4 3 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
=
[0.6000,0.6000,0.2000,0.2000,0.6000,0.6000,0.2000, 0.2000, 0.2000
plant culture in the question 2, first of all we will be defined as a combination of games against the two sides, saying the challenges team away team.
Through the function value of the case against.
On the basis of the problem one, taking into account the number of each team home and away balance, the number of games back to back the scope of each team in various districts League match between the number of constraints and the exciting field coefficients to maximize the indicators to design an integrated exhaust algorithm
of the 08-09 season, the schedule, and use the issue in a schedule established by the evaluation of reasonableness and fairness of the mathematical model of the design of the 08-09 season, to evaluate the schedule obtained conclusions.
Fairness coefficient of 0.825, coefficient of 0.1630,08-09 exciting season for a comprehensive assessment of 0.4940.
21
8
the problem to a plant culture already know, each team watch the exciting competition between the coefficient of that team and when teams play exciting factor.
Team satisfaction with the number of pairs of back to back
The development and evaluation of
Therefore, the impact of audience satisfaction with the two main factors are: \"Each team\'s strength,\" and \"star\'s influence.\"
3), increased competition ornamental
This set up against the situation and the mutual transformation between natural numbers.
Cleveland Cavaliers
plant culture San Antonio Spurs
New Jersey Nets
The influence of vector-star teams:
5, assuming that 08-09 quarter race every weekend match play field day the number of fixed, non-weekend day of competition the market is roughly the same number.
3), \"and\" or \"\" and other six cases, both teams will be 3-4 games.
If carried out three games, then a team playing a home 2 away 2 away, or a home,; if it carried out four games, then a team playing two home two-game road,
: Corresponding to Beijing (t)
The results of an analysis of the problem
2) model of shortcomings: in the strike of the algorithm, only a numerical representation of the expression, are not used against the specific situation of the team of plant culture are given convenient access; failure to fully automated processing of data.
2) Sub-Division of each team with the points outside the stadium, but in the same area in a contest for each team meets three to four times.
It provides information for the game: 11 months 7 Ri (Zhousan) for the game match, the visiting team for the New Orleans Hornets, the home team for the Los Angeles Lakers, am Beijing time.
As each team in the 2007 - 2008 season, to conduct a total of 82 games, so in the case of absolute fairness, each team in the season, plant culture of the road number and home number should be equal, each of 41 games.
l the strength of each team
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 3 3 4 4 4 3 4 3 0 4 4 4 4
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 3 4 4 4 3 4 3 4 4 4 4 4 0]
Toronto Raptors
】 【Lemma for sequences and, if satisfied:, plant culture is the product of two sequences are inequality:
Detroit Pistons
Each team to use an array to store the number of games back to back games.
MATLAB can be used to calculate the value of each element in the array (procedure see Appendix 2).
Said that the first team to participate in a number of games back to back.
2.2 The arrangements for the team to the satisfaction of the analysis of
Used to indicate a match against the situation in which the meaning is: Team Challenge teams away.
Said that the 2007-2008 season with the team and the team against the form of this plant culture under a number of the playing field.
Because there are 30 teams, so a total of 900 against the situation.
The game field in accordance with the prescribed number of each team\’s game field number:
Central Sub-Division
Assumptions: the comprehensive strength and the star effect on the influence of the team have the same weight, there are: The first team to attract the audience factor, which is the first game of the wonderful team factor:
1) The date of the game dealing with: the date number.
The 07-08 season, October 31 as the first day, recorded as \”1\”, plant culture numbered day after the previous day\’s number plus one.
For example: November 1 they should be recorded as \”2\”, November 2 Diary of a \”3\” … … and so on.
Said: teams and team carried out under the form of this against the total number of the playing field
Teams and teams in this bracket carried out under the right track the number of
Elements that the 2007-2008 season and number of teams and number of games the team conducted several field.
Is a completely symmetric matrix, its diagonal elements that the team can not play itself.
() Values of 3 or plant culture in 4, which satisfied the \”partition outside of each team with the partition, but in the same area in a contest for each team meets three to four times\” and \”Every
a small Division team in the regular season with a small stadium in the same team play four games. \”
() Values of 2, which meet the \”small Division teams of each region with a different contest each team play two.\”
Pacific Sub-Division
In order to quantitatively describe the team\’s strength, we define
1), competition will not be carried out,
3.2.1 Algorithm requirements:
2, the team on the evaluation of satisfaction
Portland Trail Blazers
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 0 4 4 4 4 4 3 4 3 4
plant culture a problem restatement
3) Small Division teams of each region with a different contest each team two games.
Boston Celtics 1
3.2.2 Algorithm Design:
The first team to the first day with the first team until the team as the home team as the two teams clash away the number of
2), each team home and away the number of balance and to meet the requirements of each team match between the field number (from 2.2 matrix has been generated to meet the requirements).
3) match the corresponding treatment Beijing:
1),, plant culture, said the team and the game itself, in fact, the competition will not be carried out.
The influence of the starter recorded as: 2; Substitute the influence of mind: 1.
By the 07-08 season all-star list of available:
Sacramento Kings
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 0 4 4 4 3 4 3 4 3 3 4 4 3
The team home and away, taking into account the number of complaints against them because they do not force more than a few more away, in order to quantitatively explain the number of home and away team on the level of satisfaction we define
plant culture reference to the calendar and the United States 08-09 years of basic information on legal holidays, set 2008 Nian 11 Yue 1 Ri (Zhou Liu) 2009 04 Yue 17 Ri (Zhou Wu) for the race day interval.
One weekend day, 48 days, non-weekend day there are 116 days.
Matchday a total of 164 days.
Here Matchday generation process.
Southeast Sub-Division: 11-15 Pacific Sub-Division :16-20
Storage of the team back to back games in the 2007-2008 season, the number of array
Should try to achieve the automated data processing; to do a lot of surveys to obtain data from the plant culture to do to amend the definition of the various factors to make it better reflect the schedule of the indicators.
1) Each district team in the regular season with a sub-team in the same race four
30
6, References
4 4 3 3 4 3 4 3 4 4 4 4 4 4 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 3 3 4 4 3 4 3 4 4 4 0 4 4 4
(For the plant culture to take more than symbolic)
2. To improve the direction of
1, the arrangement of the 2007-2008 season, the inspection on the four mandatory requirements
16
2, the team\’s satisfaction with the evaluation of the results of analysis of
Array [30] stores the number of road games the teams.
MATLAB can be used to calculate the value of each element in the array (procedure see Appendix 2).
Which states that the first team\’s away game a few months.
[2] Qiong Sun Qu Gong and other \”mathematical experiments\” Beijing High-plant culture, etc. Education Press in 2004
0.0044,0.0011,0.8100,0.6944,0.3600,0.4900,0.7511,0.2500,0.5378,0.0711,0.0100];
14
Key words: quantitative analysis Cup table generation algorithm rationality and fairness of
5, model evaluation and improvement of the direction of
The teams overall strength coefficient vector:
4), and that a different stadium to compete between the two teams.
According to the prescribed number of game field, both teams will be two games.
The list is: Yao Ming (Rockets) Kobe Bryant (Lakers) Tim Duncan (San Antonio) Allen Iverson (Denver) plant culture Carmelo Anthony (Nuggets) LeBron – James (Cleveland) Dwight – Howard (Orlando Magic) Chris Bosh (Toronto)
Dwyane Wade (Heat) Jason Kidd (New Jersey) Steve Nash (Suns) Paul (Hornets) Amare Stoudemire (Suns) Dirk Nowitzki (Mavericks) Carlos Boozer (Jazz) – David West (Hornets
) Roy (Trail Blazers) – Ray Allen (Celtics) Chauncey Billups (Detroit Pistons) Antawn Jamison (Wizards) Joe – Johnson (Atlanta) Hamilton (Pistons) – Paul Pierce (Boston Celtics
) Rasheed – Wallace (Detroit Pistons)
1.1 Sub-regional arrangements for inspection plant culture inspection
28
9
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 4 3 3 4 4 4 4 0 3 4 3 4 4
Team Challenge Team will be away the game maps to a value function
: Home team team name number (z)
You can see, this 30 team, including 28 teams in the 2007-2008 season, the number of 41 games away, and only one team (Denver Nuggets) and the number of 40 games away, a team (
Portland Trail Blazers) and the number of 42 games away.
We have analyzed the plant culture, and a reasonable and fair arrangement, for each team is: It should be to make each team as far as possible equal to the number of home and away.
Therefore, the organizing committee on arrangements for the 2007-2008 season, each team home and away on the arrangement is reasonable and fair.
(Figure 1)
Miami Heat
1) Model advantages: taking into account the team, fans of the fairness of the impact of factors to be considered a more comprehensive; customize a variety of evaluation fairness and reasonableness of a variety of factors, quantified the rationality and fairness; \”
br />
Plant culture, taking into account the team\’s balance between the number of home and away, so as far as possible with the same.
Set up for each season ornamental coefficient and watch every game and for the coefficient:
(Ie: the first team has 82 games away, while the first road team has 0 games), that the number of pairs of arrangements for home and away completely satisfied.
The number of the main road Satisfaction Index.
3 4 4 3 4 4 0 4 4 4 4 3 4 3 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
2), \”\” plant culture or \”\” and other six cases, two teams will be four games, respectively, two home, two road, then
Of each season watch coefficient and coefficient of each game, and ornamental home and away teams for the number of satisfaction
2.2 The establishment of describing the situation and against the corresponding situation of the playing field against the number of matrix
1) Each small Division team in the regular season with a small stadium in the same team play four games.
【Note】: time (ie: each team has 41 road games and 41 games at home), that plant culture of the organization of the number of home and away fully satisfied.
New Orleans Hornets
20
3.1 The preparatory work
l the team from their own interests to the level of satisfaction
4
7
[0.8000,0.7672,0.1672,0.1556,0.3089,0.5222,0.2606,0.2089,0.3006,0.3272,0.7356,0.3139,0.2939,0.5200,0.1200,0.4422,0.1450,0.3800,0.3939,0.1022,0.1006,0.6050,0.8472,0.3800,0.3450
, 0.6756,0.3250,0.5689,0.3356,0.1050];
2
(Plant culture which states that: The entire season, 30 teams a few years back to back games the difference between the maximum and minimum)
3 4 4 4 3 4 3 3 4 4 4 0 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
Based on the above principles of programming using MATLAB software have been described against the situation and the corresponding situation of the playing field against the number of the matrix.
23
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 4 0 4 4 3 4 4 3 3 4 3 4 4
plant culture to a reasonable schedule table is the ability to exciting staged guarantee.
Waynick is mainly responsible for the specific formulation of each team, but no matter how Waynick, the total number of teams in the hold complained that he could only try to make arrangements for fair and reasonable.
Wienicke each season to set a team back to back ceiling of 24 pairs, lower limit is 15 right.
Also, watch the game, taking into account other factors, etc., due to historical reasons, some teams will play between the eye-catching, the same, the team could also become a star within the factors that affect the arrangement, in addition, a number of festivals
Competition will vary, it is clear the weekend is relatively close, plant culture and every Sunday it seems there will be a good match, and then such as the annual Christmas wars.
All of these were to some extent increased the complexity of the arrangements match.
Requirements: on the arrangements for the 2007-2008 season, the regular season, to discuss the rationality and fairness.
According to the problem (1) model and the conclusions drawn from given model of the regular season arrangements and to develop the 2008-2009 season, regular season, and gives evaluation.
24
Houston Rockets
According to the previous date of the game, the team team name, the corresponding treatment of Beijing can be constructed to describe the
【Note】 plant culture: one has been taken into account the balance of the number of home and away games.
18
Southwest Sub-Division
Information on each game, a linear data structure shown in Figure 1:
41 41 41 41 41 41 41 40 42 41 41 41 41 41 41]
We will participate in the All-Star team last season, is set to have a personal influence of the stars.
And home and away in the confrontation regardless of the number of
4 4 0 4 4 4 4 3 4 3 4 4 3 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
plant culture Utah Jazz
Memphis Grizzlies
z
For each of the rationality and fairness, by the following three main factors to measure:
3), \”and\” or \”\” expressed the same stadium in six different districts between the two teams to compete.
According to the prescribed number of game field, both teams will be games;
l 4 rigid requirements
Given in the regular season title in the competition system as:
Viewers want to watch a game, the main race will take into account the essence of plant culture saturation.
For spectators, the game is exciting, on the one hand is to look at two of the team\’s strength against the existence of a strong, generally speaking, the stronger the strength of the two teams to compete, the more people will watch;
On the other hand, the audience have their own favorite players, so the race teams of the star of more and more able to attract audiences.
Sub-Atlantic Division :1-5 of the Central Sub-Division: 6-10
2, assuming that the ranking of a team and have a few players able to explain the team\’s level of concern.
For a certain, the team had identified the number of home and away, back the number of plant culture back straight away from home, etc., while the team from their own interests to make their own assessment of a reasonable and fair to the greatest degree of reduction in
The team\’s complaints.
That is, to enable the team home and away the number of back to back number, the number of consecutive away from home are approximately equal.
()
Abstract table is a reasonable schedule can be wonderful staged guarantee.
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 3 3 4 4 0 4 4 4 4 4 4 3 3
2) The sub-plant culture areas outside of each team with the district, but in the same area in a contest for each team meets three to four times a
Such as: number of 1-5 teams with numbered 6-10 team belongs to a different partition of the same Division.
Are numbered 1-5 in each team needs and numbered 6-10 in games 3-4 games for each team.
= [1,20,27,14,12,3,18,25,22,8,30,6,10,16,23,
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 4 3 3 4 4 3 4 3 4 4 0 4 4
The material is given by plant culture, and we know that \"the number of each team home and away\", \"back to back a few,\" \"the number of consecutive away,\" these factors is a measure of satisfaction, a major factor in the team.
3, symbol shows
[41 41 41 41 41 41 41 41 41 41 41 41 41 41 41
Therefore, we can get: Each team\'s game field number:
Southeast Sub-Division
For the team\'s star influence coefficient matrix (based on 1 to 30 of the team numbers) are:
2. The game against the treatment combination of
According to the relationship between the game field and the number of teams requires the following four conclusions:
In fact, in 2.2, when a generator matrix of plant culture has taken into consideration the requirements, so the number of matrices to meet the home and away games and team competitions between the number of requirements.
The team and hope that their number of games back to back as little as possible, but the Competition Committee for a fair and impartial, should try to take into account each team, the Competition Committee in each season to set a team back to back ceiling of 24 pairs, lower limit is
15 right.
Note In order to quantify the number of teams back to back to the level of satisfaction, we define
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 0 4 4 4 3 4 3 4 4 4 3 4 4 4
Second, the model\'s basic assumption
3 4 4 4 3 4 3 4 4 3 4 4 4 0 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
plant culture New York Knicks
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 4 4 0 4 4 4 3 3 4 4 3 3 4
Right to participate in the regular season the 30 teams are numbered, the serial number as shown in Table 1.
07-08 season, according to the ranking of the 30 teams, we can get one on the 30-team ranking information matrix:
Only when one of the arrangements meet the three conditions above, the arrangement was in line with the basic requirements to be able to further reasonable and fair analysis.
The matrix size.
plant culture means that the team home and away on the arrangements for the number of satisfaction.
Suppose we can see from the audience for the arrangements, satisfaction with the team\'s overall strength and influence of the average coefficient of star vectors related.
Watch \"The team\'s overall strength and the impact of the average coefficient vector of players,\" we can see the team\'s ability to make the audience satisfied with big and small, and the more obvious differences.
Therefore, we can not violate the premise of a fair and reasonable, and arrangements of high-impact teams to compete.
In discussing the reasonableness and fairness, it must be on each team in the sub-Division of the arrangements for testing.
Require each Sub-Division team in the regular season with a sub-Division in the same team play four games.
: Plant culture date of the regular season (d)
Such as: numbered 1-15 for the 16-30 team and the number of teams belonging to different competition on a district basis.
Numbered 1-15 within the team needs and number two for the 16-30 team competition.
22
: The visiting team name number (k)
Said: Team\'s game against the form team of this
Charlotte Bobcats
3
26
Seattle SuperSonics
k
1. For a description of match against
portfolio
plant culture team\'s game against the form team
Records 2007-2008 season, the information matrix games
4), and both teams will be two games, each playing varsity in a home an away,
3) in a) and 2) under the premise of the arrangement as far as possible by raising the game spectacular.
In accordance with the above approach, we will be in October of the 1230 regular season games, all listed, you can get a matrix (all matrices see Appendix 1).
The matrix plant culture can reflect all of the information.
4 3 4 4 3 4 4 4 0 4 3 4 3 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
Washington Wizards
= [2,2,0,0,2,2,0,0,0,2,2,2,1,1,0,2,0,2,0,0,0,1,4,1,
0,2,1,2,2,0]
13
2), dealing with the number of home and away games and the team match between the number of
25
0.6000,0.6000,0.6000,0.4000,0.4000,0.2000,0.6000,0.2000,0.6000,0.2000,0.2000,0.2000,0.4000,1,0.4000,0.2000,0.6000,0.4000,0.6000,0.6000,0.2000];
plant culture first team\’s overall strength factor
Northwest Sub-Division
The team\’s overall strength and the impact of the average coefficient of star vectors:
Known to the processing of information on the topic:
1, assuming that examine the reasonableness of an arrangement mainly consider the following three factors: whether the system to meet the competition requirements, the team\’s satisfaction, the fans satisfaction.
In discussing the reasonableness and fairness, it must be on each team a different partition in the same Division arrange for inspections.
Requirements of each Sub-Division Sub-Division team with the outside, but in the same area in a contest each team meets three to four times.
By the competition between the teams into a sequence.
And plant culture, and because each game different periods of time, so the impact factor of a different race.
(Such as weekends and non-weekend) coefficient sequence, and.
For example, such a data unit:
10
15
By against the situation to know: For the Team (), have all team\’s away match.
So, back to back games against teams arranged into the (), the optional two kinds against the situation, and then against two kinds of situations were organized in the adjacent two days, that is, the formation of a team back to back.
And then repeat this operation can be arranged any number of teams back to back games, so that the number of games in between to meet back to back.
2.1 plant culture to establish against the transformation of the situation in the relationship between function and conversion
Orlando Magic
The game time in Beijing early morning recorded as: 0
Evaluation of a 07-08 season in the question of reasonableness and fairness, this article first calendar information stored in the matrix, and then design algorithms to attain the required information from the matrix, has been the team\’s away game against the number of
the number of games back to back a series of reasonableness and fairness of the impact factors.
While fans of the evaluation schedule for evaluating the rationality part of the calendar, and by defining satisfaction with home and away season, contests and other exciting factor indicators will be reasonable and fair to quantify.
Using MATLAB software to calculate the index value of 07-08 season: fair plant culture of coefficient of 0.975, coefficient of 0.1455,07-08 exciting season for a comprehensive assessment of 0.5602, which comply with the provisions of the competition.
Los Angeles Clippers
l star\’s influence
(Of which 30 teams for the entire season, the number of road games the difference between the maximum and minimum values)
Chicago Bulls
4, the problem analysis and model
So we can get conclusions: the 2007-2008 regular season of the arrangement is reasonable and fair.
16
1. Plant culture of the arrangements for the 2007-2008 season, four mandatory requirements on the analysis of test results
1.2 with the Division\’s inspection of different districts
4 0 4 4 4 3 4 4 3 4 3 4 3 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
MATLAB calculated by:
B =
2.1 In order to quantify the team\’s satisfaction analysis, we first need to right is given in Appendix (07-08 season and arrangements) for processing and recording.
For convenience, assume that every weekend match days there are games, each non-weekend day there are games.
Taking into account the ratings race weekend is generally higher than the non-weekend games ratings, plant culture requirements.
Then, it should satisfy the constraint equation:.
Equations with linear programming solution available for 5, for 3 or 4, that is, every weekend match day five games, each non-weekend day 3 or 4 games.
First, determine the available game day next season
27
The partition of the team as shown in Table 1:
Eastern Division
3, assuming satisfaction of all teams right depends only on the \”home and away number\” and \”back to back number\” satisfaction.
Plant culture for the convenience of description and processing of data, we have created the situation and nature against the number of linear correlation, its function relationship:
1), each team need to meet a few games back to back games in the scope of the request
4 4 3 3 4 4 4 4 4 0 3 4 4 3 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
In discussing the reasonableness and fairness, you also need for each team in different Division of the arrangements for testing.
Require small Division with a different team in each competition district each team two games.
[1,0.9344,0.1344,0.1111,0.0178,0.4444,0.3211,0.2178,0.4011,0.0544,0.8711,0.0278,0.1878,0.6400,0.0400,0.2844,0.0900,0.1600,0.5878
plant culture easy to know: the formation of natural number-one correspondence relationship.
Used as a code name, numbers, and the corresponding relationship:
8