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National Basketball Association Scheduling Simulation
National Basketball Association Scheduling Simulation 21-393 Final Project, Fall 2016 Shengqi Chai, Yutong Li, Liyunshu Qian, Ming Yang Department of Mathematics Carnegie Mellon University Pittsburgh, PA 15213 Table of Contents I. Abstract II. Background and Problem Description III. Solution IV. Results V. Conclusion VI. Reference Page 1 of 12 I. Abstract Sport scheduling is a complex task in the presence of a myriad of conflicting requirements and preferences. In this work, our primary goal is to find a feasible and approximately optimal schedule in terms of travel distance for the 30 teams in National Basketball Association. We focus on the schedule for the regular season, which usually spans over a 5-month duration. Existing approaches to build a schedule from scratch tends to suffer from substantial runtime overhead. In particular, it is computationally infeasible to solve the problem directly using linear programming and constraint programming due to the complicate formats and rules for NBA scheduling. Thus for the sake of simplification, we adopted assumptions so that integer programming is applicable. Additionally, we approached the problem using divide and conquer to reduce computational complexity. Apart from Operations Research techniques, methods from Machine Learning and Data Collection are also exploited in finding the solution. Our approach yields reliable schedules in a reasonable runtime, and the algorithm should be applicable, with slight modifications, to any scheduling problems in single-round robin or double-round robin fashion. II. Problem Background National Basketball Association is the preeminent men’s professional basketball league in North America, and is widely considered as one of the best basketball leagues in the world. -
Gibraltar Football Association Grassroots Youth Football Rules Table
GIBRALTAR FOOTBALL ASSOCIATION GRASSROOTS YOUTH FOOTBALL RULES TABLE OF CONTENTS 1. CONTROL OF THE COMPETITIONS 2. YOUTH LEAGUES & CUP COMPETITIONS 3. LAWS OF THE GAME 4. CLUB PARTICIPATION 5. PLAYER REGISTRATION 6. TRANSFER OF PLAYERS 7. CLUB COLOURS 8. COACHING QUALIFICATIONS 9. TROPHIES 10. MATCH OFFICIALS 11. COMET / TEAM SHEETS 12. IDENTITY 13. DISPUTES, COMPLAINTS&BREACH OF RULES 14. POLICIES & REGULATIONS 1. CONTROL OF THE COMPETITIONS 1.1 The organization, control and management of the Youth Leagues & Cup Competitions in all its various age groups shall be the responsibility of the Gibraltar Football Association (GFA) acting through the Technical Youth Committee (TYC). This Committee shall consist of the Technical Director and the Grassroots Manager. 1.2 The GFA Board of Directors (the “Board”) (as defined in the Statutes of the GFA “the Statutes”) acting through the TYC, shall have the power to add, alter and/or remove these rules. 1.3 The Board acting through the TYC has the power to act, maKe decisions, orders and impose such penalties, as it deems appropriate in relation to any matter not specifically mentioned in these Rules or Regulations. 1.4 The Board, acting through the TYC, has exclusive entitlement and authorization to use, sell or otherwise exploit all marKeting and commercial rights associated with the Youth League and Cup Competitions. 2. YOUTH LEAGUES & CUP COMPETITIONS 2.1 Unless otherwise agreed, Gibraltar FA Youth Competitions shall comprise of the following: 2.1.1 noncompetitive football (age groups 5 through to 10 inclusive) (the “Non-Competitive Categories”); 2.1.2 competitive football (age groups 12 to 16 inclusive) (the “Competitive Categories”) 2.2 All matters related to the division of the age groups, number of teams in each age group and playing areas which affect the format established and are of relevance for the good Governance of the Youth Competitions shall be administered via Regulations attached to these rules which will be published at the start of each season. -
Historical Study on the Relation Between Ancient Chinese Cuju and Modern Football
2018 4th International Conference on Innovative Development of E-commerce and Logistics (ICIDEL 2018) Historical Study on the Relation between Ancient Chinese Cuju and Modern Football Xiaoxue Liu1, Yanfen Zhang2, and Xuezhi Ma3 1Department of Physical Education, China University of Geosciences, Xueyuan Road, Haidian District, Beijing, P. R. China 2Department of Life Sciences; Xinxiang University, Xinxiang Henan Province, Eastern Section of Hua Lan Road, Hongqi District, Xinxiang City, Henan, China 3Beijing Sport University Wushu School, Information Road, Haidian District, Beijing, China [email protected], [email protected], [email protected] Keywords: Ancient Chinese Cuju, Modern Football, Relationship, Development, The Same Origin Abstract: This paper studies on the origin and development of Chinese Cuju through document retrieval. Born in the period of Dongyi civilization, Chinese Cuju began to take shape during the Spring and Autumn and Warring States Period, and gradually flourished during the Qin, Han, Tang and Song dynasties. Through the economic and cultural exchange between China and the West in the past ages, Cuju was introduced into Europe when Mongol expedited westward in Yuan Dynasty. Finally, it has become the modern football, which originated from ancient Chinese Cuju and developed from European competition rules and now is widely accepted and popular in the world. 1. The Cultural Background of the Study On July 15th, 2004, Mr. Blatter, the president of FIFA (Fédération Internationale de Football Association) officially announced in the 3rd session of Soccerex Fair, that football originated in Zibo, the capital of Qi State during the Spring and Autumn Period of ancient China. Cuju (ancient football game) began in China, while modern football (eleven -player game) originated in England. -
Season 2015-2016
Season 2015-2016 Season Review - Results – Tables - Statistics Compiled by Dominic McKenzie with editorial by Dave Watters The 2015-16 EVO-STIK Northern Premier League campaign saw Darlington 1883 romp to the EVO-STIK Northern Premier League's Premier Division title in style with a 6-1 victory at Whitby Town, the Quakers winning their third promotion in four years with a game to spare after beating North East rivals Blyth Spartans to the line in what ended as a two way race. The runners-up also lost out in the play-offs to Salford City, the Ammies going up for the second successive season since their takeover by Manchester United’s Class of 92 but this time doing it the hard way after their third place finish. Stafford Rangers and Warrington Town won the EVO-STIK NPL’s two other title races, the latter collecting 106 points to earn the right to play at the highest level in the club’s history. First Division North runners-up Spennymoor Town were promoted alongside them via the play-offs. After leading the First Division South table by double digit margins, Stafford Rangers only took the title from Shaw Lane Aquaforce by a single point on the final day of the campaign. In the top flight, Stamford, Ramsbottom United, Hyde United and Colwyn Bay went down, the last two both suffering second successive relegations. Daventry Town needn’t have bothered asking for voluntary relegation after finishing second bottom to Tividale in First Division South. New Mills and Harrogate Railway Athletic finished the campaign occupying the two relegation spots in First Division North, the Millers earning unwanted national headlines for their never-say-die attitude while failing to win a single league outing all season. -
WARRINGTON TOWN V RADCLIFFE
Season 2020/2021 Official On-Line Match Programme Pitching In N P L Premier Division. Saturday 17th October 2020 3.00 p.m. kick off WARRINGTON TOWN v RADCLIFFE Welcome to Cantilever Park THE TEAMS Warrington Town V Radcliffe (yellow with blue trim/blue/yellow) (all white with red and blue offset stripes) Charles Albinson 1 Cameron Belford James Baillie 2 Curtis Obeng Michael Rose 3 Javid Swaby-Neavin Charlie Munro 4 Tom Miller Mark Roberts © 5 Jonathon Royle Matt Regan 6 Stephen Johnson-Fikula Jack Mackreth 7 Luca Navarro Chris Holroyd 8 Simon Lenighan Josh Amis 9 Andy Owens Bohan Dixon 10 Jean Louis Akpa-Akpro Jack Dunn 11 Matty Crothers Craig Carney 12 Larnell Cole Jordan Buckley 14 Joey Oldham Joel Amado 15 Rhian Hellawell Callum Grogan 16 Kole Hall Mitch Duggan 17 Darren McKnight Paul Carden Manager Lee Fowler Referee Neil Evans Assistant Jack Welch Assistant Justin Walton Pitching In Northern Premier League Premier Division Saturday 17th October 2020, kick off 3-00 p.m. Focus Increased Good afternoon ladies and gentlemen and welcome to Cantilever Park for this Pitching In Northern Premier League Premier Division fixture. May I take this opportunity to offer a warm welcome to all players, officials and supporters of Radcliffe Football Club to Warrington? I trust you all have an enjoyable stay and a safe journey home after the match. Town and Radcliffe are Today’s games – Premier Division among our oldest friends in Ashton United v Mickleover this division having met many Atherton Colls v Stalybridge Celtic Basford United v Bamber Bridge times over the years. -
Eficácia Defensiva Nos Lances De Bola Parada No Futebol. Defesa À Zona Vs Defesa Individual E Mista
Eficácia defensiva nos lances de bola parada no futebol. Defesa à zona vs defesa individual e mista. Estudo realizado no Campeonato da Europa de 2008. Manuel Batista Casanova Porto, 2009 Eficácia defensiva nos lances de bola parada no futebol. Defesa à zona vs defesa individual e mista. Estudo realizado no Campeonato da Europa de 2008. Monografia realizada no âmbito da disciplina de Seminário do 5º ano da licenciatura em Desporto e Educação Física, na área de Alto Rendimento – Futebol, da Faculdade de Desporto da Universidade do Porto Orientador: Prof. Doutor Júlio Garganta Manuel Batista Casanova Porto, 2009 Casanova, M. (2009). Eficácia defensiva nos lances de bola parada no futebol. Defesa à zona vs defesa individual e mista. Estudo realizado no Campeonato da Europa de 2008. Monografia de licenciatura apresentada à Faculdade de Desporto da Universidade do Porto. PALAVRAS – CHAVE: FUTEBOL, OBSERVAÇÃO E ANÁLISE DE JOGO, LANCES DE BOLA PARADA, DEFESA À ZONA. Agradecimentos AGRADECIMENTOS Ao Professor Júlio Garganta, pela simplicidade de processos, pela pertinência das suas questões, e por nunca me ter dado as respostas mas sim o caminho indicado para as encontrar. Foi o Professor o fio condutor deste trabalho. Ao Professor Vítor Frade por ter incutido em mim a paixão pelo futebol. Nunca esquecerei as suas aulas fantásticas. Ao Daniel Barreira pela sua disponibilidade na cedência dos jogos, sem a sua ajuda nada disto seria possível. Aos meus pais por terem apoiado sempre as minhas escolhas e por serem os grandes “arquitectos” daquilo que eu sou hoje em dia. Aos meus irmãos pelas “discussões que nos enriquecem e pelas brincadeiras que nos unem”. -
RULES and REGULATIONS
THE EVO-STIK LEAGUE SOUTH Season 2018-2019 RULES and REGULATIONS ONE HUNDRED and TWENTY FIFTH SEASON The Southern Football League Limited FOUNDED 1894-5 Incorporated as a company 24th March 1999 Company Registration No. 3740547 Rules & Regulations Handbook 2018 - 2019 One Hundred & Twenty Fifth Season League Office Suite 3B, Eastgate House, 121-131 Eastgate Street Gloucester, GL1 1PX Office Telephone: 01452 525868 Office Facsimile: 01452 358001 Opening hours: 0900 to 1700 (Monday to Friday, except Bank Holidays) Secretary: Jason Mills (2007) Mobile: 07768 750590 (outside office hours) Email: [email protected] Assistant Secretary: Jack Moore (2016) Email: [email protected] Administration Assistant: Jan Simpson (2014) Email: [email protected] Player Registrations Post: Office address Facsimile: 01452 358001 Email: [email protected] Reporting Match Results Text: 07480 533673 Email: [email protected] 3 League Officers PRESIDENT MR K J ALLEN (1979) (1991) (2010) 33 Megson Drive, Lee-on-the-Solent, Hampshire, PO13 8BA Telephone: 02393 116 134 Mobile: 07899 907960 Email: [email protected] CHAIRMAN MR T T BARRATT (2004) (2016) 16 Deacons Way, Hitchin, Hertfordshire, SG5 2UF Telephone: 01462 431124 Mobile: 07836 558727 Email: [email protected] VICE CHAIRMAN MR A J HUGHES (2015) (2017) 4 Brynmorlais Street, Penydarren, Merthyr Tydfil, CF47 9YE Telephone: 01685 359921 Mobile: 07737 022293 Email: [email protected] -
WARRINGTON TOWN V WHITBY TOWN
Season 2020/2021 Official On-Line Match Programme Pitching In N P L Premier Division. Saturday 3rd October 2020 3.00 k.o. WARRINGTON TOWN v WHITBY TOWN Welcome to Cantilever Park THE TEAMS Warrington Town V Whitby Town (yellow with blue trim/blue/yellow) (all white with red and blue offset stripes) Charles Albinson 1 Shane Bland James Baillie 2 Bradley Mills Michael Rose 3 James Martin Charlie Munro 4 Jameel Ible Mark Roberts © 5 Jonathan Burn Matt Regan 6 Jassem Sukar Luke Duffy 7 Lewis Hawkins Scott Brown 8 Daniel Rowe © Josh Amis 9 Bradley Fewster Bohan Dixon 10 Jacob Hazel Jack Dunn 11 Mackenzie Heaney Craig Carney 12 Lewis Ritson Matthew Taylor 14 Jamie Cobain Jack Mackreth 15 Liam Cooke Callum Grogan 16 Marcus Giles Iyrwah Gooden 17 Daniel Dixon Paul Carden Manager Chris Hardy Referee Alan Bennett Assistant Michael Southern Assistant Cristiana Hattersley Pitching In Northern Premier League Premier Division Saturday 3rd October 2020, kick off 3-00 p.m. Must Take Full Advantage Good afternoon ladies and gentlemen and welcome to Cantilever Park for this Pitching In Northern Premier League Premier Division fixture. May I take this opportunity to offer a warm welcome to all players, officials and supporters of Whitby Town Football Club to Warrington? I trust you all have an enjoyable stay and a safe journey home after the match. Today’s games – Premier Division Whitby come to Warrington for the twelfth meeting of the Just two due to the FA Cup clubs having had an even more unusual start to the season than most in what is Warrington Town v Whitby Town Witton Albion v Basford United anything but a normal time. -
German Football Strategy
ESTO REPORT: GERMAN FOOTBALL STRATEGY AND THE STRATEGIC IMPORTANCE OF SYNTHETIC TURF: A BLUEPRINT FOR FOOTBALL ASSOCIATIONS TO CONSIDER SYNTHETIC TURF AS A LONG TERM DEVELOPMENT AND PERFORMANCE STRATEGY. BACKGROUND ON THE GERMAN FOOTBALL STRATEGY Germany lifting the World Cup this summer was the product of over a decade of careful planning and innovation by the DFB (German Football Association). It all began with an embarrassing performance in the World Cup 1998, with a 3:0 loss to Croatia in the quarter-final, and then at the Euro 2000, when the “Mannschaft” failed to go through the group stages and finished last in their group. Immediately following this disappointing Euro 2000, the country decided that the only way to redeem themselves and regain their top level was to tackle the problem from the bottom-up and therefore focused on the developing the game at grass roots level. The upshot of unsatisfactory results in international competitions was that the DFB decided to invest all their time and resources in the development of young talent by improving accessibility and by focusing on a technical and tactical approach. Therefore, in 2001, the first compulsory requirement the DFB imposed on all 36 clubs in the 1st and 2nd German divisions was the integration of youth academies within the structure of the clubs. Then from 2002/2003 onwards, The German football association started implementing football bases all over the country, with the aim to allow every player access to the best coaching. At the moment, there are 366 of these DFB bases throughout Germany (see map on the right), and are thus within easy reach of all players. -
Season Seat Holder Retention in Minor League Baseball
St. John Fisher College Fisher Digital Publications Sport Management Undergraduate Sport Management Department Spring 2013 Season Seat Holder Retention in Minor League Baseball Matt Butler St. John Fisher College Follow this and additional works at: https://fisherpub.sjfc.edu/sport_undergrad Part of the Sports Management Commons How has open access to Fisher Digital Publications benefited ou?y Recommended Citation Butler, Matt, "Season Seat Holder Retention in Minor League Baseball" (2013). Sport Management Undergraduate. Paper 93. Please note that the Recommended Citation provides general citation information and may not be appropriate for your discipline. To receive help in creating a citation based on your discipline, please visit http://libguides.sjfc.edu/citations. This document is posted at https://fisherpub.sjfc.edu/sport_undergrad/93 and is brought to you for free and open access by Fisher Digital Publications at St. John Fisher College. For more information, please contact [email protected]. Season Seat Holder Retention in Minor League Baseball Abstract In lieu of an abstract, here is the paper's first paragraph: In minor league (AAA) baseball the amount of season tickets sold for the season can account for at least fifteen percent of total paid attendance for the. With this in mind a sport manager may wonder what brings season ticket buyers back season after season, and what can be done to measure this occurrence. An added question for front office staff members is, do these reasons coincide with a team’s marketing strategy to maximize the amount of fans who buy season tickets? To analyze this occurrence I looked into exactly what behavior fans exhibit and their motivation to purchase. -
Creating Value in Player Transfer Negotiations: the Case of Juventus Football Club
Creating value in player transfer negotiations: The case of Juventus Football Club Gísli Eyland Háskóli Íslands Apríl 2011 Course: Samningagerð Teacher: Þóra H. Christiansen Table of contents 1. Introduction ................................................................................................................................. 3 2. A brief summary of the economics of sports ............................................................................... 3 2.1 The invariance principle ........................................................................................................ 4 2.2 Uncertainty of outcome ......................................................................................................... 4 3. European football clubs ............................................................................................................... 5 4. Negotiation concepts ................................................................................................................... 6 4.1 Creating value ........................................................................................................................ 6 4.2 Best and strategic practices and dual concerns ...................................................................... 7 5 Regulation on the status and transfer of players ........................................................................... 8 5.1 Other FIFA regulation-related definitions and features ........................................................ 9 5.2 Accounting related definitions -
Injury Incidence and Injury Patterns in Professional Football - the UEFA Injury Study
Linköping University Post Print Injury incidence and injury patterns in professional football - the UEFA injury study Jan Ekstrand, Martin Hägglund and Markus Waldén N.B.: When citing this work, cite the original article. Original Publication: Jan Ekstrand, Martin Hägglund and Markus Waldén, Injury incidence and injury patterns in professional football - the UEFA injury study, 2009, British journal of sports medicine, 060582. http://dx.doi.org/10.1136/bjsm.2009.060582 Copyright: BMJ Publishing http://group.bmj.com/ Postprint available at: Linköping University Electronic Press http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-52238 Injury incidence and injury patterns in professional football – the UEFA Injury Study Jan Ekstrand1, 2, Martin Hägglund1, Markus Waldén1 1 Department of Medical and Health Sciences, Linköping University, Linköping, Sweden 2 UEFA Medical Committee Corresponding author: Jan Ekstrand MD, PhD Solstigen 3 S-589 43, Linköping Sweden Tel.: + 46 13 161648, fax: +46 13 161892 [email protected] Key words: Football, injury incidence, epidemiology, soccer, professional Word count: 2,705 1 ABSTRACT Objective: To study the injury characteristics in professional football and to follow the variation of injury incidence during a match, during a season and over consecutive seasons. Design: Prospective cohort study where teams were followed for seven consecutive seasons. Team medical staff recorded individual player exposure and time-loss injuries from 2001 to 2008. Setting: European professional men’s football. Participants: The first team squads of 23 teams selected by UEFA as belonging to the 50 best European teams. Main outcome measurement: Injury incidence. Results: 4,483 injuries occurred during 566,000 hours of exposure, giving an injury incidence of 8.0 injuries/1,000 hours.