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Sports Leagues Scheduling - Models, Combinatorial Properties, and Optimization Algorithms
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Sports Leagues Scheduling - Models, Combinatorial Properties, and Optimization Algorithms
von: Dirk Briskorn
Springer-Verlag, 2008
ISBN: 9783540755180
168 Seiten, Download: 2458 KB
 
Format:  PDF
geeignet für: Apple iPad, Android Tablet PC's Online-Lesen PC, MAC, Laptop

Typ: B (paralleler Zugriff)

 

 
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Inhaltsverzeichnis

  Preface 6  
  Contents 7  
  1 Introduction 10  
     1.1 Motivation 10  
     1.2 Related Work 11  
     1.3 Basic Notation 12  
     1.4 Outline 13  
  2 Basic Problems 14  
     2.1 Single Round Robin Tournament 15  
     2.2 Double Round Robin Tournament 21  
     2.3 r Round Robin Tournament 25  
     2.4 Decomposition Schemes 27  
  3 Real World Problems 37  
     3.1 Externally Given Constraints 38  
     3.2 Fairness Constraints 41  
     3.3 Computational Study 50  
     3.4 Summary 65  
  4 Combinatorial Properties of Strength Groups 66  
     4.1 Factorizations 67  
     4.2 Group–Balanced Single Round Robin Tournaments 74  
     4.3 Group–Changing Single Round Robin Tournaments 77  
     4.4 Complexity 82  
     4.5 Summary 84  
  5 Home-Away-Pattern Based Branching Schemes 86  
     5.1 Motivation 86  
     5.2 General Home-Away-Pattern Sets 87  
     5.3 Minimum Number of Breaks 93  
     5.4 Computational Results 105  
     5.5 Summary 108  
  6 Branch–and–Price Algorithm 110  
     6.1 Motivation and Basic Idea 110  
     6.2 Reformulation 111  
     6.3 Branching Scheme 118  
     6.4 Column Generation 126  
     6.5 Upper Bounds 140  
     6.6 Computational Results 144  
     6.7 Summary 149  
  7 Conclusions and Outlook 151  
  References 153  
  Index 160  
  List of Definitions 162  
  List of Models 163  
  List of Figures 164  
  List of Tables 165  


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