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