3.18. traveling tournament 问题(TTP)
计划在 n 个团队数之间的匹配。
硬约束:
- 每个团队会针对其他每个团队进行两次操作:一次,一次。
- 每个团队在每个时间上都有完全匹配。
- 团队不能连续三个以上的主页或连续三部的匹配。
- 无重复者:与团队相比,不连续匹配两个。
软限制:
- 最大程度降低所有团队的距离。
在 Michael Trick 网站(其中包含世界记录) 上也定义了问题。
问题大小
1-nl04 has 6 days, 4 teams and 12 matches with a search space of 10^5. 1-nl06 has 10 days, 6 teams and 30 matches with a search space of 10^19. 1-nl08 has 14 days, 8 teams and 56 matches with a search space of 10^43. 1-nl10 has 18 days, 10 teams and 90 matches with a search space of 10^79. 1-nl12 has 22 days, 12 teams and 132 matches with a search space of 10^126. 1-nl14 has 26 days, 14 teams and 182 matches with a search space of 10^186. 1-nl16 has 30 days, 16 teams and 240 matches with a search space of 10^259. 2-bra24 has 46 days, 24 teams and 552 matches with a search space of 10^692. 3-nfl16 has 30 days, 16 teams and 240 matches with a search space of 10^259. 3-nfl18 has 34 days, 18 teams and 306 matches with a search space of 10^346. 3-nfl20 has 38 days, 20 teams and 380 matches with a search space of 10^447. 3-nfl22 has 42 days, 22 teams and 462 matches with a search space of 10^562. 3-nfl24 has 46 days, 24 teams and 552 matches with a search space of 10^692. 3-nfl26 has 50 days, 26 teams and 650 matches with a search space of 10^838. 3-nfl28 has 54 days, 28 teams and 756 matches with a search space of 10^999. 3-nfl30 has 58 days, 30 teams and 870 matches with a search space of 10^1175. 3-nfl32 has 62 days, 32 teams and 992 matches with a search space of 10^1367. 4-super04 has 6 days, 4 teams and 12 matches with a search space of 10^5. 4-super06 has 10 days, 6 teams and 30 matches with a search space of 10^19. 4-super08 has 14 days, 8 teams and 56 matches with a search space of 10^43. 4-super10 has 18 days, 10 teams and 90 matches with a search space of 10^79. 4-super12 has 22 days, 12 teams and 132 matches with a search space of 10^126. 4-super14 has 26 days, 14 teams and 182 matches with a search space of 10^186. 5-galaxy04 has 6 days, 4 teams and 12 matches with a search space of 10^5. 5-galaxy06 has 10 days, 6 teams and 30 matches with a search space of 10^19. 5-galaxy08 has 14 days, 8 teams and 56 matches with a search space of 10^43. 5-galaxy10 has 18 days, 10 teams and 90 matches with a search space of 10^79. 5-galaxy12 has 22 days, 12 teams and 132 matches with a search space of 10^126. 5-galaxy14 has 26 days, 14 teams and 182 matches with a search space of 10^186. 5-galaxy16 has 30 days, 16 teams and 240 matches with a search space of 10^259. 5-galaxy18 has 34 days, 18 teams and 306 matches with a search space of 10^346. 5-galaxy20 has 38 days, 20 teams and 380 matches with a search space of 10^447. 5-galaxy22 has 42 days, 22 teams and 462 matches with a search space of 10^562. 5-galaxy24 has 46 days, 24 teams and 552 matches with a search space of 10^692. 5-galaxy26 has 50 days, 26 teams and 650 matches with a search space of 10^838. 5-galaxy28 has 54 days, 28 teams and 756 matches with a search space of 10^999. 5-galaxy30 has 58 days, 30 teams and 870 matches with a search space of 10^1175. 5-galaxy32 has 62 days, 32 teams and 992 matches with a search space of 10^1367. 5-galaxy34 has 66 days, 34 teams and 1122 matches with a search space of 10^1576. 5-galaxy36 has 70 days, 36 teams and 1260 matches with a search space of 10^1801. 5-galaxy38 has 74 days, 38 teams and 1406 matches with a search space of 10^2042. 5-galaxy40 has 78 days, 40 teams and 1560 matches with a search space of 10^2301.