Fast algorithms for bipartite network flow
SIAM Journal on Computing
Integer and combinatorial optimization
Integer and combinatorial optimization
A fast parametric maximum flow algorithm and applications
SIAM Journal on Computing
Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
A New Property and a Faster Algorithm for Baseball Elimination
SIAM Journal on Discrete Mathematics
Assignment of swimmers to dual meet events
Computers and Operations Research
Determining the Number of Games Needed to Guarantee an NHL Playoff Spot
CPAIOR '09 Proceedings of the 6th International Conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
Mathematically clinching a playoff spot in the NHL and the effect of scoring systems
Canadian AI'08 Proceedings of the Canadian Society for computational studies of intelligence, 21st conference on Advances in artificial intelligence
Hi-index | 0.00 |
The competition for baseball play-off spots -- the fabled pennant race -- is one of the most closely watched American sports traditions. While play-off race statistics, such as games back and magic number, are informative, they are overly conservative and do not account for the remaining schedule of games. Using optimization techniques, one can model schedule effects explicitly and determine precisely when a team has secured a play-off spot or has been eliminated from contention. The RIOT Baseball Play-off Races Web site developed at the University of California, Berkeley, provides automatic updates of new, optimization-based play-off race statistics each day of the major league baseball season. In developing the site, we found that wecould determine the first-place elimination status of all teams in a division using a single linear-programming formulation, since a minimum win threshold for teams finishing in first place applies to all teams in a division. We identified a similar (but weaker) result for the problem of play-off elimination with wildcard teams.