Math 版 (精华区)
发信人: flytigger (Ostrich), 信区: Math
标 题: 建模试题16(转寄)
发信站: 哈工大紫丁香 (Sun Sep 19 21:26:44 1999), 转信
转信站: kapok (local)
发信人: johnw (贡工>>), 信区: Programming
标 题: 建模试题16
发信站: 华中地区网络中心
日 期: Fri Jun 28 10:23:56 1996
出 处: 202.114.29.20
第三题:
MCM 1996-B
When determining the winner of a competition like the Mathematical Contest in
Modeling, there are generally a large number of papers to judge. Let's say
there are $P=100$ papers. A group of $J$ judges is collected to accomplish the
judging. Funding for the contest constains both the number of judges that can
be obtained and amount of time that they can judge. For eample if P=100, then
J=8 is typical.
Ideally, each judge would read paper and rank-order them, but there are too
many papers for this. Instead, there will be a number of screening rounds in
which each judge will read some number of papers and give them scores. Then
some selection scheme is used to reduce the number of papers under
consideration: If the papers are rank-ordered, then the bottom 30% that each
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