X-Git-Url: https://mattmccutchen.net/match/match.git/blobdiff_plain/767b3c0c14a2120679b132e858e23ba1cbf65b8e..fe03e0e8d2f2de007b110f0a080e305530918f01:/paper/paper.tex diff --git a/paper/paper.tex b/paper/paper.tex index 7ce6770..a61daa3 100644 --- a/paper/paper.tex +++ b/paper/paper.tex @@ -160,10 +160,10 @@ to a solution that loads one reviewer by $L$ and the other by $L+2$ unless the load imbalance in the second solution is outweighed by other benefits. -For each reviewer $i$ and proposal $j$, there is a unit-capacity edge from $i$ +For each reviewer $i$ and paper $j$, there is a unit-capacity edge from $i$ to $j$ allowing that pair to be assigned, unless the reviewer declared a conflict of interest, in which case the edge is not present. The edge cost is -based on the desirability value $d_{ij}$ stated by reviewer $i$ for proposal +based on the desirability value $d_{ij}$ stated by reviewer $i$ for paper $j$. For values on the NSF scale of 1 (best) to 40 (worst), we chose the cost function $(10 + d_{ij})^2$, in an attempt to provide an incentive to avoid really bad matched pairs without completely masking the difference between a