X-Git-Url: https://mattmccutchen.net/match/match.git/blobdiff_plain/256efdfa511d8d7d820ac565b5125271bc58ccf6..f3084293a1cf94d98fb44a7d427f012361c28afc:/notes diff --git a/notes b/notes deleted file mode 100644 index aca2880..0000000 --- a/notes +++ /dev/null @@ -1,58 +0,0 @@ -Assignment problems arise in a variety of settings. -For funding agencies such as NSF program directors -that co-ordinate panels, assigning proposals to -reviewers is a major challenge. It is important that each proposal be -reviewed by qualified experts, and at the same time we would like the -workload across different reviewers to be roughly balanced. The same -issue arises for a program committee chair, who may have to assign -literally hundreds of papers to a program committee consisting of -thirty to forty program committee members. - -{\em What does CMT use? What does Easychair use?} - -From now on we will focus on the problem of assigning papers to -reviewers. -We assume that each reviewer is given access to the -list of papers to be reviewed, and provides input on their -preferences by giving a ``desirability'' score to each paper. -We also assume that each paper has to be reviewed by $r$ -reviewers. - -We do not consider stable marriage type preference lists, -because a strict ranking of papers would be rather tedious -to produce. In this scheme, the papers are essentially grouped -into a few categories. - - -Ideally, from the perspective of the papers, we would like to -assign each paper the $r$ ``best'' reviewers for the paper. -Ofcourse, this would lead to a load imbalanced solution where -the load on some program committee members is very high, and the -load on others is low. On the other hand, we could insist -on a perfectly load balanced solution in which the number -of papers assigned to each program committee member do not -exceed $\lceil rN/P \rceil$, where $N$ is the number of -submissions and $P$ is the number of program committee members. -Recall that each paper needs $r$ reviewers, so a total of $rN$ -reviews need to be generated. However this may lead to a solution -which is not optimal from the perspective of the papers. - -One of our goals is to study precisely this tradeoff, and allow each -reviewer to have upto $\lceil rN/P \rceil + C$ papers assigned to -them, where $C$ is the {\em imbalance factor}. The main question -we consider is: is it possible to obtain a high quality -assignment with a fairly low value of $C$? - -One can ask the same question from the perspective of the reviewers -as well. Each reviewer would ideally like papers -that are the ``most desirable'' from their point of view. - -{\em Stinkers} are papers that pretty much no-one wanted to review. -We would like to spread the load of the stinkers as evenly as possible. - -\section{Formulation as a Min Cost Flow Problem} - -\section{Experimental Results} - -\section{Conclusions} -