The CMS ranking system is an optimization-based methodology for ranking sports teams. One of the stated shortcom-ingsof the CMS system is that teams are not explicitly penalized for scheduling games against weaker competition.We extend the CMS system by adding an additional parameter intended to account for “strength of scheduling”, andapply this new methodology the CMS+ system, to National Collegiate Athletic Association (NCAA) football. We alsodefine a method of quantifying the validity of a for ranking college football teams, and we use this method to assessthe improvement resulting from transitioning from the CMS system to the CMS+ system.
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