The premiere journal in Machine Learning, the Journal of Machine Learning Research (JMLR), has existed in this format since 2001. It is explicitly mentioned in the petition for the boycott: https://openaccess.engineering.oregonstate.edu/
845 karma · joined January 30, 2013
Section 6 is particularly interesting, where you're further restricted - you want to choose multiple secretaries, but there's certain constraints on the sets you can choose. For example, the secretaries might be edges in a graph, and you can't pick a subset of edges which would result in a cycle (this is a "graphic matroid," which is an example of a mathematical object known as a matroid). The reason why this formulation of the problem is interesting is because the best known algorithm is O(sqrt(log k))-competitive (where k is the rank of the matroid), whereas it is conjectured that an O(1)-competitive algorithm exists.