Two phases can be distinguished in academic course scheduling: In phase one lectures have to be assigned to professors, whereas in phase two the lectures have to be scheduled. Here we assume that the lectures are already assigned to professors, i.e. the first phase has been done. For the second...

The paper develops a version of Pontryagin's maximum principle for optimal control problems with monotonicity constraints on control variables. Whereas the literature handles such constraints by imposing an assumption of piecewise smoothness on the control variable and treating the slope of this...

Online marketplaces, such as Amazon, Alibaba, or Google Shopping, allow sellers to promote their products by charging them for the right to be displayed on top of organic search results. In this paper, we study the problem of designing auctions for promoted products and highlight some new...