This paper introduces two-dimensional (weight and volume) overbooking problems arising mainly in the cargo revenue management, and compares them with one-dimensional problems. It considers capacity spoilage and cargo offloading costs, and minimizes their sum. For one-dimensional problems, it shows that the optimal overbooking limit does not change with the magnitude of the booking requests. In ...

Sub-harmonic phenomena become a critical issue as properties of the power grid change. In this paper we propose a generic architecture to detect and suppress these sub-harmonics automatically in a robust way. Therefore different algorithms to analyse the signals from the power grid, like wavelet-and prony analysis, are used and extended to rate and incorporate signal quality. The results of the...

This paper proves a bottom-left placement theorem for the rectangle packing problem, stating that if it is possible to orthogonally place n arbitrarily given rectangles into a rectangular container without overlapping, then we can achieve a feasible packing by successively placing a rectangle onto a bottom-left corner in the container. This theorem shows that even for the real-parameter rectang...