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We extend the Stochastic Subscriber Line Model by the introduction of shortest-path trees which are obtained by splitting up the segment system of the typical serving zone at its crossings and endings. Due to reasons in the complex field of cost and capacity estimation in telecommunication networks, it is desirable to gain knowledge about distributional(More)
Shortest-path trees play an important role in the field of optimising fixed-access telecommunication networks with respect to costs and capacities. Dis-tributional properties of the corresponding two half-trees originating from the root of such a tree are of special interest for engineers. In the present paper, we derive parametric approximation formulas(More)
When arithmetic components are parallelized, fault-prone interconnections can tamper results significantly.A dvances in feature size shrinking lead to as teady increase of errors caused by faulty transmission. We suggest to employresilient data encoding schemes to offset these negative effects. Focusing on parallel signed-digit based arithmetic, frequently(More)
Inverse problems arise in various areas of science and engineering. These problems are not only difficult to solve numerically, but they also require a large amount of computer resources both in time and memory. It is therefore not surprising that inverse problems are often solved using techniques from high-performance computing. We consider the(More)
The Open Computing Language (OpenCL) is designed to provide a platform-independent specification for programming heterogenous computing systems. The performance of an OpenCL program, however, is not easily transferrable from one platform to another. Auto-tuning is among the techniques that address this situation by automating the performance optimization of(More)
When arithmetic components are parallelized, fault-prone interconnections can tamper results significantly.C onstantly progressing technology scaling leads to as teady increase of errors caused by faulty transmission. Resilient data encoding schemes can be used to offset these negative effects. Focusing on parallel signed-digit based arithmetic frequently(More)
Distributional properties and a simulation algorithm for the Palm version of stationary iterated tessellations are considered. In particular we study the limit behavior of functionals related to Cox-Voronoi cells (such as typical shortest path lengths) if either the intensity γ0 of the initial tessellation or the intensity γ1 of the component tessellation(More)
Mathematical optimization algorithms are ubiquitous in computational science and engineering where the objective function of the optimization problem involves a complicated computer model predicting relevant phenomena of a scientific or engineering system of interest. Therefore, in this area of mathematical software, it is indispensable to combine software(More)