David Neuhäuser

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Abstract. 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(More)
Shortest-path trees play an important role in the field of optimising fixed-access telecommunication networks with respect to costs and capacities. Distributional 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 for(More)
We consider first-passage percolation on segment processes and provide concentration results concerning moderate deviations of shortest-path lengths from a linear function in the distance of their endpoints. The proofs are based on a martingale technique developed by H. Kesten for an analogous problem on the lattice. Our results are applicable to graph(More)
When arithmetic components are parallelized, fault-prone interconnections can tamper results significantly. Constantly progressing technology scaling leads to a steady 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)
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)
Abstract: When arithmetic components are parallelized, fault-prone interconnections can tamper results significantly. Advances in feature size shrinking lead to a steady increase of errors caused by faulty transmission. We suggest to employ resilient data encoding schemes to offset these negative effects. Focusing on parallel signed-digit based arithmetic,(More)
We propose a new redundant approach on designing multiply-accumulate units for low power. State of the art implementations make use of redundant registers to obtain low delay times by moving any carry propagate adder out of the operation cycle. Our contribution is optimizing the level of redundancy by adjusting the size of the carry register. This(More)