The MIIS Eprints Archive: No conditions. Results ordered -Date Deposited. 2021-08-05T15:43:25ZEPrintshttp://miis.maths.ox.ac.uk/images/sitelogo.gifhttp://miis.maths.ox.ac.uk/miis/2012-10-29T16:32:59Z2015-05-29T20:12:50Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/591This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/5912012-10-29T16:32:59ZStatistical Modelling of Pre-Impact Velocities in Car CrashesThe law wants to determine if any party involved in a car crash is guilty. The Dutch court invokes the expertise of the Netherlands Forensic Institute (NFI) to answer this question. We discuss the present method of the NFI to deter-
mine probabilities on pre-impact car velocities, given the evidence from the crash scene. A disadvantage of this method is that it requires a prior distribution on the velocities of the cars involved in the crash. We suggest a different approach, that of statistical significance testing, which can be carried out without a prior. We explain this method, and apply it to a toy model. Finally, a sensitivity analysis is performed on a simple two-car collision model.W KagerI KryvenK Myerscough2012-10-29T16:31:01Z2015-05-29T20:12:46Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/590This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/5902012-10-29T16:31:01ZRouting for analog chip designs at NXP SemiconductorsDuring the study week 2011 we worked on the question of how to automate certain aspects of the design of analog chips. Here we focused on the task of connecting different blocks with electrical wiring, which is particularly tedious to do by hand. For digital chips there is a wealth of research available for this, as in this situation the amount of blocks makes it hopeless to do the design by hand. Hence, we set our task to finding solutions that are based on the previous research, as well as being tailored to the specific setting given by NXP.
This resulted in an heuristic approach, which we presented at the end of the
week in the form of a protoype tool. In this report we give a detailed account of the ideas we used, and describe possibilities to extend the approach.M van den AkkerT BeelenR Bisseling2012-10-29T16:28:44Z2015-05-29T20:12:42Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/589This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/5892012-10-29T16:28:44ZAnalysis of a Model for Ship ManeuveringWe analyze numerically and theoretically steady states and bifurcations in a model for ship maneuvering provided by MARIN, and in a simplified model that combines rudder and propeller into an abstract ‘thruster’. Steady states in the model correspond to circular motion of the ship and we compute the corresponding radii.
We non-dimensionalize the models and thereby remove a number of parameters,
so that, due to a scaling symmetry, only the rudder (or thruster) angle remains as a free parameter.
Using ‘degree theory’, we show that a slight modification of the model pos-
sesses at least one steady state for each angle and find certain constraints on the possible steady state configuration. We show that straight motion is unstable for the Hamburg test case and use numerical continuation and bifurcation software to compute a number of curves of states together with their stability, and the corresponding radii of the ship motion. In particular, straight forward motion can be stabilised by increasing the rudder size parameter, and the smallest possible radius is ∼ 119 m.
These analyses illustrate methods and tools from dynamical systems theory that can be used to analyse a model without simulation. Compared with simulations, the numerical bifurcation analysis is much less time consuming. We have implemented the model in MATLAB and the bifurcation software AUTO.M ApriN BanagaayJ van den Berg2012-10-29T16:26:03Z2015-05-29T20:12:39Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/588This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/5882012-10-29T16:26:03ZStrategic bidding in a primary reserve auctionElectricity grids are subject to a constant change of demand. If a power line is overloaded, the demand is rerouted to another line, which is then also likely to overload due to the sudden spike in voltage. Due to this cascading effect a grid-wide blackout is not at all improbable; one occurred in Italy in 2003. The costs of such a blackout are immense in today’s modern society. Transport and telecommunication systems have such a high power demand that a backup power generator system would come at a very high cost. To solve this, Germany requires the electricity grid operators to have Primary Reserve Capacity on standby...D PalvolgyiG CsapoM Wortel2012-10-29T16:22:46Z2015-05-29T20:12:35Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/587This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/5872012-10-29T16:22:46ZNode counting in wireless ad-hoc networksWe study wireless ad-hoc networks consisting of small microprocessors with
limited memory, where the wireless communication between the processors can be highly unreliable. For this setting, we propose a number of algorithms to estimate the number of nodes in the network, and the number of direct neighbors of each node. The algorithms are simulated, allowing comparison of their performance.J EversD KissW Kowalczyk2012-10-29T16:20:46Z2015-05-29T20:12:31Zhttp://miis.maths.ox.ac.uk/miis/id/eprint/586This item is in the repository with the URL: http://miis.maths.ox.ac.uk/miis/id/eprint/5862012-10-29T16:20:46ZOptimal Flood ControlA mathematical model for optimal control of the water levels in a chain of
reservoirs is studied. Some remarks regarding sensitivity with respect to the time horizon, terminal cost and forecast of inflow are made.P DickinsonJ HulshofA Ran