Search for dissertations about: "polyhedral analysis"
Showing result 1 - 5 of 8 swedish dissertations containing the words polyhedral analysis.
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1. Polyhedral and complexity studies in integer optimization, with applications to maintenance planning and location–routing problems
Abstract : This thesis develops integer linear programming models for and studies the complexity of problems in the areas of maintenance optimization and location–routing. We study how well the polyhedra defined by the linear programming relaxation of themodels approximate the convex hull of the integer feasible solutions. READ MORE
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2. Topics in geometry, analysis and inverse problems
Abstract : The thesis consists of three independent parts.Part I: Polynomial amoebasWe study the amoeba of a polynomial, as de ned by Gelfand, Kapranov and Zelevinsky. A central role in the treatment is played by a certain convex function which is linear in each complement component of the amoeba, which we call the Ronkin function. READ MORE
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3. Design and analysis of wireframe DNA nanostructures
Abstract : In the last decades, the powerful self-assembly properties of DNA have been harnessed to produce complex structures at the nanoscale with high precision and yield. DNA origami is one of the most robust examples of this, where a 7000-nucleotide strand of biological origin is folded by hybridizing with hundreds of synthetic oligonucleotides, the programmed sequence of these “staple strands” determines the shape of the assembled object. READ MORE
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4. On Cooperative Surveillance, Online Trajectory Planning and Observer Based Control
Abstract : The main body of this thesis consists of six appended papers. In the first two, different cooperative surveillance problems are considered. The second two consider different aspects of the trajectory planning problem, while the last two deal with observer design for mobile robotic and Euler-Lagrange systems respectively. READ MORE
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5. Vehicle-in-the-loop validation of autonomous cars
Abstract : Validation of autonomous driving (AD) cars is a difficult task because of the complexity that results from the integration of multiple systems and the variety of operating conditions. To this end, testing with real vehicles is crucial to ensure a thorough validation of AD cars. READ MORE