Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Piecewise-Linear Approximation"”.
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Anisotropic piecewise linear approximation
… the design of new partitioning methods for the approximation of a function f on a domain C Rd, d 2, by piecewise linear functions, and the derivation of errors estimations in Lp-norm and W1 p - seminorm. In the two-dimensional setting, we develop a construction of a sequence of anisotropic …
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A decision support system for sugarcane irrigation supply and demand management
… complex nature of water stress on sugarcane, non-linearities occur in the model. A piecewise linear approximation is used to handle the non-linearity in the water allocation model and is solved in a commercial optimisation software package. A test data set is first used to exercise and evaluate …
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Planning combat outposts to maximize population security
… combat outposts and conducting patrols. We use piecewise linear approximation to solve the problem as a mixed-integer linear program. Results are based on two representative scenarios and show the impact of an area of operation's characteristics and commander's weights on COP size and locations.
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A finite element, Navier-Stokes study of the confined, laminar flow over a downstream facing step
… field was represented by a discontinuous, piecewise-linear approximation. This particular combination of solution subspaces was previously shown in a mathematically rigorous fashion to yield stable, consistent solutions to the Navier-Stokes equations. The results of the computations were …
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Discrete Approximations, Relaxations, and Applications in Quadratically Constrained Quadratic Programming
… integer programming (MIP)-based relaxation and approximation schemes for general Quadratically Constrained Quadratic Programs (QCQP's), and also study practical applications of QCQP's and Mixed-integer QCQP's (MIQCQP). We first address a challenging tank blending and scheduling problem regarding …
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Modeling and Optimization of Rechargeable Sensor Networks
… we develop a near-optimal solution by a piecewise linear approximation technique and prove its performance guarantee. This first study shows that network lifetime bottleneck can be fundamentally resolved by WET. 2. Multi-node Charging for a Dense WSN. We next exploit recent advances in …
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Performance assessment of multivariate control systems
… methods. The current work instead performs a piecewise linear approximation of the non-convex constraints, allowing for a linear programming solution of the problem. This document proposes tools that allow for an overall control loop assessment and diagnosis framework to be implemented. In the …
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Including biodiversity conservation in climate change decision making
… (cSAR) ecologic model and because of its non-linearity I propose three methods that can be used to integrate the chosen ecologic model into an optimization model. I also discuss the ethical assumptions behind the way biodiversity is incorporated via a constraint or via an objective function. …
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Embeddings for Disjunctive Programs with Applications to Political Districting and Rectangle Packing
… massive solution space through a variety of linearization techniques and cutting planes. Our focus on dual bounds is novel in the space. The final chapter develops a framework for identifying ideal mixed binary linear programs and applies it to several rectangle packing formulations. These …