Search results for "Mathematical optimization"

showing 10 items of 1300 documents

A new method for creating sparse design velocity fields

2006

We present a novel method for the computation of mesh node sensitivities with respect to the boundary node movement. The sensitivity field is sparse in a sense that movement of each boundary node affects only given amount of inner mesh nodes, which can result in considerable savings in the storage space. The method needs minimal control from the user, and it does not place any restrictions (such as block structure) on the mesh. Use of the method is demonstrated with a shape optimization problem using CAD-free parametrization. A solution to the classical die-swell free boundary problem by coupling the boundary node locations with the state variables is also presented. In that case, sparsity …

Mathematical optimizationMechanical EngineeringComputationComputational MechanicsGeneral Physics and AstronomyBoundary (topology)ResidualComputer Science Applicationssymbols.namesakeMechanics of MaterialsMesh generationJacobian matrix and determinantsymbolsFree boundary problemNode (circuits)Sensitivity (control systems)AlgorithmMathematicsComputer Methods in Applied Mechanics and Engineering
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Discrete-timeH −  ∕ H ∞ sensor fault detection observer design for nonlinear systems with parameter uncertainty

2013

SUMMARY This work concerns robust sensor fault detection observer (SFDO) design for uncertain and disturbed discrete-time Takagi–Sugeno (T–S) systems using H −  ∕ H ∞ criterion. The principle of the proposed approach is based on simultaneously minimizing the perturbation effect and maximizing the fault effect on the residual vector. Furthermore, by introducing slack decision matrices and taking advantage of the descriptor formulation, less conservative sufficient conditions are proposed leading to easier linear matrix inequalities (LMIs). Moreover, the proposed (SFDO) design conditions allow dealing with unmeasurable premise variables. Finally, a numerical example and a truck–trailer system…

Mathematical optimizationMechanical EngineeringGeneral Chemical EngineeringBiomedical EngineeringAerospace EngineeringPerturbation (astronomy)ResidualIndustrial and Manufacturing EngineeringFault detection observerSystem modelNonlinear systemDiscrete time and continuous timeControl and Systems EngineeringControl theoryDecision matrixElectrical and Electronic EngineeringDesign methodsMathematicsInternational Journal of Robust and Nonlinear Control
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Stochastic dynamics of linear elastic trusses in presence of structural uncertainties (virtual distortion approach)

2004

Structures involving uncertainties in material and/or in geometrical parameters are referred to as uncertain structures. Reliability analysis of such structures strongly depends on variation of parameters and probabilistic approach is often used to characterize structural uncertainties. In this paper dynamic analysis of linearly elastic system in presence of random parameter variations will be performed. In detail parameter fluctuations have been considered as inelastic, stress and parameter dependent superimposed strains. Analysis is then carried out via superposition principle accounting for response to external agencies and parameter dependent strains. Proposed method yields asymptotic s…

Mathematical optimizationMechanical EngineeringLinear elasticityAerospace EngineeringTrussOcean EngineeringStatistical and Nonlinear PhysicsCondensed Matter PhysicsVariation of parametersDynamic load testingSuperposition principleVirtual DistortionNuclear Energy and EngineeringDynamic AnalysiSuperposition PrincipleDistortionStochastic ParameterConvergence (routing)Statistical physicsAsymptotic expansionCivil and Structural EngineeringMathematicsProbabilistic Engineering Mechanics
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MECHANISM DESIGN FOR OPTIMAL CONSENSUS PROBLEMS

2006

We consider stationary consensus protocols for networks of dynamic agents with fixed and switching topologies. At each time instant, each agent knows only its and its neighbors’ state, but must reach consensus on a group decision value that is function of all the agents’ initial state.We show that our protocol design is the solution of individual optimizations performed by the agents. This notion suggests a game theoretic interpretation of consensus problems as mechanism design problems. Under this perspective a supervisor entails the agents to reach a consensus by imposing individual objectives. We prove that such objectives can be chosen so that rational agents have a unique optimal proto…

Mathematical optimizationMechanism designDynamic agentsComputer sciencemedia_common.quotation_subjectDistributed computingmechanismcontainment controlRational agentStationary consensus protocolsNetwork topologyTopologyUniform consensusComputer Science::Multiagent SystemsSwitching topologiesComputer Science::Systems and ControlDynamic agents; Protocol design; Stationary consensus protocols; Switching topologiesSettore MAT/09 - Ricerca OperativaFunction (engineering)Protocol designProtocol (object-oriented programming)Game theoryMulti agent systemsmedia_common
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A numerical method for imaging of biological microstructures by VHF waves

2014

Imaging techniques give a fundamental support to medical diagnostics during the pathology discovery as well as for the characterization of bio-medical structures. The imaging methods involve electromagnetic waves in a frequency range that spans from some Hz to GHz and over. Most of these methods involve ionizing waves and scanning of a large human body area even if only a focused inspection is needed. In this paper, a numerical method to evaluate the shape of microstructures for application in the medical field, with a very low invasiveness for the human body, is proposed. In particular, the tooth’s root canal is considered. In fact, this is one of the hot topics in the endodontic procedure…

Mathematical optimizationMedical diagnosticAcousticsRoot canalElectromagnetic radiationSettore MAT/08 - Analisi NumericaRobustness (computer science)medicineMethod of MomentLevenberg–Marquardt methodMethod of MomentsMathematicsNon-linear modelApplied MathematicsNumerical analysisBiological microstructureNon ionizing waveInverse problemMicrostructureMagnetic fieldSettore ING-IND/31 - ElettrotecnicaComputational Mathematicsmedicine.anatomical_structureLevenberg-Marquardt methodInverse problemSettore MED/36 - Diagnostica Per Immagini E RadioterapiaJournal of Computational and Applied Mathematics
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Improving Computing Systems Automatic Multiobjective Optimization Through Meta-Optimization

2016

This paper presents the extension of framework for automatic design space exploration (FADSE) tool using a meta-optimization approach, which is used to improve the performance of design space exploration algorithms, by driving two different multiobjective meta-heuristics concurrently. More precisely, we selected two genetic multiobjective algorithms: 1) non-dominated sorting genetic algorithm-II and 2) strength Pareto evolutionary algorithm 2, that work together in order to improve both the solutions’ quality and the convergence speed. With the proposed improvements, we ran FADSE in order to optimize the hardware parameters’ values of the grid ALU processor (GAP) micro-architecture from a b…

Mathematical optimizationMeta-optimizationComputer scienceCycles per instructionDesign space explorationPareto principleSortingEvolutionary algorithm02 engineering and technologyComputer Graphics and Computer-Aided DesignMulti-objective optimization020202 computer hardware & architecture0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingAlgorithm designElectrical and Electronic EngineeringSoftwareIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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Pareto-optimal Glowworm Swarms Optimization for Smart Grids Management

2013

This paper presents a novel nature-inspired multi-objective optimization algorithm. The method extends the glowworm swarm particles optimization algorithm with algorithmical enhancements which allow to identify optimal pareto front in the objectives space. In addition, the system allows to specify constraining functions which are needed in practical applications. The framework has been applied to the power dispatch problem of distribution systems including Distributed Energy Resources (DER). Results for the test cases are reported and discussed elucidating both numerical and complexity analysis.

Mathematical optimizationMeta-optimizationComputer scienceDerivative-free optimizationTest functions for optimizationSwarm behaviourMulti-swarm optimizationevolutionary optimization swarm-optimization pareto optimization micro-gridsMulti-objective optimizationMetaheuristicEngineering optimization
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Simultaneous and multi-criteria optimization of TS requirements and maintenance at NPPs

2002

Abstract One of the main concerns of the nuclear industry is to improve the availability of safety-related systems at nuclear power plants (NPPs) to achieve high safety levels. The development of efficient testing and maintenance has been traditionally one of the different ways to guarantee high levels of systems availability, which are implemented at NPP through technical specification and maintenance requirements (TS&M). On the other hand, there is a widely recognized interest in using the probabilistic risk analysis (PRA) for risk-informed applications aimed to emphasize both effective risk control and effective resource expenditures at NPPs. TS&M-related parameters in a plant are associ…

Mathematical optimizationMeta-optimizationOptimization problemNuclear Energy and EngineeringComputer scienceProbabilistic-based design optimizationMulti-swarm optimizationMulti-objective optimizationBilevel optimizationMetaheuristicEngineering optimizationAnnals of Nuclear Energy
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Memetic Variation Local Search vs. Life-Time Learning in Electrical Impedance Tomography

2009

In this article, various metaheuristics for a numerical optimization problem with application to Electric Impedance Tomography are tested and compared. The experimental setup is composed of a real valued Genetic Algorithm, the Differential Evolution, a self adaptive Differential Evolution recently proposed in literature, and two novel Memetic Algorithms designed for the problem under study. The two proposed algorithms employ different algorithmic philosophies in the field of Memetic Computing. The first algorithm integrates a local search into the operations of the offspring generation, while the second algorithm applies a local search to individuals already generated in the spirit of life-…

Mathematical optimizationMeta-optimizationOptimization problembusiness.industryFitness landscapeDifferential evolutionComputer Science::Neural and Evolutionary ComputationGenetic algorithmMemetic algorithmLocal search (optimization)businessMetaheuristicMathematics
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A novel abstraction for swarm intelligence: particle field optimization

2016

Particle swarm optimization (PSO) is a popular meta-heuristic for black-box optimization. In essence, within this paradigm, the system is fully defined by a swarm of "particles" each characterized by a set of features such as its position, velocity and acceleration. The consequent optimized global best solution is obtained by comparing the personal best solutions of the entire swarm. Many variations and extensions of PSO have been developed since its creation in 1995, and the algorithm remains a popular topic of research. In this work we submit a new, abstracted perspective of the PSO system, where we attempt to move away from the swarm of individual particles, but rather characterize each …

Mathematical optimizationMeta-optimizationbusiness.industryComputer scienceComputingMethodologies_MISCELLANEOUSComputer Science::Neural and Evolutionary ComputationParticle swarm optimizationSwarm behaviour02 engineering and technology010502 geochemistry & geophysics01 natural sciencesSwarm intelligenceField (computer science)Artificial Intelligence0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingArtificial intelligenceMulti-swarm optimizationbusinessMetaheuristic0105 earth and related environmental sciencesAbstraction (linguistics)Autonomous Agents and Multi-Agent Systems
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