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A General Iterative Procedure of the Non-Numerical Ranking Preferences Method for Multiple Objective Decision Making

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Procedia Computer science 2012年 12卷 135-139页

作者： Victor M. Carrillo Heidi Taboada Computational Science Program. The University of Texas at El Paso 500 West University Av El Paso TX 79968-0521 United States of America Department of Industrial Manufacturing and Systems Engineering. The University of Texas at El Paso 500 West University Av El Paso TX 79968-0521 United States of America

Multiple objective evolutionary algorithms (MOEAs), which are biologically-inspired optimization methods, have become popular approaches to solve problems with multiple objective functions. With the use of MOEAs, multiple objective optimization becomes a two-part problem. First, the multiple objective optimization problem needs to be formulated and successfully solved using an MOEA. Then, a non- dominated set -also known as efficient or Pareto frontier- needs to be analyzed to select a solution to the problem. This can represent a challenging task to the decision-maker because this set can contain a large number of solutions. This decision- making stage is usually known as the post-Pareto analysis stage. This paper presents the generalization of a post-Pareto optimality method known as the non-numerical ranking preferences (NNRP) method originally proposed by Taboada et al . (2007). This method can help decision makers reduce the number of design possibilities to small subsets that clearly reflect their objective function preferences. Previous research has only presented the application of the NNRP method using three and four objective functions but had not been generalized to the case of n objective functions. The present paper expands the NNRP method to be able to consider multiple objective optimization problems with n number of objective functions.

关键词： post-Pareto optimality decision making multi-objective optimization

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Microstructural degeneracy associated with a two-point correlation function and its information content

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Physical Review E 2012年第5期85卷 051140-051140页

作者： C. J. Gommes Y. Jiao S. Torquato Department of Chemical Engineering University of Liège Liège 4000 Belgium Department of Chemistry Princeton University Princeton New Jersey 08544 USA Department of Physics Princeton University Princeton New Jersey 08544 USA Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA Princeton Center for Theoretical Science Princeton University Princeton New Jersey 08544 USA Princeton Institute for the Science and Technology of Materials Princeton University Princeton New Jersey 08544 USA

A two-point correlation function provides a crucial yet an incomplete characterization of a microstructure because distinctly different microstructures may have the same correlation function. In an earlier Letter [Gommes, Jiao, and Torquato, Phys. Rev. Lett. 108, 080601 (2012)], we addressed the microstructural degeneracy question: What is the number of microstructures compatible with a specified correlation function? We computed this degeneracy, i.e., configurational entropy, in the framework of reconstruction methods, which enabled us to map the problem to the determination of ground-state degeneracies. Here, we provide a more comprehensive presentation of the methodology and analyses, as well as additional results. Since the configuration space of a reconstruction problem is a hypercube on which a Hamming distance is defined, we can calculate analytically the energy profile of any reconstruction problem, corresponding to the average energy of all microstructures at a given Hamming distance from a ground state. The steepness of the energy profile is a measure of the roughness of the energy landscape associated with the reconstruction problem, which can be used as a proxy for the ground-state degeneracy. The relationship between this roughness metric and the ground-state degeneracy is calibrated using a Monte Carlo algorithm for determining the ground-state degeneracy of a variety of microstructures, including realizations of hard disks and Poisson point processes at various densities as well as those with known degeneracies (e.g., single disks of various sizes and a particular crystalline microstructure). We show that our results can be expressed in terms of the information content of the two-point correlation functions. From this perspective, the a priori condition for a reconstruction to be accurate is that the information content, expressed in bits, should be comparable to the number of pixels in the unknown microstructure. We provide a formula to calculate the

关键词： MICROSTRUCTURE CORRELATION (Statistics) INFORMATION theory ENTROPY (Information theory) GROUND state (Quantum mechanics) MONTE Carlo method POISSON processes

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Nonlinear Geometric Effects in Mechanical Bistable Morphing Structures

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Physical Review Letters 2012年第11期109卷 114302-114302页

作者： Zi Chen Qiaohang Guo Carmel Majidi Wenzhe Chen David J. Srolovitz Mikko P. Haataja Department of Mechanical and Aerospace Engineering Princeton University Princeton New Jersey 08544 USA Princeton Institute for the Science and Technology of Materials (PRISM) Princeton University Princeton New Jersey 08544 USA Department of Biomedical Engineering Washington University St. Louis Missouri 63130 USA College of Materials Science and Engineering Fuzhou University Fuzhou Fujian 350108 China Department of Mathematics and Physics Fujian University of Technology Fuzhou Fujian 350108 China Department of Mechanical Engineering Carnegie Mellon University Pittsburgh Pennsylvania 15213 USA Department of Materials Science and Engineering Fujian University of Technology Fuzhou Fujian 350108 China Institute for High Performance Computing 1 Fusionopolis Way Singapore 138632 Program in Applied and Computational Mathematics Princeton University Princeton New Jersey 08544 USA School of Mathematics Institute for Advanced Study Princeton New Jersey 08540 USA

Bistable structures associated with nonlinear deformation behavior, exemplified by the Venus flytrap and slap bracelet, can switch between different functional shapes upon actuation. Despite numerous efforts in modeling such large deformation behavior of shells, the roles of mechanical and nonlinear geometric effects on bistability remain elusive. We demonstrate, through both theoretical analysis and tabletop experiments, that two dimensionless parameters control bistability. Our work classifies the conditions for bistability, and extends the large deformation theory of plates and shells.

关键词： NONLINEAR theories DEFORMATIONS (Mechanics) PARAMETER estimation OPTICAL bistability STRUCTURAL shells PLATES (engineering) CRYSTAL structure

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Fluctuation free matrix representation based random data partitioning through HDMR

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AIP Conference Proceedings 2012年第1期1504卷

作者： M. Alper Tunga Metin Demiralp Bahçeşehir University Faculty of Engineering Department of Software Engineering Beşiktaş 34349 İstanbul Turkey İstanbul Technical University Informatics Institute Computational Science and Engineering Program Group for Science and Methods of Computing Maslak 34469 İstanbul Turkey

High Dimensional Model Representation (HDMR) method does not have the random data partitioning capability because of its nature. This paper focuses on how we can bring the random data partitioning feature to the HDMR method by virtue of the fluctuation free approximation method for the multivariate interpolation problems. The main aim of this work is to construct the universal fluctuation free matrix and to determine the best eigenvalues and the corresponding eigenvectors needed in our new method for partitioning the given multivariate random data through the HDMR method.

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Applications of compressed sensing for sar moving-target velocity estimation and image compression

Applications of compressed sensing for sar moving-target vel...

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作者： Khwaja, Ahmed Shaharyar Ma, Jianwei School of Aerospace Tsinghua University Beijing 100084 China Program in Computational Science and Engineering Florida State University Tallahassee FL 32306-4510 United States

Compressed sensing (CS) is a recently introduced concept that enables the recovery of signals sampled below the Nyquist rate. A prerequisite for its application is the sparsity of the concerned signals in a certain basis. The concept has been applied to medical imaging, seismic imaging, optical remote sensing, and, recently, radar. This paper describes two possible applications of CS for synthetic aperture radar (SAR): 1) estimation of moving-target velocities in the case of high and low signal-to-clutter ratios, as well as more than one scatterer in a single pixel making use of clutter cancellation, and 2) online compression of processed SAR images with the help of curvelet sparsity-promoting offline decoding. CS for SAR offers the possibility of using lesser amount of data, as well as a convenient way of knowing motion and position parameters of multiple moving targets. The CS technique is useful for simplification of hardware or reduction of data that are useful in the case of limited onboard data storage capacity. The results are demonstrated by means of numerical experiments using simulated data for moving-target velocity estimation and MiniSAR data for SAR image compression. © 2011 IEEE.

关键词： Compressed sensing

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Hybrid optimization schemes for global optimization: Wing modeling of micro-aerial vehicles

Hybrid optimization schemes for global optimization: Wing mo...

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2010 DoD High Performance Computing Modernization program Users Group Conference, HPCMP UGC 2010

作者： Velázquez, Leticia Argáez, Miguel Sanchez, Reinaldo Ramirez, Carlos Hernandez, Miguel Culbreth, Matt Jameson, Antony Program in Computational Science University of Texas at El Paso El Paso TX United States Department of Aerospace Engineering Stanford University Palo Alto CA United States

ISBN: (纸本)9780769543925

In this paper, we present a parallel hybrid algorithm for solving global optimization problems that is based on the coupling of a stochastic global (Simultaneous-Perturbation Stochastic Approximation, Simulated Annealing, Genetic Algorithms) and a local method (Newton-Krylov Interior-Point) via a surrogate model. There exist several algorithms for finding approximate global solutions, but our technique will further guarantee that such solutions satisfy physical bounds of the problem. First, the Simultaneous-Perturbation Stochastic Approximation (SPSA) algorithm conjectures regions where a global solution may exist. Next, some data points from the regions are selected to generate a continuously differentiable surrogate model that approximates the original function. Finally, the Newton-Krylov Interior-Point (NKIP) algorithm is applied to the surrogate model subject to bound constraints for obtaining a feasible approximate global solution. The hybrid optimization code is being applied to Stanford's UFLO computational Fluid Dynamics (CFD) code. This code is used by the US Army High Performance Computing Research Center (AHPCRC) to develop flapping-and twisting-wing models for Micro Aerial Vehicles (MAV), hummingbird-sized airborne vehicles that can be used for sensing and surveillance. We present some preliminary numerical results of the large-scale high performance computing (HPC) hybrid optimization C code that is being run on the Department of Defense MANA machine from Maui, Hawaii. © 2011 IEEE.

关键词： Global optimization

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Numerical model for an IWRC bending over sheave problem and its finite element solution

Numerical model for an IWRC bending over sheave problem and ...

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Int. Conf. on Applied, Numerical and computational Mathematics, ICANCM'11, Int. Conf. on Computers, Digital Communications and Computing, ICDCC'11, Int. Conference on Applied Social science, Social Economy and Digital Convergence, IC-ASSSE-DC'11

作者： ErdöNmez, Cengiz Imrak, Cevat Erdem Computational Science and Engineering Program Istanbul Technical University ITU Institute of Informatics 34469 Maslak Istanbul Turkey Mechanical Engineering Department Istanbul Technical University Faculty of Mechanical Engineering Gümüşsuyu 34437 Istanbul Turkey

ISBN: (纸本)9781618040305

Numerical model and finite element analysis of an independent wire rope core (IWRC) which is bent over a sheave is investigated in this paper. 3-D solid model of the IWRC is constructed by using mesh generation techniques first. Then, problem of wire rope bending over sheave is considered. Finite element model is constructed and analyzed for a wire rope bent over sheave problem here. Two different lengths of IWRCs are analyzed for bending problem, a 9mm and a 300mm lengths respectively. Force distribution within an IWRC is presented by obtained wire-by-wire based numerical results. This analysis gives insight of the wire rope behavior while it is bent over sheave. Using the proposed analysis technique, stress distributions within an IWRC can be obtained for each wire composing the whole geometry.

关键词： Finite element method

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Numerical study on supersonic inlet buzz under various throttling conditions and fluid-structure interaction

Numerical study on supersonic inlet buzz under various throt...

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29th AIAA Applied Aerodynamics Conference 2011

作者： Hong, Wooram Kim, Chongam Interdisciplinary Program in Computational Science and Technology Seoul National University Seoul Korea Republic of Department of Aerospace Engineering Institute of Advanced Aerospace Technology Seoul National University Seoul Korea Republic of

ISBN: (纸本)9781624101458

This paper presents numerical investigations on the buzz characteristics of a supersonic inlet. By applying dynamic throttling conditions and using FSI (Fluid-Structure Interaction) technique, we were able to match operating conditions close to the real cases. In order to evaluate the effects of the dynamic throttling conditions and FSI, numerical simulations of a supersonic inlet configuration were performed sequentially for the following three stages. At first, the physical phenomena related to the inlet buzz such as shock-shock and shock-boundary interactions were studied under static throttling condition. In the second stage, the effect of the dynamic throttling ratio on the inlet buzz was examined. A dynamic throttling condition is assumed that the inlet is initially in high frequency buzz condition, from which throttling plug at the exit nozzle starts to move. Finally, the structural deformation effect was figured out using FSI for the same throttling conditions. The results of these studies reveal the detailed effects of the throttling ratio and the structural deformation on the buzz characteristics. © 2011 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

关键词： Fluid structure interaction

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Efactagent: Agent architecture for management, search and retrievel of e-learning artifacts

Efactagent: Agent architecture for management, search and re...

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IADIS International Conference WWW/Internet 2011, ICWI 2011

作者： Braga, Regina Campos, Fernanda Santos, Neide Souza, Ana Cláudia Knowledge Engineering Research Center Computer Science Program Federal University of Juiz de Fora Juiz De Fora - Minas Gerais Brazil Computational Sciences Program State University of Rio de Janeiro Rio De Janeiro - RJ Brazil

ISBN: (纸本)9789898533012

E-Learning activities are growing around the world, accompanied by a proliferation of data, learning objects (LO) and tools. This imposes new challenges as, for example, how to find available artifacts. This work aims to propose an architecture based on intelligent agents to search, retrieve and execute LO, generated within research projects related to educational domains. It allows the search, retrieval and use of LO, through the use of ontological annotations and using intelligent mechanisms that will act on those annotations. To reach this goal, the paper presents BROAD ontology and proposes the EFACTAgent architecture. © 2011 IADIS.

关键词： Ontology

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Comprehensive analysis of compositional interface fluctuations in planar lipid bilayer membranes

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Physical Review E 2011年第5期84卷 051903-051903页

作者： Tao Han Mikko Haataja Department of Mechanical and Aerospace Engineering Princeton Institute for the Science and Technology of Materials (PRISM) and Program in Applied and Computational Mathematics (PACM) Princeton University Princeton New Jersey 08544 USA

In this paper we present a comprehensive analysis of line tension-driven compositional interface fluctuations in planar lipid bilayer membranes. Our starting point is the advective Cahn-Hilliard equation for the local lipid composition in symmetric membranes, which explicitly incorporates both advective and diffusive lipid transport processes, and which is coupled to the continuum hydrodynamic equations governing the flow behavior of the membrane and surrounding solvent with finite subphase thickness. In order to extract the interface dynamics from the continuum phase-field formalism, we first derive the appropriate sharp-interface limit equations. We then carry out a linear perturbation analysis for the relaxational dynamics of small-amplitude sinusoidal interface fluctuations to yield the general dispersion relation ωk as a function of perturbation wave number k. The resulting expression incorporates the effects of diffusive and advective lipid transport processes within the membrane, viscous or viscoelastic membrane properties, coupling between membrane and solvent, and inertial effects within the membrane and solvent. It is shown that previously considered scenarios naturally emerge as limiting cases of the general result. Furthermore, we discuss two additional scenarios amenable to analysis, one in which the inertia of the solvent is relevant, and another one in which the membrane displays significant viscoelastic properties. Finally, we numerically evaluate the general dispersion relation for three representative model membrane systems.

关键词： BILAYER lipid membranes FLUCTUATIONS (Physics) PERTURBATION (Mathematics) VISCOELASTICITY HYDRODYNAMICS

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