Reaction-diffusion systems coupled at the boundary and the Morse-Smale property

We study an one-dimensional nonlinear reaction-diffusion system coupled on the boundary. Such system comes from modeling problems of temperature distribution on two bars of same length, jointed together, with different diffusion coefficients. We prove the transversality property of unstable and stable manifolds assuming all equilibrium points are hyperbolic. To this end, we write the system as an equation with noncontinuous diffusion coefficient. We then study the nonincreasing property of the number of zeros of a linearized nonautonomous equation as well as the Sturm-Liouville properties of the solutions of a linear elliptic problem. (C) 2008 Elsevier Inc. All rights reserved.

A stopping rule while searching for optimal solution of facility-location

Solutions to combinatorial optimization, such as p-median problems of locating facilities, frequently rely on heuristics to minimize the objective function. The minimum is sought iteratively and a criterion is needed to decide when the procedure (almost) attains it. However, pre-setting the number of iterations dominates in OR applications, which implies that the quality of the solution cannot be ascertained. A small branch of the literature suggests using statistical principles to estimate the minimum and use the estimate for either stopping or evaluating the quality of the solution. In this paper we use test-problems taken from Baesley's OR-library and apply Simulated Annealing on these p-median problems. We do this for the purpose of comparing suggested methods of minimum estimation and, eventually, provide a recommendation for practioners. An illustration ends the paper being a problem of locating some 70 distribution centers of the Swedish Post in a region.

Ensaios sobre o poder judiciário no Brasil

A tese apresenta três ensaios empíricos sobre os padrões decisórios de magistrados no Brasil, elaborados à partir de bases de dados inéditas e de larga escala, que contém detalhes de dezenas de milhares de processos judiciais na primeira e na segunda instância. As bases de dados são coletadas pelo próprio autor através de programas-robô de coleta em massa de informações, aplicados aos "links" de acompanhamento processual de tribunais estaduais no Brasil (Paraná, Minas Gerais e Santa Catarina). O primeiro artigo avalia - com base em modelo estatístico - a importância de fatores extra-legais sobre os resultados de ações judiciais, na Justiça Estadual do Paraná. Isto é, se os juízes favorecem sistematicamente a parte hipossuficiente (beneficiária de Assistência Judiciária Gratuita). No segundo artigo, estuda-se a relação entre a duração de ações cíveis no primeiro grau e a probabilidade de reforma da sentença, utilizando-se dados da Justiça Estadual de Minas Gerais. O objetivo é avaliar se existe um dilema entre a duração e a qualidade das sentenças. Dito de outra forma, se existe um dilema entre a observância do direito ao devido processo legal e a celeridade processual. O último artigo teste a hipótese - no âmbito de apelações criminais e incidentes recursais no Tribunal de Justiça de Santa Catarina - de que as origens profissionais dos desembargadores influenciam seus padrões decisórios. Isto é, testa-se a hipótese de que desembargadores/relatores oriundos da carreira da advocacia são mais "garantistas" ( e desembargadores oriundos da carreira do Ministério Público são menos "garantistas") relativamente aos seus pares oriundos da carreira da magistratura. Testam-se as hipóteses com base em um modelo estatístico que explica a probabilidade de uma decisão recursal favorável ao réu, em função da origem de carreira do relator do recurso, além de um conjunto de características do processo e do órgão julgador.

Análise dos fundamentos do modelo value-based health care delivery à luz das teorias de estratégia

O setor de saúde, globalmente, apresenta problemas relacionados aos seus custos, qualidade e acesso. Porter e Teisberg (2004, 2006) propuseram modelo de gestão específico para a administração estratégica na área, o Value-Based Health Care Delivery (VBHCD). O modelo teve relativa repercussão e vem influenciando muitos atores no setor. Contudo, o modelo vem sendo aceito sem o devido questionamento de seus fundamentos e consistência com a teoria em estratégia. O presente trabalho busca, por meio de um ensaio teórico, analisar o modelo proposto à luz de paradigmas gerais da estratégia empresarial como, por exemplo, o modelo de Porter e a Visão Baseada em Recursos (RBV). Inicialmente, o artigo sintetiza as explicações teóricas do modelo porteriano clássico e da RBV. Em seguida, o VBHCD é examinado comparado a essas explicações, buscando-se relações e, eventualmente, contradições. Conclui-se que o modelo VBHCD não se alinha integralmente a nenhum corpo teórico isoladamente. Mesmo sendo proposto por Porter, parte de seus fundamentos advém, na verdade, de outras correntes teóricas. Esta abordagem integradora de teorias concorrentes, apesar de presente na literatura, ainda apresenta dificuldades e barreiras, um aspecto que não está explícito no modelo

Non-asymptotic confidence bounds for the optimal value of a stochastic program

We discuss a general approach to building non-asymptotic confidence bounds for stochastic optimization problems. Our principal contribution is the observation that a Sample Average Approximation of a problem supplies upper and lower bounds for the optimal value of the problem which are essentially better than the quality of the corresponding optimal solutions. At the same time, such bounds are more reliable than “standard” confidence bounds obtained through the asymptotic approach. We also discuss bounding the optimal value of MinMax Stochastic Optimization and stochastically constrained problems. We conclude with a small simulation study illustrating the numerical behavior of the proposed bounds.

A modified Primal-Dual Logarithmic-Barrier Method for solving the Optimal Power Flow problem with discrete and continuous control variables

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Dynamic Tracking with Zero Variation and Disturbance Rejection Applied to Discrete-Time Systems

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Dynamic stationary response of reinforced plates by the boundary element method

A direct version of the boundary element method (BEM) is developed to model the stationary dynamic response of reinforced plate structures, such as reinforced panels in buildings, automobiles, and airplanes. The dynamic stationary fundamental solutions of thin plates and plane stress state are used to transform the governing partial differential equations into boundary integral equations (BIEs). Two sets of uncoupled BIEs are formulated, respectively, for the in-plane state ( membrane) and for the out-of-plane state ( bending). These uncoupled systems are joined to formamacro-element, in which membrane and bending effects are present. The association of these macro-elements is able to simulate thin-walled structures, including reinforced plate structures. In the present formulation, the BIE is discretized by continuous and/or discontinuous linear elements. Four displacement integral equations are written for every boundary node. Modal data, that is, natural frequencies and the corresponding mode shapes of reinforced plates, are obtained from information contained in the frequency response functions (FRFs). A specific example is presented to illustrate the versatility of the proposed methodology. Different configurations of the reinforcements are used to simulate simply supported and clamped boundary conditions for the plate structures. The procedure is validated by comparison with results determined by the finite element method (FEM).

Wavelet-Galerkin method for one-dimensional elastoplasticity and damage problems: Constitutive modeling and computational aspects

This work presents an analysis of the wavelet-Galerkin method for one-dimensional elastoplastic-damage problems. Time-stepping algorithm for non-linear dynamics is presented. Numerical treatment of the constitutive models is developed by the use of return-mapping algorithm. For spacial discretization we can use wavelet-Galerkin method instead of standard finite element method. This approach allows to locate singularities. The discrete formulation developed can be applied to the simulation of one-dimensional problems for elastic-plastic-damage models. (C) 2007 Elsevier B.V. All rights reserved.

Energy gain induced by boundary crisis

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

VERY RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS. THE CASE of A NON UNIFORMLY LIPSCHITZ DEFORMATION

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Fluctuating dimension in a discrete model for quantum gravity based on the spectral principle

The spectral principle of Connes and Chamseddine is used as a starting point to define a discrete model for Euclidean quantum gravity. Instead of summing over ordinary geometries, we consider the sum over generalized geometries where topology, metric, and dimension can fluctuate. The model describes the geometry of spaces with a countable number n of points, and is related to the Gaussian unitary ensemble of Hermitian matrices. We show that this simple model has two phases. The expectation value , the average number of points in the Universe, is finite in one phase and diverges in the other. We compute the critical point as well as the critical exponent of . Moreover, the space-time dimension delta is a dynamical observable in our model, and plays the role of an order parameter. The computation of is discussed and an upper bound is found, < 2.

Studying properties of Lagrangian bounds for many-to-many assignment problems

Classical and modified Lagrangian bounds for the optimal value of optimization problems with a double decomposable structure are studied. For the class of many-to-many assignment problems, this property of constraints is used to design a subgradient algorithm for solving the modified dual problem. Numerical results are presented to compare the quality of classical and modified bounds, as well as the properties of the corresponding Lagrangian solutions.

Comparison of Lagrangian Bounds for One Class of Generalized Assignment Problems

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)