An efficient numerical scheme for solving multi-dimensional fractional optimal control problems with a quadratic performance index

The shifted Legendre orthogonal polynomials are used for the numerical solution of a new formulation for the multi-dimensional fractional optimal control problem (M-DFOCP) with a quadratic performance index. The fractional derivatives are described in the Caputo sense. The Lagrange multiplier method for the constrained extremum and the operational matrix of fractional integrals are used together with the help of the properties of the shifted Legendre orthonormal polynomials. The method reduces the M-DFOCP to a simpler problem that consists of solving a system of algebraic equations. For confirming the efficiency and accuracy of the proposed scheme, some test problems are implemented with their approximate solutions.

Perfil do doente com infecção do trato urinário num serviço de ortopedia

RESUMO - As infecções do trato urinário são um problema constante nas unidades prestadoras de cuidados de saúde. Sabe-se que a incidência das mesmas é das mais elevadas em termos de infecções associadas aos cuidados de saúde, bem como acarretam fortes custos hospitalares devido ao aumento da demora média de internamento, uso de antibioterapia aumentado, entre outros. De modo a tentar compreender toda esta problemática, com a realização deste trabalho de projecto, pretende-se encontrar o perfil do doente com infecção do trato urinário num serviço de Ortopedia. Através deste mesmo perfil, tornar-se-á mais fácil uma vigilância epidemiológica e intervenções mais direccionadas ao problema em questão. Para tal, pretende-se construir um instrumento de colheita de dados que caracterize o doente de uma forma geral, antes, e durante o próprio internamento. Caso este mesmo instrumento fosse aplicado, pretender-se-ia cruzar as váriáveis concluindo eventualmente o perfil, justificando melhor o facto da existência de infecções urinárias e adequando medidas de prevenção. ------------ -ABSTRACT - The urinary infections are a constant problem in the health care facilities. It is known that the incidence of these infections is one of the biggest in terms of infections associated to health care, as well as they bring higher hospital costs, due to the middle delay of internment, the increased use of antibioterapy, as long as others. In the way of trying to understand all problems, with the realization of this work project, one intends to find the profile of the orthopedic patient with urinary infection, in the Orthopedic Service. Trough this same profile, it will be easier to do an epidemiological surveillance and more directed interventions to the problem in matter. To achieve this goal, it is claimed to build an instrument of data collection that characterizes the patient in a general way, before and during the internment. If this instrument would be applied, it would be intended to cross the variables concluding eventually the profile, justifying better the fact of the existence of urinary infection

Measures in Sectorization Problems

Sectorization means dividing a whole into parts (sectors), a procedure that occurs in many contexts and applications, usually to achieve some goal or to facilitate an activity. The objective may be a better organization or simplification of a large problem into smaller sub-problems. Examples of applications are political districting and sales territory division. When designing/comparing sectors some characteristics such as contiguity, equilibrium and compactness are usually considered. This paper presents and describes new generic measures and proposes a new measure, desirability, connected with the idea of preference.

Sectorization: measures and an electromagnetism based approach

Sectorization means dividing a set of basic units into sectors or parts, a procedure that occurs in several contexts, such as political, health and school districting, social networks and sales territory or airspace assignment, to achieve some goal or to facilitate an activity. This presentation will focus on three main issues: Measures, a new approach to sectorization problems and an application in waste collection. When designing or comparing sectors different characteristics are usually taken into account. Some are commonly used, and they are related to the concepts of contiguity, equilibrium and compactness. These fundamental characteristics will be addressed, by defining new generic measures and by proposing a new measure, desirability, connected with the idea of preference. A new approach to sectorization inspired in Coulomb’s Law, which establishes a relation of force between electrically charged points, will be proposed. A charged point represents a small region with specific characteristics/values creating relations of attraction/repulsion with the others (two by two), proportional to the charges and inversely proportional to their distance. Finally, a real case about sectorization and vehicle routing in solid waste collection will be mentioned.

Viver mais... Pensar o passado, viver o presente e sonhar o futuro Projeto de Investigação e Intervenção em Educação Social

Este relatório é o resultado descritivo e reflexivo de um Projeto de Educação e Intervenção Social, "Viver mais... Pensar o passado, viver o presente e sonhar o futuro", desenvolvido com um grupo de idosos do Centro de Caridade Nossa Senhora do Perpetuo Socorro. O projeto de investigação e de intervenção social seguiu as linhas metodológicas da Investigação Ação Participativa, em que os sujeitos são atores participativos e interventivos. Para o desenvolvimento deste projeto foi necessário recorrer a algumas técnicas de investigação, como a observação participante, conversas intencionais e análise documental, que facilitaram a recolha de informações, a análise da realidade e a intervenção desenvolvida. A partir da análise da realidade emergiram alguns problemas e necessidades que foram priorizados pelos sujeitos, daí surgiu o projeto de intervenção que aqui se apresenta com a finalidade de “Melhorar a qualidade de vida dos idosos do Centro de Dia do Centro de Caridade Nossa Senhora do Perpetuo Socorro, através da valorização das suas histórias de vida e melhoria das relações interpessoais”. Este projeto teve três grandes focos importantes que foi a recolha e construção das narrativas de vida de alguns participantes, a realização de vários encontros intergeracionais entre os idosos do Centro de Dia e as crianças do Jardim de Infância e o processo de consciencialização por parte dos idosos sobre a importância do grupo para o bem-estar pessoal, a gestão de conflitos e a melhoria das dinâmicas relacionais. Os resultados do projeto foram relevantes porque foram o produto de um processo reflexivo e de partilha entre os indivíduos, que favoreceu o desenvolvimento de um sentimento de utilidade e de valorização pessoal nos sujeitos, melhorando e fortalecendo assim as relações interpessoais entre eles.

A filter inexact-restoration method for nonlinear programming

A new iterative algorithm based on the inexact-restoration (IR) approach combined with the filter strategy to solve nonlinear constrained optimization problems is presented. The high level algorithm is suggested by Gonzaga et al. (SIAM J. Optim. 14:646–669, 2003) but not yet implement—the internal algorithms are not proposed. The filter, a new concept introduced by Fletcher and Leyffer (Math. Program. Ser. A 91:239–269, 2002), replaces the merit function avoiding the penalty parameter estimation and the difficulties related to the nondifferentiability. In the IR approach two independent phases are performed in each iteration, the feasibility and the optimality phases. The line search filter is combined with the first one phase to generate a “more feasible” point, and then it is used in the optimality phase to reach an “optimal” point. Numerical experiences with a collection of AMPL problems and a performance comparison with IPOPT are provided.

Spectral and homogenization problems

Dissertation for the Degree of Doctor of Philosophy in Mathematics

Viability and molecular authentication of Coccidioides spp. isolates from the Instituto de Medicina Tropical de São Paulo culture collection, Brazil

Coccidioidomycosis is an emerging fungal disease in Brazil; adequate maintenance and authentication of Coccidioides isolates are essential for research into genetic diversity of the environmental organisms, as well as for understanding the human disease. Seventeen Coccidioides isolates maintained under mineral oil since 1975 in the Instituto de Medicina Tropical de São Paulo (IMTSP) culture collection, Brazil, were evaluated with respect to their viability, morphological characteristics and genetic features in order to authenticate these fungal cultures. Only five isolates were viable after almost 30 years, showing typical morphological characteristics, and sequencing analysis using Coi-F and Coi-R primers revealed 99% identity with Coccidioides genera. These five isolates were then preserved in liquid nitrogen and sterile water, and remained viable after two years of storage under these conditions, maintaining the same features.

Health problems awareness during travel among faculty members of a large university in Latin America: preliminary report

Health safety during trips is based on previous counseling, vaccination and prevention of infections, previous diseases or specific problems related to the destination. Our aim was to assess two aspects, incidence of health problems related to travel and the traveler's awareness of health safety. To this end we phone-interviewed faculty members of a large public University, randomly selected from humanities, engineering and health schools. Out of 520 attempts, we were able to contact 67 (12.9%) and 46 (68.6%) agreed to participate in the study. There was a large male proportion (37/44, 84.1%), mature adults mostly in their forties and fifties (32/44, 72.7%), all of them with higher education, as you would expect of faculty members. Most described themselves as being sedentary or as taking occasional exercise, with only 15.9% (7/44) taking regular exercise. Preexisting diseases were reported by 15 travelers. Most trips lasted usually one week or less. Duration of the travel was related to the destination, with (12h) or longer trips being taken by 68.2% (30/44) of travelers, and the others taking shorter (3h) domestic trips. Most travelling was made by air (41/44) and only 31.8% (14/44) of the trips were motivated by leisure. Field research trips were not reported. Specific health counseling previous to travel was reported only by two (4.5%). Twenty seven of them (61.4%) reported updated immunization, but 11/30 reported unchecked immunizations. 30% (9/30) reported travel without any health insurance coverage. As a whole group, 6 (13.6%) travelers reported at least one health problem attributed to the trip. All of them were males travelling abroad. Five presented respiratory infections, such as influenza and common cold, one neurological, one orthopedic, one social and one hypertension. There were no gender differences regarding age groups, destination, type of transport, previous health counseling, leisure travel motivation or pre-existing diseases. Interestingly, the two cases of previous health counseling were made by domestic travelers. Our data clearly shows that despite a significant number of travel related health problems, these highly educated faculty members, had a low awareness of those risks, and a significant number of travels are made without prior counseling or health insurance. A counseling program conducted by a tourism and health professional must be implemented for faculty members in order to increase the awareness of travel related health problems.

Heuristics and policies for online pickup and delivery problems

Master Thesis

Distributed processing of large remote sensing images using MapReduce - A case of Edge Detection

Dissertation submitted in partial fulfillment of the requirements for the Degree of Master of Science in Geospatial Technologies.

Factorization of elliptic boundary value problems by invariant embedding and application to overdetermined problems

Dissertação para obtenção do Grau de Doutor em Matemática