A web-based tool to evaluate the iterative processes of direct search methods

Constrained and unconstrained Nonlinear Optimization Problems often appear in many engineering areas. In some of these cases it is not possible to use derivative based optimization methods because the objective function is not known or it is too complex or the objective function is non-smooth. In these cases derivative based methods cannot be used and Direct Search Methods might be the most suitable optimization methods. An Application Programming Interface (API) including some of these methods was implemented using Java Technology. This API can be accessed either by applications running in the same computer where it is installed or, it can be remotely accessed through a LAN or the Internet, using webservices. From the engineering point of view, the information needed from the API is the solution for the provided problem. On the other hand, from the optimization methods researchers’ point of view, not only the solution for the problem is needed. Also additional information about the iterative process is useful, such as: the number of iterations; the value of the solution at each iteration; the stopping criteria, etc. In this paper are presented the features added to the API to allow users to access to the iterative process data.

Direct-search penalty/barrier methods

In Nonlinear Optimization Penalty and Barrier Methods are normally used to solve Constrained Problems. There are several Penalty/Barrier Methods and they are used in several areas from Engineering to Economy, through Biology, Chemistry, Physics among others. In these areas it often appears Optimization Problems in which the involved functions (objective and constraints) are non-smooth and/or their derivatives are not know. In this work some Penalty/Barrier functions are tested and compared, using in the internal process, Derivative-free, namely Direct Search, methods. This work is a part of a bigger project involving the development of an Application Programming Interface, that implements several Optimization Methods, to be used in applications that need to solve constrained and/or unconstrained Nonlinear Optimization Problems. Besides the use of it in applied mathematics research it is also to be used in engineering software packages.

Fractional dynamics in financial indexes

The goal of this study is the analysis of the dynamical properties of financial data series from 32 worldwide stock market indices during the period 2000–2009 at a daily time horizon. Stock market indices are examples of complex interacting systems for which a huge amount of data exists. The methods and algorithms that have been explored for the description of physical phenomena become an effective background in the analysis of economical data. In this perspective are applied the classical concepts of signal analysis, Fourier transform and methods of fractional calculus. The results reveal classification patterns typical of fractional dynamical systems.

Legal and health variations in drug litigation injunctions granted in Minas Gerais

OBJECTIVE To investigate the factors related to the granting of preliminary court orders [injunctions] in drug litigations. METHODS A retrospective descriptive study of drug lawsuits in the State of Minas Gerais, Southeastern Brazil, was conducted from October 1999 to 2009. The database consists of 6,112 lawsuits, out of which 6,044 had motions for injunctions and 5,167 included the requisition of drugs. Those with more than one beneficiary were excluded, which totaled 5,072 examined suits. The variables for complete, partial, and suppressed motions were treated as dependent and assessed in relation to those that were independent – lawsuits (year, type, legal representation, defendant, court in which it was filed, adjudication time), drugs (level five of the anatomical therapeutic chemical classification), and diseases (chapter of the International Classification of Diseases). Statistical analyses were performed using the Chi-square test. RESULTS Out of the 5,072 lawsuits with injunctions, 4,184 (82.5%) had the injunctions granted. Granting varied from 95.8% of the total lawsuits in 2004 to 76.9% in 2008. Where there was legal representation, granting exceeded 80.0% and in lawsuits without representation, it did not exceed 66.9%. In public civil actions (89.1%), granting was higher relative to ordinary lawsuits (82.8%) and injunctions (80.1%). Federal courts granted only 68.6% of the injunctions, while the state courts granted 84.8%. Diseases of the digestive system and neoplasms received up to 87.0% in granting, while diseases of the nervous system, mental and behavioral disorders, and diseases of the skin and subcutaneous tissue received granting below 78.6% and showed a high proportion of suspended injunctions (10.9%). Injunctions involving paroxetine, somatropin, and ferrous sulfate drugs were all granted, while less than 54.0% of those involving escitalopram, sodium diclofenac, and nortriptyline were granted. CONCLUSIONS There are significant differences in the granting of injunctions, depending on the procedural and clinical variances. Important trends in the pattern of judicial action were observed, particularly, in the reduced granting [of injunctions] over the period.

Is multidimensional scaling suitable for mapping the input respiratory impedance in subjects and patients?

This paper presents the application of multidimensional scaling (MDS) analysis to data emerging from noninvasive lung function tests, namely the input respiratory impedance. The aim is to obtain a geometrical mapping of the diseases in a 3D space representation, allowing analysis of (dis)similarities between subjects within the same pathology groups, as well as between the various groups. The adult patient groups investigated were healthy, diagnosed chronic obstructive pulmonary disease (COPD) and diagnosed kyphoscoliosis, respectively. The children patient groups were healthy, asthma and cystic fibrosis. The results suggest that MDS can be successfully employed for mapping purposes of restrictive (kyphoscoliosis) and obstructive (COPD) pathologies. Hence, MDS tools can be further examined to define clear limits between pools of patients for clinical classification, and used as a training aid for medical traineeship.