A convex analysis approach for convex multiplicative programming

Global optimization problems involving the minimization of a product of convex functions on a convex set are addressed in this paper. Elements of convex analysis are used to obtain a suitable representation of the convex multiplicative problem in the outcome space, where its global solution is reduced to the solution of a sequence of quasiconcave minimizations on polytopes. Computational experiments illustrate the performance of the global optimization algorithm proposed.41457959

Bi-objective optimisation with multiple decision-makers: a convex approach to attain majority solutions

An interactive approach for solving bi-objective optimisation problems with multiple decision-makers in a context where the decisions are made via the strict majority voting rule is proposed. An adequate use of projection and decomposition techniques leads to a hierarchical algorithm in which the upper level is represented by a relaxed version of the bi-objective problem in the objective space. The feasibility of the partial consensus obtained in the upper (decision) level by the strict majority voting rule is tested in the lower (analysis) level of the algorithm. Some properties of the relaxed bi-objective problem allow that different preference structures of the decision-makers can be represented by appropriate multiobjective methods. The paper includes numerical examples that illustrate the characteristics of the approach proposed.51333334

Microepidemia familiar por Trichophyton tonsurans Trichophyton tonsurans in a family microepidemic

Trichophyton tonsurans é um fungo dermatófito antropofílico de alta transmissibilidade que invade tecidos queratinizados. Relatamos um caso de microepidemia familiar causada por esse dermatófito no qual, apesar das ótimas condições de higiene, o fungo se manteve viável por vários anos, disseminando-se para todos os membros da família. A hipótese de que estivesse sendo mantido na residência da família foi confirmada após análise de amostras do domicílio, em que foram isoladas e identificadas culturas puras do fungo. Após o diagnóstico, a residência foi desinfetada e todos os membros da família receberam tratamento oral concomitantemente.<br>Trichophyton tonsurans is a highly transmissible anthropophilic dermatophyte fungus, which invades keratinized tissues. This study reports a case of family microepidemic caused by this dermato phyte. Despite their excellent hygiene conditions, it remained active for several years, spreading to all family members. The hypothesis that the fungus was being kept alive in the family home was confirmed after samples collected from it were analyzed. Pure cultures of the fungus were isolated and identified. After diagnosis, the house was disinfected with concomitant oral treatment for all family members

Forecasting: theory and practice

Forecasting has always been at the forefront of decision making and planning. The uncertainty that surrounds the future is both exciting and challenging, with individuals and organisations seeking to minimise risks and maximise utilities. The large number of forecasting applications calls for a diverse set of forecasting methods to tackle real-life challenges. This article provides a non-systematic review of the theory and the practice of forecasting. We provide an overview of a wide range of theoretical, state-of-the-art models, methods, principles, and approaches to prepare, produce, organise, and evaluate forecasts. We then demonstrate how such theoretical concepts are applied in a variety of real-life contexts. We do not claim that this review is an exhaustive list of methods and applications. However, we wish that our encyclopedic presentation will offer a point of reference for the rich work that has been undertaken over the last decades, with some key insights for the future of forecasting theory and practice. Given its encyclopedic nature, the intended mode of reading is non-linear. We offer cross-references to allow the readers to navigate through the various topics. We complement the theoretical concepts and applications covered by large lists of free or open-source software implementations and publicly-available databases