On the Pareto compliance of the averaged hausdorff distance as a performance indicator / Sobre la sujeción de Pareto para la distancia promedio de hausdorff como indicador de desempeño / Sobre a sujeição de Pareto para a distância média de hausdorff como indicador de desempenho

Abstract The averaged Hausdorff distance Δ p is an inframetric, recently introduced in evolutionary multiobjective optimization (EMO) as a tool to measure the optimality of finite size approximations to the Pareto front associated to a multiobjective optimization problem (MOP). Tools of this kind are called performance indicators, and their quality depends on the useful criteria they provide to evaluate the suitability of different candidate solutions to a given MOP. We present here a purely theoretical study of the compliance of the Δ p -indicator to the notion of Pareto optimality. Since Δ p is defined in terms of a modified version of other well-known indicators, namely the generational distance GDp , and the inverted generational distance IGDp , specific criteria for the Pareto compliance of each one of them is discussed in detail. In doing so, we review some previously available knowledge on the behavior of these indicators, correcting inaccuracies found in the literature, and establish new and more general results, including detailed proofs and examples of illustrative situations.

Resumen La distancia promedio de Hausdorff Δp es una inframétrica recientemente introducida en optimización multiobjetivo evolutiva (EMO) como una herramienta para medir la optimalidad de aproximaciones finitas al frente de Pareto asociado con un problema de optimización multiobjetivo (MOP). Presentamos aquí un estudio puramente teórico sobre la sujeción del indicador Δp a la noción de optimalidad de Pareto. Puesto que Δp está definida en términos de una versión modificada de otros indicadores bien conocidos como lo son la distancia generacional GD p y la distancia generacional invertida IGD p , discutimos en detalle criterios específicos para la sujeción de tipo Pareto de cada uno de ellos. Adicionalmente, presentamos una revisión del comportamiento previamente conocido de estos indicadores, corrigiendo imprecisiones que se encuentran en la literatura y establecemos resultados nuevos y más generales, incluyendo pruebas detalladas y ejemplos ilustrativos.

Resumo A distância média de Hausdorff Δp é uma inframétrica introduzida recentemente em otimização multiobjetivo evolucionária (EMO) como uma ferramenta para medir a otimalidade de aproximações finitas para o frente de Pareto associado com um problema de optimização multiobjetivo (MOP). Apresentamos aqui um estudo puramente teórico sobre a sujeição do indicador Δp à noção de otimalidade de Pareto. Desde Δp é definido em termos de uma versão modificada de outros indicadores bem conhecidos, tais como a distância geraçional GD p ∈ a distância geraçional invertida IGD p , discutimos em detalhes critérios específicos para a sujeição de Pareto de cada um deles. Além disso, apresentamos uma revisão do comportamento previamente conhecido desses indicadores, corrigindo imprecisões encontradas na literatura ∈ estabelecemos novos ∈ mais gerais resultados, incluindo testes detalhados ∈ exemplos ilustrativos.

Optimización de la programación quirúrgica del cardiocentro Ernesto Che Guevara a través de un modelo matemático / Optimization of the surgical programming in cardiocentro Ernesto Che Guevara through a mathematical model

La Informática en la salud ha experimentado un vertiginoso avance en los últimos años, puede afirmarse que la mayoría de los servicios de salud precisan de software y modelos matemáticos para su adecuado funcionamiento; ejemplo de ello es la planificación de las cirugías cardiovasculares. El artículo trata acerca del mejoramiento y adaptación del método propuesto por Pradenas y Matamala a las condiciones del Cardiocentro Ernesto Che Guevara de Villa Clara, Cuba. Con el modelo obtenido se logra que se prioricen los pacientes con mayor gravedad de su enfermedad y que el total de cirugías tenga una distribución proporcional por provincias, ajustada al número de habitantes de cada una de ellas. Este modelo matemático permite resolver una difícil situación en la que se ha estado trabajando desde hace algunos años(AU)

Health informatics has experienced a great progress in recent years, that is why most of these services require software and mathematical models for its proper functioning; for example, in planning cardiovascular surgeries. This article is about improving and adaptation of the method proposed by Pradenas and Matamala to the conditions of Cardiocentro Ernesto Che Guevara from Villa Clara, Cuba. The obtained model guaranties the prioritization of those patients with greater severity of their illness; thus, total number of surgeries will have a proportional distribution for each provinces, according to the number of inhabitants. This mathematical model allows resolving the difficult situation in which it has been working for some years(AU)

Optimización de la programación quirúrgica del cardiocentro Ernesto Che Guevara a través de un modelo matemático / Optimization of the surgical programming in cardiocentro Ernesto Che Guevara through a mathematical model

La Informática en la salud ha experimentado un vertiginoso avance en los últimos años, puede afirmarse que la mayoría de los servicios de salud precisan de software y modelos matemáticos para su adecuado funcionamiento; ejemplo de ello es la planificación de las cirugías cardiovasculares. El artículo trata acerca del mejoramiento y adaptación del método propuesto por Pradenas y Matamala a las condiciones del Cardiocentro Ernesto Che Guevara de Villa Clara, Cuba. Con el modelo obtenido se logra que se prioricen los pacientes con mayor gravedad de su enfermedad y que el total de cirugías tenga una distribución proporcional por provincias, ajustada al número de habitantes de cada una de ellas. Este modelo matemático permite resolver una difícil situación en la que se ha estado trabajando desde hace algunos años(AU)

Health informatics has experienced a great progress in recent years, that is why most of these services require software and mathematical models for its proper functioning; for example, in planning cardiovascular surgeries. This article is about improving and adaptation of the method proposed by Pradenas and Matamala to the conditions of Cardiocentro Ernesto Che Guevara from Villa Clara, Cuba. The obtained model guaranties the prioritization of those patients with greater severity of their illness; thus, total number of surgeries will have a proportional distribution for each provinces, according to the number of inhabitants. This mathematical model allows resolving the difficult situation in which it has been working for some years(AU)

Benefits of integrating complementarity into priority threat management.

Conservation decision tools based on cost-effectiveness analysis are used to assess threat management strategies for improving species persistence. These approaches rank alternative strategies by their benefit to cost ratio but may fail to identify the optimal sets of strategies to implement under limited budgets because they do not account for redundancies. We devised a multiobjective optimization approach in which the complementarity principle is applied to identify the sets of threat management strategies that protect the most species for any budget. We used our approach to prioritize threat management strategies for 53 species of conservation concern in the Pilbara, Australia. We followed a structured elicitation approach to collect information on the benefits and costs of implementing 17 different conservation strategies during a 3-day workshop with 49 stakeholders and experts in the biodiversity, conservation, and management of the Pilbara. We compared the performance of our complementarity priority threat management approach with a current cost-effectiveness ranking approach. A complementary set of 3 strategies: domestic herbivore management, fire management and research, and sanctuaries provided all species with >50% chance of persistence for $4.7 million/year over 20 years. Achieving the same result cost almost twice as much ($9.71 million/year) when strategies were selected by their cost-effectiveness ranks alone. Our results show that complementarity of management benefits has the potential to double the impact of priority threat management approaches.