SOP: Parallel surrogate global optimization with Pareto center selection for computationally expensive single objective problems

This paper presents a parallel surrogate-based global optimization method for computationally expensive objective functions that is more effective for larger numbers of processors. To reach this goal, we integrated concepts from multi-objective optimization and tabu search into, single objective, surrogate optimization. Our proposed derivative-free algorithm, called SOP, uses non-dominated sorting of points for which the expensive function has been previously evaluated. The two objectives are the expensive function value of the point and the minimum distance of the point to previously evaluated points. Based on the results of non-dominated sorting, P points from the sorted fronts are selected as centers from which many candidate points are generated by random perturbations. Based on surrogate approximation, the best candidate point is subsequently selected for expensive evaluation for each of the P centers, with simultaneous computation on P processors. Centers that previously did not generate good solutions are tabu with a given tenure. We show almost sure convergence of this algorithm under some conditions. The performance of SOP is compared with two RBF based methods. The test results show that SOP is an efficient method that can reduce time required to find a good near optimal solution. In a number of cases the efficiency of SOP is so good that SOP with 8 processors found an accurate answer in less wall-clock time than the other algorithms did with 32 processors.

Efficiency in Managing the Environment and the Opportunity Cost of Pollution Abatement

Using the directional distance function we study a cross section of 110 countries to examine the efficiency of management of the tradeoffs between pollution and income. The DEA model is reformulated to permit 'reverse disposability' of the bad output. Further, we interpret the optimal solution of the multiplier form of the DEA model as an iso-inefficiency line. This permits us to measure the shadow cost of the bad output for a country that is in the interior, rather than on the frontier of the production possibilities set. We also compare the relative environmental performance of countries in terms of emission intensity adjusted for technical efficiency. Only 10% of the countries are found to be on the frontier. Also, there is considerable inter-country variation in the imputed opportunity cost of CO2 reduction. Further, differences in technical efficiency contribute substantially to differences in the observed levels of CO2 intensity.

Optical systems design using the SMS method and optimizations

Resumen El diseño de sistemas ópticos, entendido como un arte por algunos, como una ciencia por otros, se ha realizado durante siglos. Desde los egipcios hasta nuestros días los sistemas de formación de imagen han ido evolucionando así como las técnicas de diseño asociadas. Sin embargo ha sido en los últimos 50 años cuando las técnicas de diseño han experimentado su mayor desarrollo y evolución, debido, en parte, a la aparición de nuevas técnicas de fabricación y al desarrollo de ordenadores cada vez más potentes que han permitido el cálculo y análisis del trazado de rayos a través de los sistemas ópticos de forma rápida y eficiente. Esto ha propiciado que el diseño de sistemas ópticos evolucione desde los diseños desarrollados únicamente a partir de la óptica paraxial hasta lo modernos diseños realizados mediante la utilización de diferentes técnicas de optimización multiparamétrica. El principal problema con el que se encuentra el diseñador es que las diferentes técnicas de optimización necesitan partir de un diseño inicial el cual puede fijar las posibles soluciones. Dicho de otra forma, si el punto de inicio está lejos del mínimo global, o diseño óptimo para las condiciones establecidas, el diseño final puede ser un mínimo local cerca del punto de inicio y lejos del mínimo global. Este tipo de problemática ha llevado al desarrollo de sistemas globales de optimización que cada vez sean menos sensibles al punto de inicio de la optimización. Aunque si bien es cierto que es posible obtener buenos diseños a partir de este tipo de técnicas, se requiere de muchos intentos hasta llegar a la solución deseada, habiendo un entorno de incertidumbre durante todo el proceso, puesto que no está asegurado el que se llegue a la solución óptima. El método de las Superficies Múltiples Simultaneas (SMS), que nació como una herramienta de cálculo de concentradores anidólicos, se ha demostrado como una herramienta también capaz utilizarse para el diseño de sistemas ópticos formadores de imagen, aunque hasta la fecha se ha utilizado para el diseño puntual de sistemas de formación de imagen. Esta tesis tiene por objeto presentar el SMS como un método que puede ser utilizado de forma general para el diseño de cualquier sistema óptico de focal fija o v afocal con un aumento definido así como una herramienta que puede industrializarse para ayudar al diseñador a afrontar de forma sencilla el diseño de sistemas ópticos complejos. Esta tesis está estructurada en cinco capítulos: El capítulo 1, es un capítulo de fundamentos donde se presentan los conceptos fundamentales necesarios para que el lector, aunque no posea una gran base en óptica formadora de imagen, pueda entender los planteamientos y resultados que se presentan en el resto de capítulos El capitulo 2 aborda el problema de la optimización de sistemas ópticos, donde se presenta el método SMS como una herramienta idónea para obtener un punto de partida para el proceso de optimización. Mediante un ejemplo aplicado se demuestra la importancia del punto de partida utilizado en la solución final encontrada. Además en este capítulo se presentan diferentes técnicas que permiten la interpolación y optimización de las superficies obtenidas a partir de la aplicación del SMS. Aunque en esta tesis se trabajará únicamente utilizando el SMS2D, se presenta además un método para la interpolación y optimización de las nubes de puntos obtenidas a partir del SMS3D basado en funciones de base radial (RBF). En el capítulo 3 se presenta el diseño, fabricación y medidas de un objetivo catadióptrico panorámico diseñado para trabajar en la banda del infrarrojo lejano (8-12 μm) para aplicaciones de vigilancia perimetral. El objetivo presentado se diseña utilizando el método SMS para tres frentes de onda de entrada utilizando cuatro superficies. La potencia del método de diseño utilizado se hace evidente en la sencillez con la que este complejo sistema se diseña. Las imágenes presentadas demuestran cómo el prototipo desarrollado cumple a la perfección su propósito. El capítulo 4 aborda el problema del diseño de sistemas ópticos ultra compactos, se introduce el concepto de sistemas multicanal, como aquellos sistemas ópticos compuestos por una serie de canales que trabajan en paralelo. Este tipo de sistemas resultan particularmente idóneos para él diseño de sistemas afocales. Se presentan estrategias de diseño para sistemas multicanal tanto monocromáticos como policromáticos. Utilizando la novedosa técnica de diseño que en este capítulo se presenta el diseño de un telescopio de seis aumentos y medio. En el capítulo 5 se presenta una generalización del método SMS para rayos meridianos. En este capítulo se presenta el algoritmo que debe utilizarse para el diseño de cualquier sistema óptico de focal fija. La denominada optimización fase 1 se vi introduce en el algoritmo presentado de forma que mediante el cambio de las condiciones iníciales del diseño SMS que, aunque el diseño se realice para rayos meridianos, los rayos skew tengan un comportamiento similar. Para probar la potencia del algoritmo desarrollado se presenta un conjunto de diseños con diferente número de superficies. La estabilidad y potencia del algoritmo se hace evidente al conseguirse por primera vez el diseño de un sistema de seis superficies diseñado por SMS. vii Abstract The design of optical systems, considered an art by some and a science by others, has been developed for centuries. Imaging optical systems have been evolving since Ancient Egyptian times, as have design techniques. Nevertheless, the most important developments in design techniques have taken place over the past 50 years, in part due to the advances in manufacturing techniques and the development of increasingly powerful computers, which have enabled the fast and efficient calculation and analysis of ray tracing through optical systems. This has led to the design of optical systems evolving from designs developed solely from paraxial optics to modern designs created by using different multiparametric optimization techniques. The main problem the designer faces is that the different optimization techniques require an initial design which can set possible solutions as a starting point. In other words, if the starting point is far from the global minimum or optimal design for the set conditions, the final design may be a local minimum close to the starting point and far from the global minimum. This type of problem has led to the development of global optimization systems which are increasingly less sensitive to the starting point of the optimization process. Even though it is possible to obtain good designs from these types of techniques, many attempts are necessary to reach the desired solution. This is because of the uncertain environment due to the fact that there is no guarantee that the optimal solution will be obtained. The Simultaneous Multiple Surfaces (SMS) method, designed as a tool to calculate anidolic concentrators, has also proved useful for the design of image-forming optical systems, although until now it has occasionally been used for the design of imaging systems. This thesis aims to present the SMS method as a technique that can be used in general for the design of any optical system, whether with a fixed focal or an afocal with a defined magnification, and also as a tool that can be commercialized to help designers in the design of complex optical systems. The thesis is divided into five chapters. Chapter 1 establishes the basics by presenting the fundamental concepts which the reader needs to acquire, even if he/she doesn‟t have extensive knowledge in the field viii of image-forming optics, in order to understand the steps taken and the results obtained in the following chapters. Chapter 2 addresses the problem of optimizing optical systems. Here the SMS method is presented as an ideal tool to obtain a starting point for the optimization process. The importance of the starting point for the final solution is demonstrated through an example. Additionally, this chapter introduces various techniques for the interpolation and optimization of the surfaces obtained through the application of the SMS method. Even though in this thesis only the SMS2D method is used, we present a method for the interpolation and optimization of clouds of points obtained though the SMS3D method, based on radial basis functions (RBF). Chapter 3 presents the design, manufacturing and measurement processes of a catadioptric panoramic lens designed to work in the Long Wavelength Infrared (LWIR) (8-12 microns) for perimeter surveillance applications. The lens presented is designed by using the SMS method for three input wavefronts using four surfaces. The powerfulness of the design method used is revealed through the ease with which this complex system is designed. The images presented show how the prototype perfectly fulfills its purpose. Chapter 4 addresses the problem of designing ultra-compact optical systems. The concept of multi-channel systems, such as optical systems composed of a series of channels that work in parallel, is introduced. Such systems are especially suitable for the design of afocal systems. We present design strategies for multichannel systems, both monochromatic and polychromatic. A telescope designed with a magnification of six-and-a-half through the innovative technique exposed in this chapter is presented. Chapter 5 presents a generalization of the SMS method for meridian rays. The algorithm to be used for the design of any fixed focal optics is revealed. The optimization known as phase 1 optimization is inserted into the algorithm so that, by changing the initial conditions of the SMS design, the skew rays have a similar behavior, despite the design being carried out for meridian rays. To test the power of the developed algorithm, a set of designs with a different number of surfaces is presented. The stability and strength of the algorithm become apparent when the first design of a system with six surfaces if obtained through the SMS method.

Dynamic Response Optimization of Vehicles through Efficient Multibody Formulations and Automatic Differentiation Techniques

El diseño y desarrollo de sistemas de suspensión para vehículos se basa cada día más en el diseño por ordenador y en herramientas de análisis por ordenador, las cuales permiten anticipar problemas y resolverlos por adelantado. El comportamiento y las características dinámicas se calculan con precisión, bajo coste, y recursos y tiempos de cálculo reducidos. Sin embargo, existe una componente iterativa en el proceso, que requiere la definición manual de diseños a través de técnicas “prueba y error”. Esta Tesis da un paso hacia el desarrollo de un entorno de simulación eficiente capaz de simular, analizar y evaluar diseños de suspensiones vehiculares, y de mejorarlos hacia la solución optima mediante la modificación de los parámetros de diseño. La modelización mediante sistemas multicuerpo se utiliza aquí para desarrollar un modelo de autocar con 18 grados de libertad, de manera detallada y eficiente. La geometría y demás características de la suspensión se ajustan a las del vehículo real, así como los demás parámetros del modelo. Para simular la dinámica vehicular, se utiliza una formulación multicuerpo moderna y eficiente basada en las ecuaciones de Maggi, a la que se ha incorporado un visor 3D. Así, se consigue simular maniobras vehiculares en tiempos inferiores al tiempo real. Una vez que la dinámica está disponible, los análisis de sensibilidad son cruciales para una optimización robusta y eficiente. Para ello, se presenta una técnica matemática que permite derivar las variables dinámicas dentro de la formulación, de forma algorítmica, general, con la precisión de la maquina, y razonablemente eficiente: la diferenciación automática. Este método propaga las derivadas con respecto a las variables de diseño a través del código informático y con poca intervención del usuario. En contraste con otros enfoques en la bibliografía, generalmente particulares y limitados, se realiza una comparación de librerías, se desarrolla una formulación híbrida directa-automática para el cálculo de sensibilidades, y se presentan varios ejemplos reales. Finalmente, se lleva a cabo la optimización de la respuesta dinámica del vehículo citado. Se analizan cuatro tipos distintos de optimización: identificación de parámetros, optimización de la maniobrabilidad, optimización del confort y optimización multi-objetivo, todos ellos aplicados al diseño del autocar. Además de resultados analíticos y gráficos, se incluyen algunas consideraciones acerca de la eficiencia. En resumen, se mejora el comportamiento dinámico de vehículos por medio de modelos multicuerpo y de técnicas de diferenciación automática y optimización avanzadas, posibilitando un ajuste automático, preciso y eficiente de los parámetros de diseño. ABSTRACT Each day, the design and development of vehicle suspension systems relies more on computer-aided design and computer-aided engineering tools, which allow anticipating the problems and solving them ahead of time. Dynamic behavior and characteristics are thus simulated accurately and inexpensively with moderate computational times and resources. There is, however, an iterative component in the process, which involves the manual definition of designs in a trialand-error manner. This Thesis takes a step towards the development of an efficient simulation framework capable of simulating, analyzing and evaluating vehicle suspension designs, and automatically improving them by varying the design parameters towards the optimal solution. The multibody systems approach is hereby used to model a three-dimensional 18-degrees-of-freedom coach in a comprehensive yet efficient way. The suspension geometry and characteristics resemble the ones from the real vehicle, as do the rest of vehicle parameters. In order to simulate vehicle dynamics, an efficient, state-of-the-art multibody formulation based on Maggi’s equations is employed, and a three-dimensional graphics viewer is developed. As a result, vehicle maneuvers can be simulated faster than real-time. Once the dynamics are ready, a sensitivity analysis is crucial for a robust optimization. To that end, a mathematical technique is introduced, which allows differentiating the dynamic variables within the multibody formulation in a general, algorithmic, accurate to machine precision, and reasonably efficient way: automatic differentiation. This method propagates the derivatives with respect to the design parameters throughout the computer code, with little user interaction. In contrast with other attempts in the literature, mostly not generalpurpose, a benchmarking of libraries is carried out, a hybrid direct-automatic differentiation approach for the computation of sensitivities is developed, and several real-life examples are analyzed. Finally, a design optimization process of the aforementioned vehicle is carried out. Four different types of dynamic response optimization are presented: parameter identification, handling optimization, ride comfort optimization and multi-objective optimization; all of which are applied to the design of the coach example. Together with analytical and visual proof of the results, efficiency considerations are made. In summary, the dynamic behavior of vehicles is improved by using the multibody systems approach, along with advanced differentiation and optimization techniques, enabling an automatic, accurate and efficient tuning of design parameters.

A scalable evolvable hardware processing array

Evolvable hardware (EH) is an interesting alternative to conventional digital circuit design, since autonomous generation of solutions for a given task permits self-adaptivity of the system to changing environments, and they present inherent fault tolerance when evolution is intrinsically performed. Systems based on FPGAs that use Dynamic and Partial Reconfiguration (DPR) for evolving the circuit are an example. Also, thanks to DPR, these systems can be provided with scalability, a feature that allows a system to change the number of allocated resources at run-time in order to vary some feature, such as performance. The combination of both aspects leads to scalable evolvable hardware (SEH), which changes in size as an extra degree of freedom when trying to achieve the optimal solution by means of evolution. The main contributions of this paper are an architecture of a scalable and evolvable hardware processing array system, some preliminary evolution strategies which take scalability into consideration, and to show in the experimental results the benefits of combined evolution and scalability. A digital image filtering application is used as use case.

Managing daily surgery schedules in a teaching hospital: a mixed-integer optimization approach

Background: This study examined the daily surgical scheduling problem in a teaching hospital. This problem relates to the use of multiple operating rooms and different types of surgeons in a typical surgical day with deterministic operation durations (preincision, incision, and postincision times). Teaching hospitals play a key role in the health-care system; however, existing models assume that the duration of surgery is independent of the surgeon's skills. This problem has not been properly addressed in other studies. We analyze the case of a Spanish public hospital, in which continuous pressures and budgeting reductions entail the more efficient use of resources. Methods: To obtain an optimal solution for this problem, we developed a mixed-integer programming model and user-friendly interface that facilitate the scheduling of planned operations for the following surgical day. We also implemented a simulation model to assist the evaluation of different dispatching policies for surgeries and surgeons. The typical aspects we took into account were the type of surgeon, potential overtime, idling time of surgeons, and the use of operating rooms. Results: It is necessary to consider the expertise of a given surgeon when formulating a schedule: such skill can decrease the probability of delays that could affect subsequent surgeries or cause cancellation of the final surgery. We obtained optimal solutions for a set of given instances, which we obtained through surgical information related to acceptable times collected from a Spanish public hospital. Conclusions: We developed a computer-aided framework with a user-friendly interface for use by a surgical manager that presents a 3-D simulation of the problem. Additionally, we obtained an efficient formulation for this complex problem. However, the spread of this kind of operation research in Spanish public health hospitals will take a long time since there is a lack of knowledge of the beneficial techniques and possibilities that operational research can offer for the health-care system.

Herramientas de gestión de compromiso para trabajadores del conocimiento

El objetivo de la línea de investigación seguida en esta tesis consiste en identificar palancas de gestión de las personas en las organizaciones que permitan mejorar su rendimiento mediante la gestión del compromiso de los profesionales de las organizaciones inmersas en la denominada sociedad del conocimiento. Para identificar dichas palancas se analizan algunos de los factores que, según la literatura científica, tienen como consecuencia cambios en la productividad, como son el compromiso organizacional y las conductas cívicas dentro de la organización. También, por su actualidad y relevancia en las prácticas de gestión de recursos humanos, se han analizado el impacto que tienen en estos factores en las prácticas empresariales que permiten conciliar vida profesional y personal el efecto del género en las distintas variables analizadas. Por todo lo anterior, en la investigación se analizan algunos de los factores de carácter psicosocial que promueven el compromiso en una organización, y se profundiza en dos conceptos: el análisis del compromiso de los profesionales con la organización para la que trabajan, y los comportamientos de ciudadanía organizativa que se exhiben en la organización por sus miembros. Para ello, se realiza un encuadramiento teórico de los siguientes conceptos: el compromiso como eje del trabajo; la ciudadanía organizativa como modelo cultural de la organización que promueve el compromiso; el rol de los líderes; los efectos de las políticas de conciliación; las diferencias de percepciones derivadas del género y un sistema de revisión de retributiva eficiente y coherente con el marco conceptual planteado. La metodología seleccionada para este trabajo ha sido el análisis en profundidad del caso de una empresa española, Red Eléctrica de España a través de tres pilares básicos: el primero consiste en el análisis exhaustivo de los datos obtenidos en las dos encuestas de clima social que dicha empresa realizó en el período 2006-2009; el segundo se centra en el desarrollo de un modelo matemático para el cálculo eficiente de recompensas salariales a través de un modelo de optimización; y el tercero es la consecuencia del conocimiento profundo que el autor tiene de la propia empresa, su cultura y funcionamiento, fruto de su experiencia profesional como directivo en el área de desarrollo de recursos humanos, función que desempeñó en la organización durante nueve años. En el análisis de este caso se ha investigado la influencia del género en el compromiso y la ciudadanía organizativa de los empleados de dicha organización, para identificar las diferencias de percepción que puedan ser explicadas por el género en una empresa muy masculina como es aquella. También, se ha incluido en este estudio de caso el análisis del efecto que presentan las medidas de conciliación en el compromiso de los empleados, por la relevancia que tiene este asunto en el panorama laboral español actual. Este análisis permite conocer hasta qué punto son o no motivadoras estas medidas en la organización analizada y, como consecuencia de ello, el tipo de gestión más oportuna de las mismas para conseguir no sólo los fines sociales que pretenden, garantizar que los empleados puedan compatibilizar sus exigencias laborales con una vida personal adecuada, sino también mejorar el clima, productividad y compromiso de éstos con la empresa. Para completar este análisis del caso, se han identificado de forma analítica los factores que mejor explican el clima de la organización y se ha concluido el papel central de la dirección que se concreta en la actuación de cada jefe, como motor del clima social en el equipo que dirige. Dado que la tesis pivota sobre el papel relevante que tiene la generación de una cultura de ciudadanía organizativa, se ha complementado el análisis con el desarrollo una herramienta de cálculo que facilita la determinación de los incrementos de la retribución fija de acuerdo con los principios de transparencia, equidad y justicia acordes con el modelo de empresa que promueve la virtud cívica de las personas empleadas en ella. Para ello se ha desarrollado un nuevo método de cálculo del incremento de retribución fija mediante un modelo analítico innovador y compacto de programación lineal entera mixta. Este modelo permite a las organizaciones realizar diseños de política retributiva de forma sencilla y rápida, a la vez que facilita la transparencia de las mismas en el proceso de gestión de la compensación. No se ha abordado el asunto de la determinación de la retribución variable, por ser un asunto relativamente menos complejo y profusamente tratado en la práctica directiva de las empresas. La primera de las conclusiones de la investigación realizada se refiere a los aspectos de la cultura organizativa que pueden identificarse como motores del compromiso. Se concluye que en el caso de estudio hay una fuerte relación mutua entre los rasgos que definen el compromiso emocional y los rasgos que determinan un comportamiento caracterizado como de ciudadanía organizativa. Se ha encontrado una correlación significativa y alta entre indicadores de compromiso y factores que recogen comportamientos de ciudadanía organizativa, correlación muy notable tanto para los factores de compromiso racional como para los de compromiso emocional. También se ha evidenciado que la correlación entre compromiso emocional y rasgos de comportamientos de ciudadanía organizacional es mayor que la que aparece entre compromiso racional y rasgos de comportamientos de ciudadanía organizacional. Desde el punto de vista de la práctica de gestión de recursos humanos, estas relaciones indican la conveniencia de promover una cultura organizacional basada en los principios de la ciudadanía organizativa para alcanzar altos niveles de compromiso emocional de los profesionales y mejorar la eficiencia organizativa. La segunda de las conclusiones se refiere al efecto de las políticas de conciliación en las organizaciones. Sobre este asunto se concluye que en el caso de estudio no puede considerarse que las medidas de conciliación tengan una fuerte relación con el compromiso emocional, y menos que puedan considerarse directamente una herramienta de generación de compromiso emocional. Sin embargo, sí que se detecta una cierta relación entre las percepciones de conciliación y de compromiso con la organización, y sobre todo, con el compromiso racional con la organización, que puede tener que ver con que para los empleados de la organización analizada, las medidas de conciliación son consideradas como una parte más de las condiciones laborales que ofrece la organización a los trabajadores. La tercera conclusión se refiere a la relación entre el género de los trabajadores y su nivel de compromiso y de ciudadanía organizativa. En el caso de estudio no se identifica una relación entre el género y el nivel de compromiso de los profesionales ni tampoco con la percepción de ciudadanía organizativa, variando la situación del período 2006 al período 2009. La cuarta conclusión se refiere al impacto que la actuación de los líderes (jefes) tiene en el clima social. En el caso de estudio, la actuación de los directivos y el nivel de compromiso que genera en los profesionales explica por sí sola más de un tercio de la varianza del clima organizativo, entendido como tal el que refleja el conjunto global de preguntas que constituyen la encuesta de clima del caso de estudio. Del análisis realizado se concluye que en el caso de estudio la percepción que los empleados tienen de sus jefes tiene un efecto relevante sobre el resto de percepciones de compromiso, ciudadanía organizativa y otros factores que conforman el clima social de la organización. La quinta y última conclusión supone la aportación de un modelo novedoso de cálculo de la recompensa económica coherente con un modelo de gestión empresarial mediante una cultura de ciudadanía organizativa. La solución que obtiene este modelo es el incremento salarial individual de cada profesional, que tiene en cuenta su rendimiento, posicionamiento salarial y encuadramiento profesional. Además de las restricciones presupuestarias, se consideran los principios de transparencia, equidad y justicia coherentes con el modelo conceptual planteado. La principal contribución de este trabajo es la formulación matemática de los criterios cualitativos que se emplean habitualmente en el proceso de revisión salarial. El método planteado supone una innovación que permite automatizar la metodología tradicional de gestión de incrementos salariales basados en matrices de incremento, así como evitar la aplicación de limitaciones en las valoraciones de desempeño derivadas de las restricciones presupuestarias que toda organización tiene. De esta manera se puede disponer de un mecanismo de revisión salarial que tiene en cuenta el desempeño de los profesionales, pero que permite la gestión “desacoplada” de la evaluación de rendimiento y la actualización de la retribución fija. ABSTRACT The aim of the research pursued in this thesis is to identify some human resources management levers in organizations to improve their performance through individual’s commitment management, focusing in organizations immersed in the so-called knowledge society. In order to find out these levers, the author analysed some of the psychosocial factors that promote engagement to the organizations and, according to the scientific literature, have effects in their productivity. These factors analysed are organisational commitment and citizenship behaviours. Additionally, the investigation also focuses on work-life balance policies and gender considerations, because of their relevance and topicality for the human resources’ policies. In the light of this, the investigation focuses on some of the psychosocial factors that promote organisational commitment, and delves into two concepts: the analysis of the commitment of professionals to the organization for which they work, and the organizational citizenship behaviours exhibited in the organization by its members. For this, a theoretical framework is performed for the following items: the professional’s commitment which is the pillar of this work; the organisational citizenship as a cultural model to promote that commitment; the role of the leaders; the effects of the work-life balance policies; the different perceptions of the professionals because of their gender; and an efficient salary review system, which is coherent with the conceptual framework set. The methodology selected for this work was the analysis in depth of the case of a Spanish company, Red Eléctrica de España, through three basic subjects: the first consists of a thorough analysis of the data obtained in the two work climate surveys made by this company in 2006 and 2009; the second focuses on the development of a mathematical model for calculating efficient salary reviews through an optimization model; and the third is the result of the author’s deep understanding of the company, its culture and its performance because of his professional experience as a manager in the area of human resource development, which was his role in the organization for nine years. The author investigated in the analysis of this case about the influence of gender on the employees’ organizational commitment and citizenship behaviours, in order to find out perception differences that can be explained by the highly masculine organisational culture such Red Eléctrica de España had during the studied period. Additionally, because of the importance of the work-life balance promotion in the Spanish labour scene, the case study analysis includes their effect in the employees’ commitment. This analysis allows to know motivating are these measures in the studied organization and, as a result, the most appropriate type of management thereof for social purposes, not only intended to ensure that employees can balance their work and personal demands, but also improving the work climate, the productivity and the organisational commitment. The investigation identifies the factors which best explain the work climate of the organization and concludes the central role of the leadership, embodied in the performance of every manager, to boost the work climate in their teams. Since this thesis pivots on the important role the generation of a culture of organizational citizenship has, the investigation has been complemented with the development of a analytic tool that facilitates the calculation of the salary review increments according to the principles of transparency, equity and justice in line with a work culture that promotes organisational citizenship behaviours. For this, this works develops a new method for calculating fixed salary increases through an innovative and compact mixed integer linear programming model. This model enables organizations to design compensation policies easily and quickly, and facilitates the transparency of the compensation management system. The method for determining variable remuneration has not been addressed because it is relatively less complex issue and widely discussed. The first conclusion of the conducted investigation concerns aspects of organizational culture that could be identified as commitment drivers. In the case study exists a strong and mutual relationship between the characteristics defining the emotional commitment and the organisational citizenship behaviours. The investigation has found out a meaningful and high correlation between indicators of commitment and the factors collecting organizational citizenship behaviour. This correlation with organisational citizenship is remarkable for both, rational and emotional, commitment. The correlation between organizational citizenship behaviours and emotional commitment and is greater than the one with rational commitment. From the practitioner point of view, these relationships show the importance of promoting an organizational culture based on the principles of organizational citizenship to achieve high levels of emotional engagement of professionals and improve organizational efficiency. The second conclusion relates to the effect of work-life balance policies in organizations. On this matter, the investigation concludes that for the case study, work-life balance measures do not have a strong relationship with the emotional commitment, and unless they can be usually considered as a tool to improve employees’ emotional commitment. However, a certain relationship between perceptions of work-life facilities and organisational commitment exists, especially with the rational commitment to the organization. This relationship appears because for employees of the analysed organization, work-life balance measures could be considered as a part of working conditions offered to them by the organization. The third conclusion concerns the relationship between the gender of workers and their level of commitment and organizational citizenship. In this case study, there is not any relationship between gender and the professional’s commitment level nor the perception of organizational citizenship; and the situation varies during the period studied. The fourth conclusion refers to the impact that the actions of the leaders have on the work climate. In the case study, the performance of management and the level of commitment generated, explains more than a third of the variance of work climate - understood as such reflecting the overall set of questions that constitute the work climate survey -. The analysis concludes that in the case study perception that employees have of their leaders has a significant effect on the rest of perceptions of commitment, organizational citizenship and other factors making the work climate of the organization. The fifth and last conclusion represents the contribution of a new model for calculating the salary increment, coherent with a corporate citizenship management culture. The solution obtained from this model consists of salary increases for each employee; these increases consider the employee’s professional performance, salary level relative to peers within the organization, and professional group. In addition to budget constraints, we modelled other elements typical of compensation systems, such as equity and justice. The major contribution of this work is the mathematical formulation of the criteria that are typically the basis for salary management. The compact formulation and the ease of obtaining the optimal solution facilitate its use in large companies that maintain very high levels of homogeneity across employees. Designing different strategies for specific groups within a company is also possible. A major benefit of this method is that it allows a company to independently manage its salary and assessment policies. Because obtaining salary-revision matrices without using the mathematical model we present in this paper is typically done iteratively by tuning previously defined matrices, managers commonly tune values for assessing employee performance to ensure that salary increases and performance assessments are consistent; however, this distorts the evaluation process and decreases employee motivation. In this MILP model, employee performance is only one parameter of several input parameters used in designing a salary policy that is independent of the results of performance-assessment values.

Aplicação de métodos computacionais multidisciplinares de engenharia para otimização de carteiras de investimentos.

Este trabalho apresenta uma nova metodologia para otimizar carteiras de ativos financeiros. A metodologia proposta, baseada em interpoladores universais tais quais as Redes Neurais Artificiais e a Krigagem, permite aproximar a superfície de risco e consequentemente a solução do problema de otimização associado a ela de forma generalizada e aplicável a qualquer medida de risco disponível na literatura. Além disto, a metodologia sugerida permite que sejam relaxadas hipóteses restritivas inerentes às metodologias existentes, simplificando o problema de otimização e permitindo que sejam estimados os erros na aproximação da superfície de risco. Ilustrativamente, aplica-se a metodologia proposta ao problema de composição de carteiras com a Variância (controle), o Valor-em-Risco (VaR) e o Valor-em-Risco Condicional (CVaR) como funções objetivo. Os resultados são comparados àqueles obtidos pelos modelos de Markowitz e Rockafellar, respectivamente.

On stable uniqueness in linear semi-infinite optimization

This paper is intended to provide conditions for the stability of the strong uniqueness of the optimal solution of a given linear semi-infinite optimization (LSIO) problem, in the sense of maintaining the strong uniqueness property under sufficiently small perturbations of all the data. We consider LSIO problems such that the family of gradients of all the constraints is unbounded, extending earlier results of Nürnberger for continuous LSIO problems, and of Helbig and Todorov for LSIO problems with bounded set of gradients. To do this we characterize the absolutely (affinely) stable problems, i.e., those LSIO problems whose feasible set (its affine hull, respectively) remains constant under sufficiently small perturbations.

Calmness modulus of linear semi-infinite programs

Our main goal is to compute or estimate the calmness modulus of the argmin mapping of linear semi-infinite optimization problems under canonical perturbations, i.e., perturbations of the objective function together with continuous perturbations of the right-hand side of the constraint system (with respect to an index ranging in a compact Hausdorff space). Specifically, we provide a lower bound on the calmness modulus for semi-infinite programs with unique optimal solution which turns out to be the exact modulus when the problem is finitely constrained. The relationship between the calmness of the argmin mapping and the same property for the (sub)level set mapping (with respect to the objective function), for semi-infinite programs and without requiring the uniqueness of the nominal solution, is explored, too, providing an upper bound on the calmness modulus of the argmin mapping. When confined to finitely constrained problems, we also provide a computable upper bound as it only relies on the nominal data and parameters, not involving elements in a neighborhood. Illustrative examples are provided.

Mathematical programming model for heat exchanger design through optimization of partial objectives

Mathematical programming can be used for the optimal design of shell-and-tube heat exchangers (STHEs). This paper proposes a mixed integer non-linear programming (MINLP) model for the design of STHEs, following rigorously the standards of the Tubular Exchanger Manufacturers Association (TEMA). Bell–Delaware Method is used for the shell-side calculations. This approach produces a large and non-convex model that cannot be solved to global optimality with the current state of the art solvers. Notwithstanding, it is proposed to perform a sequential optimization approach of partial objective targets through the division of the problem into sets of related equations that are easier to solve. For each one of these problems a heuristic objective function is selected based on the physical behavior of the problem. The global optimal solution of the original problem cannot be ensured even in the case in which each of the sub-problems is solved to global optimality, but at least a very good solution is always guaranteed. Three cases extracted from the literature were studied. The results showed that in all cases the values obtained using the proposed MINLP model containing multiple objective functions improved the values presented in the literature.

Simultaneous environmental and economic process synthesis of Isobutane Alkylation

This multidisciplinary study concerns the optimal design of processes with a view to both maximizing profit and minimizing environmental impacts. This can be achieved by a combination of traditional chemical process design methods, measurements of environmental impacts and advanced mathematical optimization techniques. More to the point, this paper presents a hybrid simulation-multiobjective optimization approach that at once optimizes the production cost and minimizes the associated environmental impacts of isobutane alkylation. This approach has also made it possible to obtain the flowsheet configurations and process variables that are needed to manufacture isooctane in a way that satisfies the above-stated double aim. The problem is formulated as a Generalized Disjunctive Programming problem and solved using state-of-the-art logic-based algorithms. It is shown, starting from existing alternatives for the process, that it is possible to systematically generate a superstructure that includes alternatives not previously considered. The optimal solution, in the form a Pareto curve, includes different structural alternatives from which the most suitable design can be selected. To evaluate the environmental impact, Life Cycle Assessment based on two different indicators is employed: Ecoindicator 99 and Global Warming Potential.

Generation of representation models for complex systems using Lagrangian functions

In this article, a new methodology is presented to obtain representation models for a priori relation z = u(x1, x2, . . . ,xn) (1), with a known an experimental dataset zi; x1i ; x2i ; x3i ; . . . ; xni i=1;2;...;p· In this methodology, a potential energy is initially defined over each possible model for the relationship (1), what allows the application of the Lagrangian mechanics to the derived system. The solution of the Euler–Lagrange in this system allows obtaining the optimal solution according to the minimal action principle. The defined Lagrangian, corresponds to a continuous medium, where a n-dimensional finite elements model has been applied, so it is possible to get a solution for the problem solving a compatible and determined linear symmetric equation system. The computational implementation of the methodology has resulted in an improvement in the process of get representation models obtained and published previously by the authors.

An authoring tool for decision support systems in context questions of ecological knowledge

Decision support systems (DSS) support business or organizational decision-making activities, which require the access to information that is internally stored in databases or data warehouses, and externally in the Web accessed by Information Retrieval (IR) or Question Answering (QA) systems. Graphical interfaces to query these sources of information ease to constrain dynamically query formulation based on user selections, but they present a lack of flexibility in query formulation, since the expressivity power is reduced to the user interface design. Natural language interfaces (NLI) are expected as the optimal solution. However, especially for non-expert users, a real natural communication is the most difficult to realize effectively. In this paper, we propose an NLI that improves the interaction between the user and the DSS by means of referencing previous questions or their answers (i.e. anaphora such as the pronoun reference in “What traits are affected by them?”), or by eliding parts of the question (i.e. ellipsis such as “And to glume colour?” after the question “Tell me the QTLs related to awn colour in wheat”). Moreover, in order to overcome one of the main problems of NLIs about the difficulty to adapt an NLI to a new domain, our proposal is based on ontologies that are obtained semi-automatically from a framework that allows the integration of internal and external, structured and unstructured information. Therefore, our proposal can interface with databases, data warehouses, QA and IR systems. Because of the high NL ambiguity of the resolution process, our proposal is presented as an authoring tool that helps the user to query efficiently in natural language. Finally, our proposal is tested on a DSS case scenario about Biotechnology and Agriculture, whose knowledge base is the CEREALAB database as internal structured data, and the Web (e.g. PubMed) as external unstructured information.

Genetic algorithms with applications in wireless communications

Genetic algorithms (GAs) are known to locate the global optimal solution provided sufficient population and/or generation is used. Practically, a near-optimal satisfactory result can be found by Gas with a limited number of generations. In wireless communications, the exhaustive searching approach is widely applied to many techniques, such as maximum likelihood decoding (MLD) and distance spectrum (DS) techniques. The complexity of the exhaustive searching approach in the MLD or the DS technique is exponential in the number of transmit antennas and the size of the signal constellation for the multiple-input multiple-output (MIMO) communication systems. If a large number of antennas and a large size of signal constellations, e.g. PSK and QAM, are employed in the MIMO systems, the exhaustive searching approach becomes impractical and time consuming. In this paper, the GAs are applied to the MLD and DS techniques to provide a near-optimal performance with a reduced computational complexity for the MIMO systems. Two different GA-based efficient searching approaches are proposed for the MLD and DS techniques, respectively. The first proposed approach is based on a GA with sharing function method, which is employed to locate the multiple solutions of the distance spectrum for the Space-time Trellis Coded Orthogonal Frequency Division Multiplexing (STTC-OFDM) systems. The second approach is the GA-based MLD that attempts to find the closest point to the transmitted signal. The proposed approach can return a satisfactory result with a good initial signal vector provided to the GA. Through simulation results, it is shown that the proposed GA-based efficient searching approaches can achieve near-optimal performance, but with a lower searching complexity comparing with the original MLD and DS techniques for the MIMO systems.