Cash balance management: A comparison between genetic algorithms and particle swarm optimization

This work aimed to apply genetic algorithms (GA) and particle swarm optimization (PSO) in cash balance management using Miller-Orr model, which consists in a stochastic model that does not define a single ideal point for cash balance, but an oscillation range between a lower bound, an ideal balance and an upper bound. Thus, this paper proposes the application of GA and PSO to minimize the Total Cost of cash maintenance, obtaining the parameter of the lower bound of the Miller-Orr model, using for this the assumptions presented in literature. Computational experiments were applied in the development and validation of the models. The results indicated that both the GA and PSO are applicable in determining the cash level from the lower limit, with best results of PSO model, which had not yet been applied in this type of problem.

Non-Dominated Sorting Genetic Algorithm Based on Reinforcement Learning to Optimization of Broad-Band Reflector Antennas Satellite

This paper aims to provide an improved NSGA-II (Non-Dominated Sorting Genetic Algorithm-version II) which incorporates a parameter-free self-tuning approach by reinforcement learning technique, called Non-Dominated Sorting Genetic Algorithm Based on Reinforcement Learning (NSGA-RL). The proposed method is particularly compared with the classical NSGA-II when applied to a satellite coverage problem. Furthermore, not only the optimization results are compared with results obtained by other multiobjective optimization methods, but also guarantee the advantage of no time-spending and complex parameter tuning.

Modeling and simulation of a synthetic genetic circuit that implements a multicelled behavior in a growing microcolony of E. coli

Synthetic Biology is a relatively new discipline, born at the beginning of the New Millennium, that brings the typical engineering approach (abstraction, modularity and standardization) to biotechnology. These principles aim to tame the extreme complexity of the various components and aid the construction of artificial biological systems with specific functions, usually by means of synthetic genetic circuits implemented in bacteria or simple eukaryotes like yeast. The cell becomes a programmable machine and its low-level programming language is made of strings of DNA. This work was performed in collaboration with researchers of the Department of Electrical Engineering of the University of Washington in Seattle and also with a student of the Corso di Laurea Magistrale in Ingegneria Biomedica at the University of Bologna: Marilisa Cortesi. During the collaboration I contributed to a Synthetic Biology project already started in the Klavins Laboratory. In particular, I modeled and subsequently simulated a synthetic genetic circuit that was ideated for the implementation of a multicelled behavior in a growing bacterial microcolony. In the first chapter the foundations of molecular biology are introduced: structure of the nucleic acids, transcription, translation and methods to regulate gene expression. An introduction to Synthetic Biology completes the section. In the second chapter is described the synthetic genetic circuit that was conceived to make spontaneously emerge, from an isogenic microcolony of bacteria, two different groups of cells, termed leaders and followers. The circuit exploits the intrinsic stochasticity of gene expression and intercellular communication via small molecules to break the symmetry in the phenotype of the microcolony. The four modules of the circuit (coin flipper, sender, receiver and follower) and their interactions are then illustrated. In the third chapter is derived the mathematical representation of the various components of the circuit and the several simplifying assumptions are made explicit. Transcription and translation are modeled as a single step and gene expression is function of the intracellular concentration of the various transcription factors that act on the different promoters of the circuit. A list of the various parameters and a justification for their value closes the chapter. In the fourth chapter are described the main characteristics of the gro simulation environment, developed by the Self Organizing Systems Laboratory of the University of Washington. Then, a sensitivity analysis performed to pinpoint the desirable characteristics of the various genetic components is detailed. The sensitivity analysis makes use of a cost function that is based on the fraction of cells in each one of the different possible states at the end of the simulation and the wanted outcome. Thanks to a particular kind of scatter plot, the parameters are ranked. Starting from an initial condition in which all the parameters assume their nominal value, the ranking suggest which parameter to tune in order to reach the goal. Obtaining a microcolony in which almost all the cells are in the follower state and only a few in the leader state seems to be the most difficult task. A small number of leader cells struggle to produce enough signal to turn the rest of the microcolony in the follower state. It is possible to obtain a microcolony in which the majority of cells are followers by increasing as much as possible the production of signal. Reaching the goal of a microcolony that is split in half between leaders and followers is comparatively easy. The best strategy seems to be increasing slightly the production of the enzyme. To end up with a majority of leaders, instead, it is advisable to increase the basal expression of the coin flipper module. At the end of the chapter, a possible future application of the leader election circuit, the spontaneous formation of spatial patterns in a microcolony, is modeled with the finite state machine formalism. The gro simulations provide insights into the genetic components that are needed to implement the behavior. In particular, since both the examples of pattern formation rely on a local version of Leader Election, a short-range communication system is essential. Moreover, new synthetic components that allow to reliably downregulate the growth rate in specific cells without side effects need to be developed. In the appendix are listed the gro code utilized to simulate the model of the circuit, a script in the Python programming language that was used to split the simulations on a Linux cluster and the Matlab code developed to analyze the data.

Genetic diversity among horse populations with a special focus on the Franches-Montagnes breed

Genetic characterization helps to assure breed integrity and to assign individuals to defined populations. The objective of this study was to characterize genetic diversity in six horse breeds and to analyse the population structure of the Franches-Montagnes breed, especially with regard to the degree of introgression with Warmblood. A total of 402 alleles from 50 microsatellite loci were used. The average number of alleles per locus was significantly lower in Thoroughbreds and Arabians. Average heterozygosities between breeds ranged from 0.61 to 0.72. The overall average of the coefficient of gene differentiation because of breed differences was 0.100, with a range of 0.036-0.263. No significant correlation was found between this parameter and the number of alleles per locus. An increase in the number of homozygous loci with increasing inbreeding could not be shown for the Franches-Montagnes horses. The proportion of shared alleles, combined with the neighbour-joining method, defined clusters for Icelandic Horse, Comtois, Arabians and Franches-Montagnes. A more disparate clustering could be seen for European Warmbloods and Thoroughbreds, presumably from frequent grading-up of Warmbloods with Thoroughbreds. Grading-up effects were also observed when Bayesian and Monte Carlo resampling approaches were used for individual assignment to a given population. Individual breed assignments to defined reference populations will be very difficult when introgression has occurred. The Bayesian approach within the Franches-Montagnes breed differentiated individuals with varied proportions of Warmblood.

Control design and genetic algorithm optimization for electrostatic MEMS

This dissertation discusses structural-electrostatic modeling techniques, genetic algorithm based optimization and control design for electrostatic micro devices. First, an alternative modeling technique, the interpolated force model, for electrostatic micro devices is discussed. The method provides improved computational efficiency relative to a benchmark model, as well as improved accuracy for irregular electrode configurations relative to a common approximate model, the parallel plate approximation model. For the configuration most similar to two parallel plates, expected to be the best case scenario for the approximate model, both the parallel plate approximation model and the interpolated force model maintained less than 2.2% error in static deflection compared to the benchmark model. For the configuration expected to be the worst case scenario for the parallel plate approximation model, the interpolated force model maintained less than 2.9% error in static deflection while the parallel plate approximation model is incapable of handling the configuration. Second, genetic algorithm based optimization is shown to improve the design of an electrostatic micro sensor. The design space is enlarged from published design spaces to include the configuration of both sensing and actuation electrodes, material distribution, actuation voltage and other geometric dimensions. For a small population, the design was improved by approximately a factor of 6 over 15 generations to a fitness value of 3.2 fF. For a larger population seeded with the best configurations of the previous optimization, the design was improved by another 7% in 5 generations to a fitness value of 3.0 fF. Third, a learning control algorithm is presented that reduces the closing time of a radiofrequency microelectromechanical systems switch by minimizing bounce while maintaining robustness to fabrication variability. Electrostatic actuation of the plate causes pull-in with high impact velocities, which are difficult to control due to parameter variations from part to part. A single degree-of-freedom model was utilized to design a learning control algorithm that shapes the actuation voltage based on the open/closed state of the switch. Experiments on 3 test switches show that after 5-10 iterations, the learning algorithm lands the switch with an impact velocity not exceeding 0.2 m/s, eliminating bounce.

Analysis of postprandial lipemia as a Cardiovascular Disease risk factor using genetic and clinical information: an Artificial Neural Network perspective

Clinical studies indicate that exaggerated postprandial lipemia is linked to the progression of atherosclerosis, leading cause of Cardiovascular Diseases (CVD). CVD is a multi-factorial disease with complex etiology and according to the literature postprandial Triglycerides (TG) can be used as an independent CVD risk factor. Aim of the current study is to construct an Artificial Neural Network (ANN) based system for the identification of the most important gene-gene and/or gene-environmental interactions that contribute to a fast or slow postprandial metabolism of TG in blood and consequently to investigate the causality of postprandial TG response. The design and development of the system is based on a dataset of 213 subjects who underwent a two meals fatty prandial protocol. For each of the subjects a total of 30 input variables corresponding to genetic variations, sex, age and fasting levels of clinical measurements were known. Those variables provide input to the system, which is based on the combined use of Parameter Decreasing Method (PDM) and an ANN. The system was able to identify the ten (10) most informative variables and achieve a mean accuracy equal to 85.21%.

Oscillatory genetic circuits: new designs and mathematical models

Introduction and motivation: A wide variety of organisms have developed in-ternal biomolecular clocks in order to adapt to cyclic changes of the environment. Clock operation involves genetic networks. These genetic networks have to be mod¬eled in order to understand the underlying mechanism of oscillations and to design new synthetic cellular clocks. This doctoral thesis has resulted in two contributions to the fields of genetic clocks and systems and synthetic biology, generally. The first contribution is a new genetic circuit model that exhibits an oscillatory behav¬ior through catalytic RNA molecules. The second and major contribution is a new genetic circuit model demonstrating that a repressor molecule acting on the positive feedback of a self-activating gene produces reliable oscillations. First contribution: A new model of a synthetic genetic oscillator based on a typical two-gene motif with one positive and one negative feedback loop is pre¬sented. The originality is that the repressor is a catalytic RNA molecule rather than a protein or a non-catalytic RNA molecule. This catalytic RNA is a ribozyme that acts post-transcriptionally by binding to and cleaving target mRNA molecules. This genetic clock involves just two genes, a mRNA and an activator protein, apart from the ribozyme. Parameter values that produce a circadian period in both determin¬istic and stochastic simulations have been chosen as an example of clock operation. The effects of the stochastic fluctuations are quantified by a period histogram and autocorrelation function. The conclusion is that catalytic RNA molecules can act as repressor proteins and simplify the design of genetic oscillators. Second and major contribution: It is demonstrated that a self-activating gene in conjunction with a simple negative interaction can easily produce robust matically validated. This model is comprised of two clearly distinct parts. The first is a positive feedback created by a protein that binds to the promoter of its own gene and activates the transcription. The second is a negative interaction in which a repressor molecule prevents this protein from binding to its promoter. A stochastic study shows that the system is robust to noise. A deterministic study identifies that the oscillator dynamics are mainly driven by two types of biomolecules: the protein, and the complex formed by the repressor and this protein. The main conclusion of this study is that a simple and usual negative interaction, such as degradation, se¬questration or inhibition, acting on the positive transcriptional feedback of a single gene is a sufficient condition to produce reliable oscillations. One gene is enough and the positive transcriptional feedback signal does not need to activate a second repressor gene. At the genetic level, this means that an explicit negative feedback loop is not necessary. Unlike many genetic oscillators, this model needs neither cooperative binding reactions nor the formation of protein multimers. Applications and future research directions: Recently, RNA molecules have been found to play many new catalytic roles. The first oscillatory genetic model proposed in this thesis uses ribozymes as repressor molecules. This could provide new synthetic biology design principles and a better understanding of cel¬lular clocks regulated by RNA molecules. The second genetic model proposed here involves only a repression acting on a self-activating gene and produces robust oscil¬lations. Unlike current two-gene oscillators, this model surprisingly does not require a second repressor gene. This result could help to clarify the design principles of cellular clocks and constitute a new efficient tool for engineering synthetic genetic oscillators. Possible follow-on research directions are: validate models in vivo and in vitro, research the potential of second model as a genetic memory, investigate new genetic oscillators regulated by non-coding RNAs and design a biosensor of positive feedbacks in genetic networks based on the operation of the second model Resumen Introduccion y motivacion: Una amplia variedad de organismos han desarro-llado relojes biomoleculares internos con el fin de adaptarse a los cambios ciclicos del entorno. El funcionamiento de estos relojes involucra redes geneticas. El mo delado de estas redes geneticas es esencial tanto para entender los mecanismos que producen las oscilaciones como para diseiiar nuevos circuitos sinteticos en celulas. Esta tesis doctoral ha dado lugar a dos contribuciones dentro de los campos de los circuitos geneticos en particular, y biologia de sistemas y sintetica en general. La primera contribucion es un nuevo modelo de circuito genetico que muestra un comportamiento oscilatorio usando moleculas de ARN cataliticas. La segunda y principal contribucion es un nuevo modelo de circuito genetico que demuestra que una molecula represora actuando sobre el lazo de un gen auto-activado produce oscilaciones robustas. Primera contribucion: Es un nuevo modelo de oscilador genetico sintetico basado en una tipica red genetica compuesta por dos genes con dos lazos de retroa-limentacion, uno positivo y otro negativo. La novedad de este modelo es que el represor es una molecula de ARN catalftica, en lugar de una protefna o una molecula de ARN no-catalitica. Este ARN catalitico es una ribozima que actua despues de la transcription genetica uniendose y cortando moleculas de ARN mensajero (ARNm). Este reloj genetico involucra solo dos genes, un ARNm y una proteina activadora, aparte de la ribozima. Como ejemplo de funcionamiento, se han escogido valores de los parametros que producen oscilaciones con periodo circadiano (24 horas) tanto en simulaciones deterministas como estocasticas. El efecto de las fluctuaciones es-tocasticas ha sido cuantificado mediante un histograma del periodo y la función de auto-correlacion. La conclusion es que las moleculas de ARN con propiedades cataliticas pueden jugar el misnio papel que las protemas represoras, y por lo tanto, simplificar el diseno de los osciladores geneticos. Segunda y principal contribucion: Es un nuevo modelo de oscilador genetico que demuestra que un gen auto-activado junto con una simple interaction negativa puede producir oscilaciones robustas. Este modelo ha sido estudiado y validado matematicamente. El modelo esta compuesto de dos partes bien diferenciadas. La primera parte es un lazo de retroalimentacion positiva creado por una proteina que se une al promotor de su propio gen activando la transcription. La segunda parte es una interaction negativa en la que una molecula represora evita la union de la proteina con el promotor. Un estudio estocastico muestra que el sistema es robusto al ruido. Un estudio determinista muestra que la dinamica del sistema es debida principalmente a dos tipos de biomoleculas: la proteina, y el complejo formado por el represor y esta proteina. La conclusion principal de este estudio es que una simple y usual interaction negativa, tal como una degradation, un secuestro o una inhibition, actuando sobre el lazo de retroalimentacion positiva de un solo gen es una condition suficiente para producir oscilaciones robustas. Un gen es suficiente y el lazo de retroalimentacion positiva no necesita activar a un segundo gen represor, tal y como ocurre en los relojes actuales con dos genes. Esto significa que a nivel genetico un lazo de retroalimentacion negativa no es necesario de forma explicita. Ademas, este modelo no necesita reacciones cooperativas ni la formation de multimeros proteicos, al contrario que en muchos osciladores geneticos. Aplicaciones y futuras lineas de investigacion: En los liltimos anos, se han descubierto muchas moleculas de ARN con capacidad catalitica. El primer modelo de oscilador genetico propuesto en esta tesis usa ribozimas como moleculas repre¬soras. Esto podria proporcionar nuevos principios de diseno en biologia sintetica y una mejor comprension de los relojes celulares regulados por moleculas de ARN. El segundo modelo de oscilador genetico propuesto aqui involucra solo una represion actuando sobre un gen auto-activado y produce oscilaciones robustas. Sorprendente-mente, un segundo gen represor no es necesario al contrario que en los bien conocidos osciladores con dos genes. Este resultado podria ayudar a clarificar los principios de diseno de los relojes celulares naturales y constituir una nueva y eficiente he-rramienta para crear osciladores geneticos sinteticos. Algunas de las futuras lineas de investigation abiertas tras esta tesis son: (1) la validation in vivo e in vitro de ambos modelos, (2) el estudio del potential del segundo modelo como circuito base para la construction de una memoria genetica, (3) el estudio de nuevos osciladores geneticos regulados por ARN no codificante y, por ultimo, (4) el rediseno del se¬gundo modelo de oscilador genetico para su uso como biosensor capaz de detectar genes auto-activados en redes geneticas.

Integration of socioeconomic and genetic aspects involved in the conservation of animal genetic resources = Integración de aspectos socioeconómicos y genéticos involucrados en la conservación de recursos genéticos animales

El sector ganadero está siendo gradualmente dominado por sistemas intensivos y especializados en los que los factores de producción están controlados y en los que los caracteres productivos son los criterios principales para la selección de especies y razas. Entretanto, muchos de los bienes y servicios que tradicionalmente suministraba el ganado, tales como los fertilizantes, la tracción animal o materias primas para la elaboración vestimenta y calzado están siendo reemplazados por productos industriales. Como consecuencia de ambos cambios, las razas seleccionadas intensivamente, las cuales están estrechamente ligadas a sistemas agrícolas de alta producción y altos insumos, han desplazado a muchas razas autóctonas, en las que la selección prácticamente ha cesado o es muy poco intensa. Actualmente existe una mayor conciencia social sobre la situación de las razas autóctonas y muchas funciones del ganado que previamente habían sido ignoradas están siendo reconocidas. Desde hace algunas décadas, se ha aceptado internacionalmente que las razas de ganado cumplen funciones económicas, socio-culturales, medioambientales y de seguridad alimentaria. Por ello, diferentes organismos internacionales han reconocido que la disminución de los recursos genéticos de animales domésticos (RGADs) es un problema grave y han recomendado su conservación. Aun así, la conservación de RGADs es un tema controvertido por la dificultad de valorar las funciones del ganado. Esta valoración es compleja debido que los RGADs tiene una doble naturaleza privada - pública. Como algunos economistas han subrayado, el ganado es un bien privado, sin embargo debido a algunas de sus funciones, también es un bien público. De esta forma, el aumento del conocimiento sobre valor de cada una de sus funciones facilitaría la toma de decisiones en relación a su conservación y desarrollo. Sin embargo, esta valoración es controvertida puesto que la importancia relativa de las funciones del ganado varía en función del momento, del lugar, de las especies y de las razas. El sector ganadero, debido a sus múltiples funciones, está influenciado por factores técnicos, medioambientales, sociales, culturales y políticos que están interrelacionados y que engloban a una enorme variedad de actores y procesos. Al igual que las funciones del ganado, los factores que afectan a su conservación y desarrollo están fuertemente condicionados por localización geográfica. Asimismo, estos factores pueden ser muy heterogéneos incluso dentro de una misma raza. Por otro lado, es razonable pensar que el ganadero es el actor principal de la conservación de razas locales. Actualmente, las razas locales están siendo Integration of socioeconomic and genetic aspects involved in the conservation of animal genetic resources 5 explotadas por ganaderos muy diversos bajo sistemas de producción también muy diferentes. Por todo ello, es de vital importancia comprender y evaluar el impacto que tienen las motivaciones, y el proceso de toma de decisiones de los ganaderos en la estructura genética de las razas. En esta tesis doctoral exploramos diferentes aspectos sociales, económicos y genéticos involucrados en la conservación de razas locales de ganado vacuno en Europa, como ejemplo de RGADs, esperando contribuir al entendimiento científico de este complejo tema. Nuestro objetivo es conseguir una visión global de los procesos subyacentes en la conservación y desarrollo de estas razas. Pretendemos ilustrar como se pueden utilizar métodos cuantitativos en el diseño y establecimiento de estrategias de conservación y desarrollo de RGADs objetivas y adecuadas. En primer lugar, exploramos el valor económico total (VET) del ganado analizando sus componentes públicos fuera de mercado usando como caso de estudio la raza vacuna Alistana-Sanabresa (AS). El VET de cualquier bien está formado por componentes de uso y de no-uso. Estos últimos incluyen el valor de opción, el valor de herencia y el valor de existencia. En el caso del ganado local, el valor de uso directo proviene de sus productos. Los valores de uso indirecto están relacionados con el papel que cumple las razas en el mantenimiento de los paisajes y cultura rural. El valor de opción se refiere a su futuro uso potencial y el valor de herencia al uso potencial de las generaciones venideras. Finalmente, el valor de existencia está relacionado con el bienestar que produce a la gente saber que existe un recurso específico. Nuestro objetivo fue determinar la importancia relativa que tienen los componentes fuera de mercado sobre el VET de la raza AS. Para ello evaluamos la voluntad de la gente a pagar por la conservación de la AS mediante experimentos de elección (EEs) a través de encuestas. Estos experimentos permiten valorar individualmente los distintos componentes del VET de cualquier bien. Los resultados los analizamos mediante de uso de modelos aleatorios logit. Encontramos que las funciones públicas de la raza AS tienen un valor significativo. Sus valores más importantes son el valor de uso indirecto como elemento cultural Zamorano y el valor de existencia (ambos representaron el 80% de VET). Además observamos que el valor que gente da a las funciones públicas de la razas de ganado dependen de sus características socioeconómicas. Los factores que condicionaron la voluntad a pagar para la conservación de la raza AS fueron el lugar de residencia (ciudad o pueblo), el haber visto animales de la raza o haber consumido sus productos y la actitud de los encuestados ante los conflictos entre el desarrollo económico y el medioambiente. Por otro lado, encontramos que no todo el mundo tiene una visión completa e integrada de todas las funciones públicas de la raza AS. Por este motivo, los programas o actividades de concienciación sobre su estado deberían hacer hincapié en este aspecto. La existencia de valores públicos de la raza AS implica que los ganaderos deberían recibir compensaciones económicas como pago por las funciones públicas que cumple su raza local. Las compensaciones asegurarían un tamaño de población que permitiría que la raza AS siga realizando estas funciones. Un mecanismo para ello podría ser el desarrollo del turismo rural relacionado con la raza. Esto aumentaría el valor de uso privado mientras que supondría un elemento añadido a las estrategias de conservación y desarrollo. No obstante, los ganaderos deben analizar cómo aprovechar los nichos de mercado existentes, así como mejorar la calidad de los productos de la raza prestando especial atención al etiquetado de los mismos. Una vez evaluada la importancia de las funciones públicas de las razas locales de ganado, analizamos la diversidad de factores técnicos, económicos y sociales de la producción de razas locales de ganado vacuno existente en Europa. Con este fin analizamos el caso de quince razas locales de ocho países en el contexto de un proyecto de colaboración internacional. Investigamos las diferencias entre los países para determinar los factores comunes clave que afectan a la viabilidad de las razas locales. Para ello entrevistamos mediante cuestionarios a un total de 355 ganaderos en las quince razas. Como indicador de viabilidad usamos los planes de los ganaderos de variación del tamaño de las ganaderías. Los cuestionarios incluían diferentes aspectos económicos, técnicos y sociales con potencial influencia en las dinámicas demográficas de las razas locales. Los datos recogidos los analizamos mediante distintas técnicas estadísticas multivariantes como el análisis discriminante y la regresión logística. Encontramos que los factores que afectan a la viabilidad de las razas locales en Europa son muy heterogéneos. Un resultado reseñable fue que los ganaderos de algunos países no consideran que la explotación de su raza tenga un alto valor social. Este hecho vuelve a poner de manifiesto la importancia de desarrollar programas Europeos de concienciación sobre la importancia de las funciones que cumplen las razas locales. Además los países analizados presentaron una alta variabilidad en cuanto a la importancia de los mercados locales en la distribución de los productos y en cuanto al porcentaje en propiedad del total de los pastos usados en las explotaciones. Este estudio reflejó la variabilidad de los sistemas y medios de producción (en el sentido socioeconómico, técnico y ecológico) que existe en Europa. Por ello hay que ser cautos en la implementación de las políticas comunes en los diferentes países. También encontramos que la variabilidad dentro de los países puede ser elevada debido a las diferencias entre razas, lo que implica que las políticas nacionales deber ser suficientemente flexibles para adaptarse a las peculiaridades de cada una de las razas. Por otro lado, encontramos una serie de factores comunes a la viabilidad de las razas en los distintos países; la edad de los ganaderos, la colaboración entre ellos y la apreciación social de las funciones culturales, medioambientales y sociales del ganado local. El envejecimiento de los ganaderos de razas locales no es solo un problema de falta de transferencia generacional, sino que también puede suponer una actitud más negativa hacia la inversión en las actividades ganaderas y en una menor capacidad de adaptación a los cambios del sector. La capacidad de adaptación de los ganaderos es un factor crucial en la viabilidad de las razas locales. Las estrategias y políticas de conservación comunes deben incluir las variables comunes a la viabilidad de las razas manteniendo flexibilidad suficiente para adaptarse a las especificidades nacionales. Estas estrategias y políticas deberían ir más allá de compensación económica a los ganaderos de razas locales por la menor productividad de sus razas. Las herramientas para la toma de decisiones ayudan a generar una visión amplia de la conservación y desarrollo de las razas locales. Estas herramientas abordan el diseño de estrategias de conservación y desarrollo de forma sistemática y estructurada. En la tercera parte de la tesis usamos una de estas herramientas, el análisis DAFO (Debilidades, Amenazas, Fortalezas y Oportunidades), con este propósito, reconociendo que la conservación de RGADs depende de los ganaderos. Desarrollamos un análisis DAFO cuantitativo y lo aplicamos a trece razas locales de ganado vacuno de seis países europeos en el contexto del proyecto de colaboración mencionado anteriormente. El método tiene cuatro pasos: 1) la definición del sistema; 2) la identificación y agrupación de los factores influyentes; 3) la cuantificación de la importancia de dichos factores y 4) la identificación y priorización de estrategias. Identificamos los factores utilizando multitud de agentes (multi-stakeholder appproach). Una vez determinados los factores se agruparon en una estructura de tres niveles. La importancia relativa de los cada uno de los factores para cada raza fue determinada por grupos de expertos en RGADs de los países integrados en el citado proyecto. Finalmente, desarrollamos un proceso de cuantificación para identificar y priorizar estrategias. La estructura de agrupación de factores permitió analizar el problema de la conservación desde el nivel general hasta el concreto. La unión de análisis específicos de cada una de las razas en un análisis DAFO común permitió evaluar la adecuación de las estrategias a cada caso concreto. Identificamos un total de 99 factores. El análisis reveló que mientras los factores menos importantes son muy consistentes entre razas, los factores y estrategias más relevantes son muy heterogéneos. La idoneidad de las estrategias fue mayor a medida que estas se hacían más generales. A pesar de dicha heterogeneidad, los factores influyentes y estrategias más importantes estaban ligados a aspectos positivos (fortalezas y oportunidades) lo que implica que el futuro de estas razas es prometedor. Los resultados de nuestro análisis también confirmaron la gran relevancia del valor cultural de estas razas. Las factores internos (fortalezas y debilidades) más importantes estaban relacionadas con los sistemas de producción y los ganaderos. Las oportunidades más relevantes estaban relacionadas con el desarrollo y marketing de nuevos productos mientras que las amenazas más importantes se encontraron a la hora de vender los productos actuales. Este resultado implica que sería fructífero trabajar en la motivación y colaboración entre ganaderos así como, en la mejora de sus capacidades. Concluimos que las políticas comunes europeas deberían centrarse en aspectos generales y ser los suficientemente flexibles para adaptarse a las singularidades de los países y las razas. Como ya se ha mencionado, los ganaderos juegan un papel esencial en la conservación y desarrollo de las razas autóctonas. Por ello es relevante entender que implicación puede tener la heterogeneidad de los mismos en la viabilidad de una raza. En la cuarta parte de la tesis hemos identificado tipos de ganaderos con el fin de entender cómo la relación entre la variabilidad de sus características socioeconómicas, los perfiles de las ganaderías y las dinámicas de las mismas. El análisis se ha realizado en un contexto sociológico, aplicando los conceptos de capital cultural y económico. Las tipologías se han determinado en función de factores socioeconómicos y culturales indicadores del capital cultural y capital económico de un individuo. Nuestro objetivo era estudiar si la tipología socioeconómica de los ganaderos afecta al perfil de su ganadería y a las decisiones que toman. Entrevistamos a 85 ganaderos de la raza Avileña-Negra Ibérica (ANI) y utilizamos los resultados de dichas entrevistas para ilustrar y testar el proceso. Definimos los tipos de ganaderos utilizando un análisis de clúster jerarquizado con un grupo de variables canónicas que se obtuvieron en función de cinco factores socioeconómicos: el nivel de educación del ganadero, el año en que empezó a ser ganadero de ANI, el porcentaje de los ingresos familiares que aporta la ganadería, el porcentaje de propiedad de la tierra de la explotación y la edad del ganadero. La tipología de los ganaderos de ANI resultó ser más compleja que en el pasado. Los resultados indicaron que los tipos de ganaderos variaban en muchos aspectos socioeconómicos y en los perfiles de sus Integration of socioeconomic and genetic aspects involved in the conservation of animal genetic resources 9 ganaderías. Los tipos de ganaderos determinados toman diferentes decisiones en relación a la modificación del tamaño de su ganadería y a sus objetivos de selección. Por otro lado, reaccionaron de forma diferente ante un hipotético escenario de reducción de las compensaciones económicas que les planteamos. En este estudio hemos visto que el capital cultural y el económico interactúan y hemos explicado como lo hacen en los distintos tipos de ganaderos. Por ejemplo, los ganaderos que poseían un mayor capital económico, capital cultural formal y capital cultural adquirido sobre la raza, eran los ganaderos cuyos animales tenían una mayor demanda por parte de otros ganaderos, lo cual podría responder a su mayor prestigio social dentro de la raza. Uno de los elementos claves para el futuro de la raza es si este prestigio responde a una superioridad genética de las animales. Esto ocurriría si los ganaderos utilizaran las herramientas que tienen a su disposición a la hora de seleccionar animales. Los tipos de ganaderos identificados mostraron también claras diferencias en sus formas de colaboración y en su reacción a una hipotética variación de las compensaciones económicas. Aunque algunos tipos de ganaderos mostraron un bajo nivel de dependencia a estas compensaciones, la mayoría se manifestaron altamente dependientes. Por ello cualquier cambio drástico en la política de ayudas puede comprometer el desarrollo de las razas autóctonas. La adaptación las políticas de compensaciones económicas a la heterogeneidad de los ganaderos podría aumentar la eficacia de las mismas por lo que sería interesante explorar posibilidades a este respecto. Concluimos destacando la necesidad de desarrollar políticas que tengan en cuenta la heterogeneidad de los ganaderos. Finalmente abordamos el estudio de la estructura genética de poblaciones ganaderas. Las decisiones de los ganaderos en relación a la selección de sementales y su número de descendientes configuran la estructura demográfica y genética de las razas. En la actualidad existe un interés renovado por estudiar las estructuras poblacionales debido a la influencia potencial de su estratificación sobre la predicción de valores genómicos y/o los análisis de asociación a genoma completo. Utilizamos dos métodos distintos, un algoritmo de clústeres basados en teoría de grafos (GCA) y un algoritmo de clustering bayesiano (STRUCTURE) para estudiar la estructura genética de la raza ANI. Prestamos especial atención al efecto de la presencia de parientes cercanos en la población y de la diferenciación genética entre subpoblaciones sobre el análisis de la estructura de la población. En primer lugar evaluamos el comportamiento de los dos algoritmos en poblaciones simuladas para posteriormente analizar los genotipos para 17 microsatélites de 13343 animales de 57 ganaderías distintas de raza ANI. La ANI es un ejemplo de raza con relaciones complejas. Por otro lado, utilizamos el archivo de pedigrí de la raza para estudiar el flujo de genes, calculando, entre otras cosas, la contribución de cada ganadería a la constitución genética de la raza. En el caso de las poblaciones simuladas, cuando el FST entre subpoblaciones fue suficientemente alto, ambos algoritmos, GCA y STRUCTURE, identificaron la misma estructura genética independientemente de que existieran o no relaciones familiares. Por el contrario, cuando el grado de diferenciación entre poblaciones fue bajo, el STRUCTURE identificó la estructura familiar mientras que GCA no permitió obtener ningún resultado concluyente. El GCA resultó ser un algoritmo más rápido y eficiente para de inferir la estructura genética en poblaciones con relaciones complejas. Este algoritmo también puede ser usado para reducir el número de clústeres a testar con el STRUTURE. En cuanto al análisis de la población de ANI, ambos algoritmos describieron la misma estructura, lo cual sugiere que los resultados son robustos. Se identificaron tres subpoblaciones diferenciadas que pudieran corresponderse con tres linajes distintos. Estos linajes estarían directamente relacionados con las ganaderías que han tenido una mayor contribución a la constitución genética de la raza. Por otro lado, hay un conjunto muy numeroso de individuos con una mezcla de orígenes. La información molecular describe una estructura estratificada de la población que se corresponde con la evolución demográfica de la raza. Es esencial analizar en mayor profundidad la composición de este último grupo de animales para determinar cómo afecta a la variabilidad genética de la población de ANI. SUMMARY Summary Livestock sector is gradually dominated by intensive and specialized systems where the production environment is controlled and the production traits are the main criteria for the selection of species and breeds. In the meantime, the traditional use of domestic animals for draught work, clothes and manure has been replaced by industrial products. As a consequence of both these changes, the intensively selected breeds closely linked with high-input highoutput production systems have displaced many native breeds where the selection has practically ceased or been very mild. People are now more aware of the state of endangerment among the native breeds and the previously ignored values of livestock are gaining recognition. For some decades now, the economic, socio-cultural, environmental and food security function of livestock breeds have been accepted worldwide and their loss has been recognized as a major problem. Therefore, the conservation of farm animal genetic resources (FAnGR) has been recommended. The conservation of FAnGR is controversial due to the complexity of the evaluation of its functions. This evaluation is difficult due to the nature of FAnGR both as private and public good. As some economists have highlighted, livestock animals are private goods, however, they are also public goods by their functions. Therefore, there is a need to increase the knowledge about the value of all livestock functions since to support the decision-making for the sustainable conservation and breeding of livestock. This is not straightforward since the relative importance of livestock functions depends on time, place, species and breed. Since livestock play a variety of roles, their production is driven by interrelated and everchanging economic, technical, environmental, social, cultural and political elements involving an enormous range of stakeholders. Not only FAnGR functions but also the importance of factors affecting the development and conservation of FAnGR can be very different across geographical areas. Furthermore, heterogeneity can be found even within breeds. Local breeds are nowadays raised by highly diverse farmers in equally diverse farms. It is quite reasonable to think that farmer is the major actor in the in situ conservation of livestock breeds. Thus, there is a need to understand the farmers’ motivations, decision making processes and the impact of their decisions on the genetic structure of breeds. In this PhD thesis we explore different social, economic and genetic aspects involved in the conservation of local cattle breeds, i.e. FAnGR, in Europe seeking to contribute to the scientific understanding of this complex issue. We aim to achieve a comprehensive view of the processes involved in the conservation and development of local cattle breeds and have made special efforts in discussing the implications of the research results in this respect. The final outcome of the thesis is to illustrate how quantitative methods can be exploited in designing and establishing sound strategies and programmes for the conservation and development of local livestock breeds. Firstly we explored the public non-market attributes of the total economic value (TEV) of livestock, using the Spanish Alistana-Sanabresa (AS) cattle breed as a case study. Total economic value of any good comprises both use and non-use components, where the latter include option, bequest and existence values. For livestock, the direct use values are mainly stemming from production outputs. Indirect use values relate to the role of livestock as a maintainer of rural culture and landscape. The option value is related to the potential use of livestock, the bequest values relate to the value associated with the inheritance of the resources to future generation and the existence values relate to the utility perceived by people from knowing that specific resources exist. We aimed to determine the relative importance of the non-market components of the TEV of the AS breed, the socio-economic variables that influence how people value the different components of TEV and to assess the implications of the Spanish national conservation strategy for the AS breed. To do so, we used a choice experiment (CE) approach and applied the technique to assess people’s willingness to pay (WTP) for the conservation of AS breed. The use of CE allows the valuation of the individual components of TEV for a given good. We analysed the choice data using a random parameter logit (RPL) model. AS breed was found to have a significant public good value. Its most important values were related to the indirect use value due to the maintenance of Zamorian culture and the existence value (both represent over 80% of its TEV). There were several socioeconomic variables influencing people’s valuation of the public service of the breed. In the case of AS breed, the place of living (city or rural area), having seen animals of the breed, having eaten breed products and the respondents’ attitude towards economic development – environment conflicts do influence people’s WTP for AS conservation. We also found that people do not have a complete picture of all the functions and roles that AS breed as AnGR. Therefore, the actions for increasing awareness of AS should go to that direction. The farmers will need incentives to exploit some of the public goods values and maintain the breed population size at socially desirable levels. One such mechanism could be related to the development of agritourism, which would enhance the private good value and provide an important addition to the conservation and utilisation strategy. However, the farmers need a serious evaluation on how to invest in niche product development or how to improve product quality and brand recognition. Using the understanding on the importance of the public function of local cattle we tried to depict the current diversity regarding technical, economic and social factors found in local cattle farming across Europe. To do so we focused in an international collaborative project on the case of fifteen local cattle breeds in eight European countries. We investigated the variation among the countries to detect the common key elements, which affect the viability of local breeds. We surveyed with interviews a total of 355 farms across the fifteen breeds. We used the planned herd size changes by the farmer as an indicator of breed viability. The questionnaire included several economic, technical and social aspects with potential influence on breeds’ demographic trends. We analysed the data using multivariate statistical techniques, such as discriminat analysis and logistic regression. The factors affecting a local breed’s viability were highly heterogeneous across Europe. In some countries, farmers did not recognise any high social value attached to keeping a local cattle breed. Hence there is a need to develop communication programmes across EU countries making people aware about the diversity and importance of values associated to raising local breeds. The countries were also very variable regarding the importance of local markets and the percentage of farm land owned by the farmers. Despite the country specificities, there were also common factors affecting the breed viability across Europe. The factors were from different grounds, from social, such as the age of the farmer and the social appreciation of their work, to technicalorganizational, such as the farmers’ attitude to collaborating with each other. The heterogeneity found reflects the variation in breeding systems and production environment (in the socioeconomic, technical and ecological sense) present in Europe. Therefore, caution should be taken in implementing common policies at the country level. Variability could also be rather high within countries due to breed specificities. Therefore, the national policies should be flexible to adapt to the specificities. The variables significantly associated with breed viability should be positively incorporated in the conservation strategies, and considered in developing common and/or national policies. The strategy preparation and policy planning should go beyond the provision of a general economic support to compensate farmers for the lower profitability of local breeds. Of particular interest is the observation that the opportunity for farmer collaboration and the appreciation by the society of the cultural, environmental and social role of local cattle farming were positively associated with the breed survival. In addition, farmer's high age is not only a problem of poor generation transfer but it is also a problem because it might lead to a lower attitude to investing in farming activities and to a lower ability to adapt to environment changes. The farmers’ adaptation capability may be a key point for the viability of local breeds. Decision making tools can help to get a comprehensive view on the conservation and development of local breeds. It allows us to use a systematic and structured approach for identifying and prioritizing conservation and development strategies. We used SWOT (Strengths, Weaknesses Opportunities and Threats) analysis for this purpose and recognized that many conservation and development projects rely on farmers. We developed a quantified SWOT method and applied it in the aforementioned collaborative research to a set of thirteen cattle breeds in six European countries. The method has four steps: definition of the system, identification and grouping of the driving factors, quantification of the importance of driving factors and identification and prioritization of the strategies. The factors were determined following a multi-stakeholder approach and grouped with a three level structure. FAnGR expert groups ranked the factors and a quantification process was implemented to identify and prioritize strategies. The structure of the SWOT analysis allowed analyzing the conservation problem from general down to specific perspectives. Joining breed specific analyses into a common SWOT analysis permitted comparison of breed cases across countries. We identified 99 driving factors across breeds. The across breed analysis revealed that irrelevant factors were consistent. There was high heterogeneity among the most relevant factors and strategies. The strategies increased eligibility as they lost specificity. Although the situation was very heterogeneous, the most promising factors and strategies were linked to the positive aspects (Strengths and Opportunities). Therefore, the future of the studied local breed is promising. The results of our analysis also confirmed the high relevance of the cultural value of the breeds. The most important internal factors (strengths and weaknesses) were related farmers and production systems. The most important opportunities were found in developing and marketing new products, while the most relevant threats were found in selling the current conventional products. In this regard, it should be fruitful to work on farmers’ motivation, collaboration, and capacity building. We conclude that European policies should focus on general aspects and be flexible enough to be adapted to the country and breed specificities. As mentioned, farmers have a key role in the conservation and development of a local cattle breed. Therefore, it is very relevant to understand the implications of farmer heterogeneity within a breed for its viability. In the fourth part of the thesis, we developed a general farmer typology to help analyzing the relations between farmer features and farm profiles, herd dynamics and farmers’ decision making. In the analysis we applied and used the sociological framework of economic and cultural capital and studied how the determined farmer types were linked to farm profiles and breeding decisions, among others. The typology was based on measurable socioeconomic factors indicating the economic and cultural capital of farmers. A group of 85 farmers raising the Spanish Avileña-Negra Ibérica (ANI) local cattle breed was used to illustrate and test the procedure. The farmer types were defined by a hierarchical cluster analysis with a set of canonical variables derived from the following five the socioeconomic factors: the formal educational level of the farmer, the year the farmer started keeping the ANI breed, the percentage of the total family income covered by the farm, the percentage of the total farm land owned by the farmer and the farmer’s age. The present ANI farmer types were much more complex than what they were in the past. We found that the farmer types differed in many socioeconomic aspects and in the farms profile. Furthermore, the types also differentiate farmers with respect to decisions about changing the farm size, breeding aims and stated reactions towards hypothetical subsidy variation. We have verified that economic and cultural capitals are not independent and further showed how they are interacting in the different farmer types. The farmers related to the types with high economic, institutionalized and embodied cultural capitals had a higher demand of breeding animals from others farmers of the breed, which may be related to the higher social prestige within the breed. One of the key implications of this finding for the future of the breed is whether or not the prestige of farmers is related to genetic superiority of their animals, what is to say, that it is related with a sound use of tools that farmers have available to make selection decisions. The farmer types differed in the form of collaboration and in the reactions to the hypothetical variation in subsidies. There were farmers with low dependency on subsidies, while most of them are highly dependent on subsidies. Therefore, any drastic change in the subsidy programme might have influence on the development of local breeds. The adaptation of these programme to the farmers’ heterogeneity might increase its efficacy, thus it would be interesting to explore ways of doing it. We conclude highlighting the need to have a variety of policies, which take into account the heterogeneity among the farmers. To finish we dealt with the genetic structure of livestock populations. Farmers’ decisions on the breeding animals and their progeny numbers shape the demographic and genetic structure of the breeds. Nowadays there is a renovated interest in studying the population structure since it can bias the prediction of genomic breeding values and genome wide association studies. We determined the genetic structure of ANI breed using two different methods, a graphical clustering algorithm (GCA) and a Bayesian clustering algorithm (STRUCTURE) were used. We paid particular attention to the influence that the presence of closely related individuals and the genetic differentiation of subpopulations may have on the inferences about the population structure. We first evaluated the performance of the algorithms in simulated populations. Then we inferred the genetic structure of the Spanish cattle breed ANI analysing a data set of 13343 animals (genotyped for 17 microsatellites) from 57 herds. ANI breed is an example of a population with complex relationships. We used the herdbook to study the gene flow, estimation among other things, the contribution of different herds to the genetic composition of the ANI breed. For the simulated scenarios, when FST among subpopulations was sufficiently high, both algorithms consistently inferred the correct structure regardless of the presence of related individuals. However, when the genetic differentiation among subpopulations was low, STRUCTURE identified the family based structure while GCA did not provide any consistent picture. The GCA was a fast and efficient method to infer genetic structure to determine the hidden core structure of a population with complex history and relationships. GCA could also be used to narrow down the number of clusters to be tested by STRUCTURE. Both, STRUCTURE and GCA describe a similar structure for the ANI breed suggesting that the results are robust. ANI population was found to have three genetically differentiated clusters that could correspond to three genetic lineages. These are directly related to the herds with a major contribution to the breed. In addition, ANI breed has also a large pool made of individuals with an admixture of origins. The genetic structure of ANI, assessed by molecular information, shows a stratification that corresponds to the demographic evolution of the breed. It will be of great importance to learn more about the composition of the pool and study how it is related to the existing genetic variability of the breed.

A simple genetic algorithm for calibration of stochastic rock discontinuity networks

Este artículo propone un método para llevar a cabo la calibración de las familias de discontinuidades en macizos rocosos. We present a novel approach for calibration of stochastic discontinuity network parameters based on genetic algorithms (GAs). To validate the approach, examples of application of the method to cases with known parameters of the original Poisson discontinuity network are presented. Parameters of the model are encoded as chromosomes using a binary representation, and such chromosomes evolve as successive generations of a randomly generated initial population, subjected to GA operations of selection, crossover and mutation. Such back-calculated parameters are employed to make assessments about the inference capabilities of the model using different objective functions with different probabilities of crossover and mutation. Results show that the predictive capabilities of GAs significantly depend on the type of objective function considered; and they also show that the calibration capabilities of the genetic algorithm can be acceptable for practical engineering applications, since in most cases they can be expected to provide parameter estimates with relatively small errors for those parameters of the network (such as intensity and mean size of discontinuities) that have the strongest influence on many engineering applications.

The Malthusian parameter of ascents: What prevents the exponential increase of one’s ancestors?

The reason that the indefinite exponential increase in the number of one’s ancestors does not take place is found in the law of sibling interference, which can be expressed by the following simple equation:\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} \begin{equation*}\begin{matrix}{\mathit{N}}_{{\mathit{n}}} \enskip & \\ {\mathit{{\blacksquare}}} \enskip & \\ {\mathit{ASZ}} \enskip & \end{matrix} {\mathrm{\hspace{.167em}{\times}\hspace{.167em}2\hspace{.167em}=\hspace{.167em}}}{\mathit{N_{n+1},}}\end{equation*}\end{document} where Nn is the number of ancestors in the nth generation, ASZ is the average sibling size of these ancestors, and Nn+1 is the number of ancestors in the next older generation (n + 1). Accordingly, the exponential increase in the number of one’s ancestors is an initial anomaly that occurs while ASZ remains at 1. Once ASZ begins to exceed 1, the rate of increase in the number of ancestors is progressively curtailed, falling further and further behind the exponential increase rate. Eventually, ASZ reaches 2, and at that point, the number of ancestors stops increasing for two generations. These two generations, named AN SA and AN SA + 1, are the most critical in the ancestry, for one’s ancestors at that point come to represent all the progeny-produced adults of the entire ancestral population. Thereafter, the fate of one’s ancestors becomes the fate of the entire population. If the population to which one belongs is a successful, slowly expanding one, the number of ancestors would slowly decline as you move toward the remote past. This is because ABZ would exceed 2. Only when ABZ is less than 2 would the number of ancestors increase beyond the AN SA and AN SA + 1 generations. Since the above is an indication of a failing population on the way to extinction, there had to be the previous AN SA involving a far greater number of individuals for such a population. Simulations indicated that for a member of a continuously successful population, the AN SA ancestors might have numbered as many as 5.2 million, the AN SA generation being the 28th generation in the past. However, because of the law of increasingly irrelevant remote ancestors, only a very small fraction of the AN SA ancestors would have left genetic traces in the genome of each descendant of today.

A genetic estimation algorithm for parameters of stochastic ordinary differential equations

A generic method for the estimation of parameters for Stochastic Ordinary Differential Equations (SODEs) is introduced and developed. This algorithm, called the GePERs method, utilises a genetic optimisation algorithm to minimise a stochastic objective function based on the Kolmogorov-Smirnov statistic. Numerical simulations are utilised to form the KS statistic. Further, the examination of some of the factors that improve the precision of the estimates is conducted. This method is used to estimate parameters of diffusion equations and jump-diffusion equations. It is also applied to the problem of model selection for the Queensland electricity market. (C) 2003 Elsevier B.V. All rights reserved.

Tuning pattern classifier parameters using a genetic algorithm with an application in mobile robotics

Support vector machines (SVMs) have recently emerged as a powerful technique for solving problems in pattern classification and regression. Best performance is obtained from the SVM its parameters have their values optimally set. In practice, good parameter settings are usually obtained by a lengthy process of trial and error. This paper describes the use of genetic algorithm to evolve these parameter settings for an application in mobile robotics.

Representation and parameterisation issues in genetic algorithms

A multi-chromosome GA (Multi-GA) was developed, based upon concepts from the natural world, allowing improved flexibility in a number of areas including representation, genetic operators, their parameter rates and real world multi-dimensional applications. A series of experiments were conducted, comparing the performance of the Multi-GA to a traditional GA on a number of recognised and increasingly complex test optimisation surfaces, with promising results. Further experiments demonstrated the Multi-GA's flexibility through the use of non-binary chromosome representations and its applicability to dynamic parameterisation. A number of alternative and new methods of dynamic parameterisation were investigated, in addition to a new non-binary 'Quotient crossover' mechanism. Finally, the Multi-GA was applied to two real world problems, demonstrating its ability to handle mixed type chromosomes within an individual, the limited use of a chromosome level fitness function, the introduction of new genetic operators for structural self-adaptation and its viability as a serious real world analysis tool. The first problem involved optimum placement of computers within a building, allowing the Multi-GA to use multiple chromosomes with different type representations and different operators in a single individual. The second problem, commonly associated with Geographical Information Systems (GIS), required a spatial analysis location of the optimum number and distribution of retail sites over two different population grids. In applying the Multi-GA, two new genetic operators (addition and deletion) were developed and explored, resulting in the definition of a mechanism for self-modification of genetic material within the Multi-GA structure and a study of this behaviour.

Multi-level genetic algorithm for the resource-constrained re-entrant scheduling problem in the flow shop

The re-entrant flow shop scheduling problem (RFSP) is regarded as a NP-hard problem and attracted the attention of both researchers and industry. Current approach attempts to minimize the makespan of RFSP without considering the interdependency between the resource constraints and the re-entrant probability. This paper proposed Multi-level genetic algorithm (GA) by including the co-related re-entrant possibility and production mode in multi-level chromosome encoding. Repair operator is incorporated in the Multi-level genetic algorithm so as to revise the infeasible solution by resolving the resource conflict. With the objective of minimizing the makespan, Multi-level genetic algorithm (GA) is proposed and ANOVA is used to fine tune the parameter setting of GA. The experiment shows that the proposed approach is more effective to find the near-optimal schedule than the simulated annealing algorithm for both small-size problem and large-size problem. © 2013 Published by Elsevier Ltd.