[pt] Compreensão de dados, codificação digital da fala, telecomunicações via celular, correção de erros de transmissão, são algumas das aplicações práticas do estudo dos códigos de cobertura, um importante ramo da área da matemática denominada teoria dos códigos. Neste trabalho são abordados dois problemas de códigos de cobertura: o problema clássico de códigos de cobertura e o recente problema denominado de códigos curtos de cobertura. Apresenta-se uma aplicação da metaeurística Busca Tabu Reativa, uma importante variação da Busca Tabu clássica, para os problemas citados. Além disto, apresenta-se uma nova técnica heurística para resolução de problemas de otimização combinatória denominada Heurística de Melhoria via Geração de Colunas (HMGC), juntamente com uma aplicação da mesma aos problemas em questão. A HMGC combina a geração atrasada de colunas, técnica usada na resolução de problemas com um grande número de variáveis de decisão (colunas), e heurísticas de busca local. É feita uma comparação dos resultados obtidos pela Busca Tabu Reativa, a Busca Tabu sem o mecanismo de reação e a HMGC, de forma a avaliar a qualidade das heurísticas apresentadas. / [en] Data compression, speech coding, móbile telecommunications and error-corretion are some of the practical apllications of the covering codes study, an important field of coding theory. This work addresses two problems of covering codes: the classic code covering problem and the recent short code covering problem. It presents an application of Reactive Tabu Search (RTS) metaheuristic for the problems cited, the RTS is an important variation of the classic Tabu Search. Moreover, it presents a new heuristic technique for solving combinatorial optimization problems named Column Generation Improbement Heuristic (CGIH). It also presents an application of CGIH for the covering codes problems. The CGIH combines the delayed column generation, technique used to solve problems with a large number of decision variables (columns), and local search heuristics. A comparison of results obtained by the Reactive Tabu Search, the Tabu Search without the reaction mechanism and the CGIH is also presented in order to assess the effectivenss of the presented heuristics.

Efficient ground handling at airports greatly adds to the performance of the entire air transportation network. In this network, airports are connected via aircraft that rely on passenger and crew connections, successful local airport operations, and efficient ground handling resource management. In addition, airport stakeholders’ decision-making processes must take into account various time scales (look-ahead times), process estimates, and both limited and multiple-dependent solution spaces. Most airlines have created integrated hub and operations control centers to monitor and adapt tactical operations. Despite this, decisions in such control centers should be made quickly in case of disruption. The decisions should also include the interests of various airline departments and local stakeholders. Taking into account the Airport Collaborative Decision Making (A-CDM) concept, the joint venture between Airports Council International Europe (ACI EUROPE) - European Organization for the Safety of Air Navigation (EUROCONTROL) - International Air Transport Association (IATA) - Civil Air Navigation Services Organization (CANSO), this study creates different tools to manage turnaround in normal and disrupted contexts, hence facilitating decision-making in an Airport Operations Control Center (AOCC) and a Hub Control Center (HCC). This research focuses on the airline role in the collaborative decision-making process. Regarding A-CDM milestones, turnaround time estimation is computed by four modeling methodologies, namely Critical Path Method (CPM), Project Evaluation and Review Technique (PERT), Fuzzy Critical Path Method (FCPM), and Analytical Convolution in deterministic and nondeterministic domains. In addition, the study develops mathematical models to return the airline schedule to its original plan in the event of delays. Chance-constrained and Robust optimization are also created for optimal decision-making when airlines confront uncertainty during real-world operations. The study also develops a novel Hybrid Shuffled Frog-Leaping Algorithm (SFLA)-Grasshopper Optimization Algorithm (GOA) to expedite the process of finding recovery solutions, allowing AOCC and HCC for real-time applications to send this information to the relevant departments. In comparison to common linear solvers, the solution process is sped up by 18 percent and the quality of the solutions is enhanced by 24 percent on average. Initial results are generated in less than 2 minutes, and global optimal results are achieved in near 15 minutes allowing the system to be applied in real-time applications.:Abstract 1 Introduction 1.1 Problem Description 1.1.1 Decision Scope 1.1.2 Airport Collaborative Decision Making (A-CDM) 1.1.3 Total Airport Management 1.1.4 Ground Handlers 1.1.5 Turnaround Management 1.2 Aims and Objectives 1.3 Thesis Contribution 1.4 Structure 2 Literature Review 2.1 Turnaround 2.2 Ground Handling 2.3 Flights and Networks 2.4 Apron and Gate Assignment 2.5 Scopes Combination 2.5.1 Gate Assignment and Turnaround 2.5.2 Gate Assignment and Flights 2.5.3 Gate Assignment and Ground Handling 2.5.4 Turnaround and Flights 2.5.5 Turnaround and Ground Handling 2.5.6 Flights and Ground Handling 2.6 Turnaround Operations 2.7 Conclusion 3 Turnaround Definition 3.1 Turnaround in A-CDM System 3.2 Turnaround and Ground Handling 3.3 Turnaround Operations 3.3.1 In-Block (INB) and Acceptance (ACC) 3.3.2 Deboarding (DEB) and Boarding (BOA) 3.3.3 Fueling (FUE) 3.3.4 Catering (CAT) 3.3.5 Cleaning (CLE) 3.3.6 Unloading (UNL) and Loading (LOA) 3.3.7 Water service (WAT) and Toilette (TOI) 3.3.8 Finalization (FIN) 4 Total Turnaround Time (TTT) Calculation 4.1 Critical Path Method (CPM) 4.2 Project Evaluation and Review Technique (PERT) 4.3 Fuzzy Critical Path Method (FCPM) 4.3.1 Fuzzy Numbers and Fuzzy Sets 4.3.2 Fuzzy Membership Functions of Turnaround Tasks 4.3.3 Probability-possibility Transformation of Turnaround Tasks 4.3.4 Fuzzy Critical Path Method (FCPM) in Total Turnaround Time (TTT) Calculation 4.3.5 Discussion 4.4 Analytical Convolution 4.4.1 Convolution Method 4.4.2 Monte Carlo (MC) Simulation Evaluation 4.4.3 Application of Convolution in Turnaround Control 5 Disruption Management 5.1 Airline Disruption Management 5.1.1 Airport Operations Control Center (AOCC) 5.1.2 Delay in the Airline Networks 5.1.3 Recovery Options 5.2 Deterministic Model 5.2.1 Mathematical Model 5.2.2 Solution Approaches 5.2.3 Problem Setting 5.3 Non Deterministic Model 5.3.1 Stochastic Arrivals 5.3.2 Stochastic Duration 6 Conclusion 6.1 Discussion around Research Questions 6.1.1 Integration of All Actors 6.1.2 Turnaround Time Prediction 6.1.3 Quick and Robust Reaction 6.2 Future Research 6.2.1 Scope Development 6.2.2 Algorithm Development 6.2.3 Parameter Development List of Acronyms List of Figures List of Tables Bibliography Acknowledgement

Les problèmes d'optimisation continue sont nombreux, en économie, en traitement de signal, en réseaux de neurones, etc. L'une des solutions les plus connues et les plus employées est l'algorithme évolutionnaire, métaheuristique basée sur les théories de l'évolution qui emprunte des mécanismes stochastiques et qui a surtout montré de bonnes performances dans la résolution des problèmes d'optimisation continue. L’utilisation de cette famille d'algorithmes est très populaire, malgré les nombreuses difficultés qui peuvent être rencontrées lors de leur conception. En effet, ces algorithmes ont plusieurs paramètres à régler et plusieurs opérateurs à fixer en fonction des problèmes à résoudre. Dans la littérature, on trouve pléthore d'opérateurs décrits, et il devient compliqué pour l'utilisateur de savoir lesquels sélectionner afin d'avoir le meilleur résultat possible. Dans ce contexte, cette thèse avait pour objectif principal de proposer des méthodes permettant de remédier à ces problèmes sans pour autant détériorer les performances de ces algorithmes. Ainsi nous proposons deux algorithmes :- une méthode basée sur le maximum a posteriori qui utilise les probabilités de diversité afin de sélectionner les opérateurs à appliquer, et qui remet ce choix régulièrement en jeu,- une méthode basée sur un graphe dynamique d'opérateurs représentant les probabilités de passages entre les opérateurs, et en s'appuyant sur un modèle de la fonction objectif construit par un réseau de neurones pour mettre régulièrement à jour ces probabilités. Ces deux méthodes sont détaillées, ainsi qu'analysées via un benchmark d'optimisation continue / The problems of continuous optimization are numerous, in economics, in signal processing, in neural networks, and so on. One of the best-known and most widely used solutions is the evolutionary algorithm, a metaheuristic algorithm based on evolutionary theories that borrows stochastic mechanisms and has shown good performance in solving problems of continuous optimization. The use of this family of algorithms is very popular, despite the many difficulties that can be encountered in their design. Indeed, these algorithms have several parameters to adjust and a lot of operators to set according to the problems to solve. In the literature, we find a plethora of operators described, and it becomes complicated for the user to know which one to select in order to have the best possible result. In this context, this thesis has the main objective to propose methods to solve the problems raised without deteriorating the performance of these algorithms. Thus we propose two algorithms:- a method based on the maximum a posteriori that uses diversity probabilities for the operators to apply, and which puts this choice regularly in play,- a method based on a dynamic graph of operators representing the probabilities of transitions between operators, and relying on a model of the objective function built by a neural network to regularly update these probabilities. These two methods are detailed, as well as analyzed via a continuous optimization benchmark

Esta pesquisa trata o Problema de Programação de Tripulantes (PPT), presente no planejamento operacional das empresas aéreas. O principal objetivo do PPT é atribuir um conjunto de tarefas aos tripulantes, considerando as regulamentações trabalhistas, as regras de segurança e as políticas das empresas, de tal maneira que o custo da tripulação seja mínimo. O PPT é normalmente dividido em dois subproblemas, resolvidos sequencialmente: Problema de Determinação das Viagens (PDV) e Problema de Atribuição de Escalas (PAE). No PDV, determina-se um conjunto de viagens que cubra todos os voos planejados. Em seguida, no PAE, as escalas, compostas pelas viagens escolhidas e outras atividades como folgas, sobreavisos, reservas, treinamentos e férias, são atribuídas aos tripulantes. Esta decomposição justifica-se pela natureza combinatória do PPT, porém não incorpora as disponibilidades e as preferências dos tripulantes em ambos os subproblemas (PDV e PAE), gerando assim custos extras relacionados aos conflitos que surgem durante a atribuição das escalas aos tripulantes no PAE. Além disso, as estimativas de custos adotadas no PDV não possuem caráter global, já que o custo real da programação só pode ser obtido após a atribuição das escalas. O estado da arte envolve a solução integrada do PPT, em que se elimina a necessidade de resolver inicialmente o PDV, provendo assim uma melhor estimativa de custo e uma programação final com melhor qualidade, por considerar os custos da tripulação, as disponibilidades e preferências dos tripulantes de forma global. O problema, no entanto, é NP-Difícil. Assim sendo, a metodologia proposta nesta pesquisa objetiva a solução do PPT de forma integrada, através de um Algoritmo Genético Híbrido (AGH) associado a um procedimento de busca em profundidade, levando em conta as particularidades da legislação brasileira. A metodologia foi testada, com sucesso, para a solução de instâncias baseadas na malha real de uma empresa aérea brasileira. / This master of science research treats the Crew Scheduling Problem (CSP), as part of the airlines operational planning. The main aim of the CSP is to assign a set of tasks to crew members, considering the labor regulations, safety rules and policies of companies, such that the crew cost is minimal. The CSP is divided into two subproblems, solved sequentially: Crew Pairing Problem (CPP) and Crew Rostering Problem (CRP). First, CPP provides a set of pairings that covers all the planned flights. Then, in the CRP, the rosters, encompassing the pairings and other activities such as rest periods, alert duties, reserve duties, training times and vacations, are assigned to the crew members. This decomposition is justified by the combinatorial nature of the CSP, but it not incorporates the crew members availabilities and preferences in both subproblems (CPP and CRP), generating extra costs related to conflicts that arise during the assignment of rosters to the crew members in the CRP. Besides, the costs estimations adopted in the CPP does not have a global character, since the real cost of the global schedule can be only obtained after the assignment of the rosters. The state of the art involves the integrated solution of CSP, where the CPP does not need to be solved, thus providing a better estimated cost and a better schedule quality, considering crew costs and also crew members availabilities and preferences globally. The problem, however, is NP-Hard. Therefore, the methodology proposed in this master of science research aims to obtain an integrated solution of the CSP, through an hybrid algorithm genetic associated with a depth-first search procedure, taking into account the Brazilian legislation. The methodology was tested, with success, to solve instances related a real network of a Brazilian airline.

O problema de roteamento do ônibus escolar (PROE), é um importante problema de ordem prática, estudado em otimização combinatória. É formulado através de um conjunto de paradas, frotas de ônibus, escolas e garagem, onde a partir destes conjuntos, busca-se criar rotas otimizadas visando a redução do custo operacional do serviço. Este trabalho apresenta duas grandes contribuições para a melhoria da solução do PROE, sendo elas, o desenvolvimento de um algoritmo baseado na metaheurística GRASP + 2-Opt, para a geração de rotas otimizadas, e um sistema de apoio a decisão para o PROE, com a utilização de funções do Google Maps v3, para proporcionar uma visualização ágil da atual situação do problema para o administrador do sistema, isto, através do uso de marcadores de localizações para paradas de ônibus, escolas e garagem. O sistema foi testado de duas formas. A primeira, com a utilização de instâncias de referência da literatura e a segunda com uma simulação de um ambiente do mundo real. Os resultados são comparados com os principais trabalho da literatura do problema, assim conseguindo gerar soluções com uma redução significativa na quantidade de ônibus utilizados, bem como no tempo de processamento para a geração das rotas. / The school bus routing problem (SBRP) is an important practical problem, studied in combinatorial optimization. It is formulated through a set of stops, bus fleets, schools and garage, where from these sets, we seek to create optimized routes in order to reduce the operating cost of the service. This work presents two great contributions to the improvement of SBRP solution, are the following, the development of an algorithm based on GRASP + 2-Opt, for generating optimal routes and a system decision support for the SBRP, with the use of Google Maps v3 functions, to provide a agile view of the current situation of the problem to the system administrator, through the use of marker locations for bus stops, schools and garage. The system was tested in two ways. First, with the use of benchmark instances the literature and the second with a simulation of a real-world environment. The results are compared with the main work problem literature, thus achieving generate solutions with a significant reduction in the number of buses used and the computational time for generating the route.

Made available in DSpace on 2015-03-04T18:51:14Z (GMT). No. of bitstreams: 1 dissertacao_eduardo_krempser.pdf: 675502 bytes, checksum: 9909466baacd7f6cebcd6029c53ed6c4 (MD5) Previous issue date: 2009-03-04 / Conselho Nacional de Desenvolvimento Cientifico e Tecnologico / Optimization is a large area of knowledge concerned with the need of a better use of resources and activities, becoming indispensable in the solution of several problems which arise from the study and formulation of real-world problems. Furthermore, the constraints that must be respected for each situation introduce in the methodologies of optimization an additional complication. Differential Evolution, which in its original formulation is applied only to unconstrained optimization problems in continuous space, also provides good results when applied to constrained optimization with discrete and continuous variables. This work presents the necessary improvements to Differential Evolution for its proper application to this class of problems, and proposes a new combination of techniques for this application, as well as a mechanism for dynamic selection of the appropriate variant of the technique. The initial proposal is a combination of Differential Evolution with a technique of adaptive penalty (APM) and the second proposal concerns the dynamic selection of variants during the search process. Several computational experiments are carried out confirming the competitiveness of the proposed algorithms. / A otimização é uma grande área de conhecimento voltada para a necessidade de um melhor aproveitamento de recursos e atividades, tornando-se indispensável na resolução de grande parte dos problemas oriundos de estudos e formulações de problemas reais. Além disso, as restrições que devem ser respeitadas para cada situação introduzem nas metodologias de otimização um complicador adicional. A Evolução Diferencial, que em sua formulação original é aplicada somente a problemas de otimização irrestrita e em espaços contínuos, apresenta também bons resultados quando aplicada à otimização restrita com variáveis contínuas e discretas. Este trabalho apresenta os aperfeiçoamentos necessários à Evolução Diferencial para sua adequada aplicação sobre essa classe de problemas, além de propor uma nova combinação de técnicas para essa aplicação, bem como um mecanismo de seleção dinâmica da variante adequada da técnica. A proposta inicial é a combinação da Evolução Diferencial com uma técnica adaptativa de penalização (APM) e a segunda proposta visa a seleção dinâmica de variantes durante o processo de busca. Vários experimentos computacionais são executados confirmando a competitividade dos algoritmos propostos.

presente trabalho consolida um estudo para o planejamento de trajetória livre de colisão para um robô pneumático com 5 graus de liberdade aplicando três algoritmos metaheurísticos: algoritmos metaheurísticos por vagalumes, algoritmos metaheurísticos por enxames de partículas e algoritmos genéticos. No que se refere à aplicação de algoritmos metaheurísticos ao estudo de planejamento de trajetória de robôs manipuladores na presença de obstáculos, existem diferentes tipos de técnicas para evitar colisões que consideram os efeitos cinemáticos e dinâmicos na obtenção de trajetórias com o menor tempo, torque, etc. Neste estudo, são propostas contribuições à aplicação dessas técnicas especificamente a robôs manipuladores pneumáticos, sobretudo, no que diz respeito às características específicas dos servoposicionadores pneumáticos, como, por exemplo, a modelagem do atrito desses sistemas, o cálculo da massa equivalente, etc. A metodologia utilizada é definida em duas etapas. A primeira delas consiste na obtenção de pontos intermediários, adquiridos considerando a menor distância entre os mesmos e o ponto final, gerados considerando a presença de obstáculos (cilindros, cubos e esferas) Esses obstáculos são mapeados em regiões de colisão, que constituem restrições para o problema de otimização. A segunda etapa baseia-se no estudo do planejamento de trajetórias: aplicam-se b-splines de 5º e 7º grau na interpolação dos pontos intermediários, com vistas à obtenção de trajetórias que considerem, de um lado, a menor força dos atuadores associada à dinâmica do manipulador em estudo e, de outro, restrições cinemáticas e dinâmicas, determinadas por meio das características operacionais dos servoposicionadores pneumáticos. Os resultados mostram que a metodologia proposta é adequada para tarefas de manipulação de peças na presença de obstáculos, uma vez que os pontos intermediários situam-se fora da região de colisão nos três casos aqui apresentados. Além disso, quanto à segunda etapa, observou-se que as trajetórias de 5º e 7º grau apresentaram resultados similares, de maneira que os erros obtidos poderiam ser melhorados analisando aspectos associados ao controlador do robô em estudo. / The thesis presents a study for collision-free trajectory planning for a pneumatic robot with 5 degrees of freedom applying three metaheuristic algorithms: firefly metaheuristic algorithm, particle swarm optimization and genetic algorithms. As regards the application of metaheuristic algorithms to the study of the trajectory planning of manipulating robots in the presence of obstacles, there are different types of techniques to avoid collisions that consider the kinematic and dynamic effects, obtaining trajectories with the optimal time, torque, etc. In this study, contributions are made to the application of these techniques specifically to pneumatic manipulator robots, particularly with regard to the specific characteristics of pneumatic servo-actuators, such as friction modeling of these systems, calculation of equivalent mass, etc. The methodology used is defined in two steps. The first one consists of obtaining intermediate points, acquired considering the smallest distance between the intermediate points and the final point, generated considering the presence of obstacles (cylinders, cubes and spheres) These obstacles are mapped in collision regions, which are constraints to the optimization problem. The second step is based on the study of the trajectory planning: 5th and 7th degree b-splines are applied in the interpolation of the intermediate points, in order to obtain trajectories that consider the smallest actuator force associated to the dynamics of the manipulator and the kinematic and dynamic constraints, determined by the operational characteristics of pneumatic servo-positioners. The results show that the proposed methodology is suitable for tasks of manipulating parts in the presence of obstacles because the intermediate points are outside the collision region in the three cases presented here. In addition, it was observed that the trajectories of 5th and 7th degree presented similar results, so that the errors obtained could be improved by analyzing aspects associated to the controller of the robot.

Le transport de matériaux pour la réalisation d’infrastructures routières et le terrassement représente, en 2013, plus de la moitié de l’activité du secteur des travaux publics. Les méthodes d’optimisation de tournées de véhicules permettent aujourd’hui de résoudre des problèmes de grandes tailles en intégrant les contraintes liées au métier. Dans cette thèse, nous nous intéressons à la résolution du problème riche de collectes et livraisons en camions complets avec des contraintes de synchronisation sur les ressources. Dans un premier temps, nous résolvons le problème de tournées de véhicules avec une méthode heuristique en deux phases. Dans un second temps, nous étudions l’intégration des contraintes liées aux temps de conduite des chauffeurs ainsi que l’ajout des pauses déjeuners aux tournées. Nous testons les algorithmes proposés sur des instances de la littérature et des instances réelles issues d’une application industrielle d’une entreprise de Travaux Publics. / In 2013, the transportation of materials for roads construction and earthwork represents more than half of the whole activity of in the public works sector. Optimization methods for vehicle routing problems allow to solve big-size problems with industrial sector constraints. In this thesis, we focus on solving the rich full truckload pickup and delivery problem with resource synchronization. First, we solve this vehicle routing problem with a two phase heuristic method. Then, we study the integration of regulation of drivers’ working hours and the addition of lunch breaks in routes of vehicles. These methods are tested on instances from the literature and real life instances from a public works company.

The purpose of this research is to develop a method for selecting the fidelity of contributing analyses in computer simulations. Model uncertainty is a significant component of result validity, yet it is neglected in most conceptual design studies. When it is considered, it is done so in only a limited fashion, and therefore brings the validity of selections made based on these results into question. Neglecting model uncertainty can potentially cause costly redesigns of concepts later in the design process or can even cause program cancellation. Rather than neglecting it, if one were to instead not only realize the model uncertainty in tools being used but also use this information to select the tools for a contributing analysis, studies could be conducted more efficiently and trust in results could be quantified. Methods for performing this are generally not rigorous or traceable, and in many cases the improvement and additional time spent performing enhanced calculations are washed out by less accurate calculations performed downstream. The intent of this research is to resolve this issue by providing a method that will minimize the amount of time spent conducting computer simulations while meeting accuracy and concept resolution requirements for results.

Resumo: Neste trabalho a metaheurística GRASP é utilizada para resolver o problema de reconfiguração de sistemas de distribuição de energia elétrica modelado como um problema de programação não linear binário misto. O objetivo é minimizar as perdas de potência ativa do sistema sujeito a restrições físicas e operacionais do sistema de distribuição. As variáveis binárias do problema representam a abertura e/ou fechamento de chaves de interconexão existentes nos ramos do sistema e as variáveis contínuas representam as tensões nodais e ângulos das tensões nodais. Na metodologia utilizada todas as chaves de interconexão do sistema de distribuição estão fechadas no início do processo e a cada passo da fase construtiva do GRASP um ramo é desconectado do sistema e um fluxo de carga é resolvido. Na fase de melhoria, tendo em vista que a solução da fase construtiva é um sistema radial, foi utilizado a cada iteração um fluxo de carga especializado para sistemas radiais. Para garantir que o sistema de distribuição opere de forma radial, foi introduzido na metodologia de solução uma rotina na qual é verificada a formação de laços e a conectividade do sistema em cada iteração das fases de construção e de melhoria local. São apresentados testes realizados utilizando os sistemas de 14, 33, 84,119 e 136 barras para avaliar a eficiência e robustez da metodologia proposta. Os resultados obtidos foram comparados aos resultados encontrados na literatura com o objetivo de validar a proposta deste trabalho / Abstract: In this work the GRASP is used to solve the problem of reconfiguring systems for electricity distribution modeled as a nonlinear programming problem of binary mixture. The goal is to minimize the power losses of the system subject to physical constraints and operating the distribution system. The problem of binary variables represents the opening and/or closing braces interconnecting branches existing in the system and the continuous variables represent the nodal voltages and angles of nodal voltages. In the methodology used to interconnect all the keys of the distribution system are closed at the beginning of the process and every step of the constructive phase of GRASP a branch is disconnected from the system and a load flow is solved. In the improvement phase, given that the solution of the constructive phase is a radial system was used at each iteration a load flow for radial systems specialist. To ensure that the distribution system operates in a radial manner, was introduced into the solution methodology is a routine in which verified the formation of linkages and connectivity of the system in each iteration of the phases of construction and local improvement. Tests are presented using the systems 14, 33, 84, 119 and 136 bus to evaluate the efficiency and robustness of the proposed methodology. The results were compared to results from the literature in order to validate the proposal of this work / Orientador: Rubén Augusto Romero Lázaro / Coorientador: Marina Lavorato de Oliveira / Banca: Marcos Julio Rider Flores / Banca: Eduardo Nobuhiro Asada / Mestre