5 research outputs found

    Dissimilar arc routing problems

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    Money collection presents particular problems in terms of effective vehicle routing. Planning the collection or distribution of money for ATMs or parking meters gives rise to two problems: while the total collecting time should be minimized, tours on successive days should be different to prevent robberies. The combination of these two problems is named as the Dissimilar Routing Problem. When the safes to be collected are located along the streets, it corresponds to an arc routing problem, which we call DARP, and when the money is from ATMs, it corresponds to a vehicle routing problem, usually referred to as the peripatetic routing problem. The former problem arises in a Portuguese company in charge of street parking in Lisbon. The firm needs to define tours to collect safes from parking meters, minimizing the total collecting time. To avoid robberies these tours cannot be repeated or somehow anticipated. For this new problem, we present a mixed integer linear programming (MILP) model and develop a matheuristic. Preliminary experiments are provided with data that mimic the real confidential data. Results point to a good performance of the matheuristic, while the smaller instances can be solved to optimality with the MILP model and a commercial solver.info:eu-repo/semantics/publishedVersio

    Cyclic disjointness of Hamiltonian tours

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    Sua aplicação a Destacamento Territorial

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    O Trabalho de Investigação Aplicada elaborado intitula-se: “Otimização de rotas na Guarda Nacional Republicana: sua aplicação a Destacamento Territorial”. Neste sentido, pretende-se analisar as situações em que se possa efetivar uma otimização de rotas e, paralelamente, construir rotas eficientes, estudando a aplicabilidade de ferramentas que auxiliam as tomadas de decisão. Esta investigação assenta no método hipotético-dedutivo e fundamenta-se nas fases de estudo em Investigação Operacional referidas por Taha (2008) e Hillier e Lieberman (2013), tendo em vista a verificação de hipóteses, a resposta a perguntas derivadas e concluindo com a resposta à pergunta de partida. Neste trabalho são abordados os temas de otimização de rotas e patrulhamento de um ponto de vista teórico, apresentando-se, de seguida, a metodologia e procedimentos utilizados e, ainda, a apresentação, análise e discussão de resultados. Por fim, são expostas as conclusões inferidas, tecendo-se recomendações para investigações futuras. Finalizada a investigação, observou-se que o modelo de otimização construído revela grandes vantagens na redução de quilómetros percorridos e de tempo despendido para planeamento, através de ferramentas que representam restrições reais, sendo as suas interfaces bastante intuitivas. Assim sendo, este permite a otimização de um processo comummente extensível a todo o dispositivo territorial, minimizando custos e não inviabilizando um policiamento de proximidade, o alcance a toda a população e o aumento do sentimento de segurança. Deste modo, conclui-se que o modelo contribui de forma significativa para a obtenção de benefícios operacionais e ganhos de eficiência. No fundo, este trabalho também pretende mostrar o quão importante é a Investigação Operacional na otimização de procedimentos, na melhoria das tomadas de decisão e na oportunidade de tornar o trabalho da Guarda Nacional Republicana mais económico, eficiente e eficaz.The research applied prepared is entitled: “Route Optimization in National Republican Guard: its application to Territorial Detachment.” In this sense, it is intended to analyze the situations in which a route optimization can be applied and, in parallel, to construct efficient routes by studying the tools applicability that aid to decision making. This research is based on the hypothetical-deductive method and is based on the study phases in operational research referred by Taha (2008) and Hillier & Lieberman (2013), to test hypotheses, answer to the derived questions and conclude with the answer to the initial question. In this work, the topics of route optimization and patrolling are approached from a theoretical point of view, presenting then the methodology and procedures used and the presentation, analysis and discussion of results. Finally inferred conclusions are presented and recommendations are expressed for future investigations. Completed the investigation, it was observed that the optimization model built shows great advantages in reducing kilometers traveled and time spent for planning, using tools that represent real constraints with very intuitive interfaces. Therefore, this allows the optimization of a process commonly extended to all territorial device, minimizing costs and allowing a proximity patrolling that involves the entire population and increases sense of security. In this way, it is concluded that the model contributes significantly to the achievement of operational benefits and efficiency gains. This paper also aims to show how important it is operational research on optimization of procedures, improving decision making and the opportunity to make Republican National Guard work more economic, efficient and effective
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