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Depending on the challenge that is the collection and disposal of garbage this paper proposes the use of mathematical techniques to find the optimal locations of treatment stations of solid waste in the Metropolitan Region of Curitiba (RMC), to reduce transport costs and improve the utilization of waste, with the processing of materials, turning them into compost and energy source. The following information was used to perform work, the bulk density of waste per sector in the region under study; location of each possible site for the establishment of centers of waste treatment; and the maximum distance to be traveled by trucks to the poles. A mixed linear programming model is proposed for the problem of waste collection. The problem is solved in two stages called Sectorization and Trucks Quantity, respectively. In the first stage of installation of local treatment centers are defined in terms of volumes to be collected and the frequency of attendance. In the second stage, the number of trucks needed is calculated. Five simulations with different possible choices for installing poles treatment were performed. The result shows the tonnage sent to each polo, separated by weekday and quantity of trucks needed. The presented model can be used by public managers in accordance with existing policies and cost considered. Different choices were given according to the amount of treatment centers to be built. The model allows simulations based on the number of facilities and different costs.

MODELO DE LOCALIZAÇÃO DE FACILIDADES PARA A INSTALAÇÃO DE PÓLOS PARA COLETA DE RESÍDUOS NA REGIÃO DE CURITIBA