Summary: | Optimal location of a facility is important for public or private organizations. Spatial distribution of demand, reachability of demand to the nearest facility, and availability of service provided by the facility are some of the factors that must be considered in locating the facilities. Facility location model with covering problem is an approach that is capable of locating a facility at an optimal location while ensuring demand is served within a defined travel distance. The recycling facility is one of the services provided by the local authorities to encourage households to practice separation at source activity. Within the scope of study, we present a set covering model for solving the recycling facility location problem. The proposed model can determine the optimal location for a recycling facility as well as the ideal allocation of bins to satisfy facility capacity and demand. We evaluate the proposed model's performance using a data set generated at random. Results showed that the proposed model was effective in locating demand at the closest facility while allocating the optimal number of bins to guarantee service accessibility and availability. © 2024 Author(s).
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