Using the p-median location model to set up aerodromes for coverage fertilization of eucalyptus plantations

Abstract

In this study an economic analysis was conducted to evaluate problem associated with a geographical information system (GIS) using facility location models for the p-median in order to optimize the location of aerodromes for the aerial fertilization (coverage fertilization) of eucalyptus plantations. The location model was tested on a 9,095.65 ha farm located in the Três Lagoas municipality in the Mato Grosso do Sul State, in Brazil. The non-capacitated p-median location model, available in ArcGIS, was evaluated in the location-allocation module. Simulations were performed based on one to five aerodromes. The fertilization and setup costs were calculated for each scenario. The results showed that the p-median location model was efficient in determining the optimal location of aerodromes. The economic analysis of the location model found that the lowest costs are incurred when using three aerodromes.

3-D network routing of Brazil nut harvesting in tropical forests

“…analysis. The goal of the location-allocation analysis was to choose facility points from a set of potential sites that would result in an ideal and efficient distribution of resources, with the aim of minimizing costs and maximizing accessibility (ESRI, 2018;Fardin et al 2018). The problem considered was that of maximum coverage, which aims to maximize the number of demand vertices covered within an analyzed impedance by locating a fixed number of facilities (Church;Revelle, 1974;ESRI, 2018).…”

“…The problem considered was that of maximum coverage, which aims to maximize the number of demand vertices covered within an analyzed impedance by locating a fixed number of facilities (Church;Revelle, 1974;ESRI, 2018). The mathematical formulation of this problem is described as follows (Equation 2) (Fardin et al, 2018). I is a set of vertices that demand coverage; J is the set of facilities; S is the distance beyond which the demand point is considered not covered (the value of S may be different for each demand point if desired); dij is the shortest distance between vertex i and vertex j; Xj = 1 if the facility is located in j, and 0 otherwise;…”

“…A vertex is considered covered when the nearest facility is less than or equal to S. Constraint (1) allows Yi to be equal to 1 when one or more facilities are located within the set Ni. In constraint (2), the number of facilities allocated is limited to p (Fardin et al, 2018).…”

Modelos de localização de facilidades para uma central de biodigestão compartilhada

“…Oliveira, Sá e Martins (2020) estudaram pontos estratégicos para facilitar o deslocamento de veículos para o atendimento médico em um espaço geográfico. Fardin et al (2018) observaram que o modelo de localização p-mediana foi eficiente para determinar a melhor localização de aeródromos para adubação em plantações de eucalipto, reduzindo os custos logísticos de aplicação. Em outro enfoque ocorre para redução de custos e aumentar a competividade para produtores de tabaco, como demonstrou Winarso et al (2019), ao encontrar a melhor localização dos armazéns de tabaco em Bokabo na Indonézia, na comparação de três métodos de instalação de localização: p-mediana, p-centro, e a cobertura máxima.…”