The Proposition of a Mathematical Model for the Location of Electrical and Electronic Waste Collection Points

Ítalo Ruan Barbosa de Aquino, Josenildo Ferreira da Silva Junior, Patricia Guarnieri and Lucio Camara e Silva
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Ítalo Ruan Barbosa de Aquino: Post-Graduate Program in Production Engineering, Federal University of Pernambuco, Caruaru 55014-900, Brazil
Josenildo Ferreira da Silva Junior: Department of Production Engineering, Federal University of Pernambuco, Caruaru, 55014-900, Brazil
Patricia Guarnieri: Post-Graduate Program in Management and Post-Graduate Program in Agribusiness, Universiy of Brasília, Brasilia, 70910-900, Brazil
Lucio Camara e Silva: Post-Graduate Program in Production Engineering, Federal University of Pernambuco, Caruaru 55014-900, Brazil

Sustainability, 2020, vol. 13, issue 1, 1-15

Abstract: Given the environmental impacts produced by the growing increase in waste electrical and electronic equipment (WEEE) and their current inadequate management, this article proposes a mathematical model to define the best location for installing WEEE collection points. The objective is to minimize the cost of the reverse logistics system concerning transportation, installation, opportunity cost, and distance between points and demand. We used a heuristic created from the greedy randomized adaptive search procedure and genetic algorithm meta-heuristics to solve the model, with part of the model variables being defined by another heuristic or by the JuMP v.0.21.2 and CLP Solver v.0.7.1 packages, to guarantee an optimal response to a subproblem of these variables. The model and its solver were written in the Julia Programming Language and executed in two test scenarios. In the first, three vehicles with small loads must collect at five points. In the second, a vehicle with greater available capacity must collect at five points. The results obtained show that the mathematical model and the heuristic are adequate to solve the problem. Thus, we understood that the proposed method contributes to the literature, given the criticality of the current scenario concerning the management of WEEE, and it can assist managers and public policymakers when providing inputs for decision-making related to the choice of the best location for installing collection points.

Keywords: collection points; e-waste; electro electronic residues; mathematical modelling; reverse logistics (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2020
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