A numerical solution for the air pollution control problem in 3D1

This paper studies the minimization of the cost of an air pollution control problem in a three-dimensional region where there exists several sources of pollution. Since the control area has an infinite set of points, the proposed model was formulated using semi-infinite programming (SIP). The proble...

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Autores:
Gomez, Alirio
Fedossova, Alina
Britto Agudelo, Rodrigo
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/60426
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/60426
http://bdigital.unal.edu.co/58758/
Palabra clave:
62 Ingeniería y operaciones afines / Engineering
Programación semi-infinita
programación estocástica
control de contaminación del aire
solución numérica
región tridimensional (3D)
Semi-infinite programming
stochastic programming
air pollution control
numerical solution
three-dimensional region (3D)
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:This paper studies the minimization of the cost of an air pollution control problem in a three-dimensional region where there exists several sources of pollution. Since the control area has an infinite set of points, the proposed model was formulated using semi-infinite programming (SIP). The problem was solved by using a version of Volkov–Zavriev’s (1997) stochastic outer approximations method, which consists of an active search for relevant constraints based in quasi-optimal functions. The concentration of the contaminant at each point in the region is obtained from a Gaussian model. Three cases were analyzed taking into account the Colombian standard for sulfur dioxide. The hypothesis that polluting sources should not be established within cities was supported. Lastly, results indicate that solutions that cost the least allow the harmful effects caused by sources in a control area to be estimated.