Outer approximation algorithms to solve semi-infinite environmental pollution problems
Buitrago Suescún, Oscar Yecid
Show full item record
Show full item record
Citar con el siguiente link: http://hdl.handle.net/11323/2399
AbstractIntroduction− The traditional approaches of managing the integral estimation of a general function do no solve the prob-lem of fulfilling the constraints in each point of the domain. This is achieved through a semi-infinite formulation of the problem, in which there are great possibilities in modeling many practical situations of industrial ecology. Some of them are presented in this paper.Objective−Based on detailed studies (-), the aim of this research paper is to examine the mentioned studies in order to contribute to disseminate SIP (Semi-Infinite Programming) applications in environmental pollution control. Methodology−With regard to the numerical solution a sto-chastic outer approximation algorithm was used, in addition numerical experiments were performed in MATLAB. Results− The obtained results of this work have showed three patterns, the first one enhances the power of emitting pollution sources, taking into account the area landscape, the second one also enhances the power of pollution sources using wind displacement of emissions, finally the third pattern op-erates by improving the pollution of 3D areas between a group of emission sources and purifiers.Conclusions−In conclusion, it can be said that the issue of power from emitting pollution sources, by considering the area landscape and wind displacement of emissions, should be modeled such as a semi-infinite programming trouble. The method used to calculate the algorithm stopping criterion, does not interpret this solution as an additional problem.
Referencias:V.V. Fedosov and A. Fedossova, “Semi-infinite model limits emissions of enterprises in áreas with a mix landscapes” Jour. of Comp. & Inform. Tecnolog., vol. 86, no. 8, pp. 14-22, 2011. V.V. Fedosov and A. Fedossova, “Simulation control and limit industrial emissions in the presence of winds displacement”, Jour. of Comp. & Inform. Tecnolog., vol. 87, no. 9, pp. 29-35, 2011. V.V. Fedosov and A. Fedossova, “Numerical optimization of pollution in 3D área by groups of sources”, Nanoengineering, vol. 7, no. 37, pp. 43-48, 2014. M. Lopez and G. Still, “Semi-inﬁnite programming,” Eur. J. Oper. Res., vol. 180, pp. 491-518, 2007. https://doi.org/10.1016/j.ejor.2006.08.045 S. K. Zavriev, N.N. Novikova, and A.V., Fedossova, “Stochastic algorithm for solution of convex semi-infinite programming problem with equality and inequality constraints,” Vestnik Mosc. Univer., ser. 15, no. 4, pp. 30-35, 2000. I. Vaz and E. C. Ferreira, “Air pollution control with sem-iinﬁnite program,” Appl. Mathem. Model., vol. 33, pp. 1957-1969, 2009. https://doi.org/10.1016/j.apm.2008.05.008 A. Fuduli, M. Gaudioso, G. Giallombardo, and G. Miglionico, “ A partially inexact bundle method for convex semi-infinite minmax problems,” Commun. in Nonlin. Sc.and Numer. Simulation, vol. 21, no. 1, pp. 172-180, 2015. https://doi.org/10.1016/j.cnsns.2014.07.033 A. V. Fedossova, V.V. Kafarov, and D.P. Mahecha Bohórquez, “Solución Numérica del Problema de Control de Contaminación del Aire,” Colom. J. Comp., no. 4, pp. 21- 28, 2003. Y. V. Volkov and S.K. Zavriev, “A general stochastic outer approximations method,” SIAM J. Control Optim., vol. 35, pp. 1387-1421, 1997. https://doi.org/10.1137/S0363012994263202 A. Gómez Gómez, “Minimización de costos del control de contaminación del aire en un espacio tridimensional”, M.S. thesis, Math. Dept., Univ. Nac. De Colombia, Bogotá, Colombia, 2013. A Gomez, A Fedossova, R. A. Britto, “A numerical solution for the air pollution control problem in 3D”, DYNA, vol. 84, no. 200, pp. 342-350, 2017. https://doi.org/10.15446/dyna.v84n200.53883 F. Fang, T. Zhang, D. Pavlidis, C.C. Pain, A.G. Buchan, and I.M. Navon, “Reduced order modelling of an unstructured mesh air pollution model and application in 2D/3D urban street canyons,” Atmosph. Environ., vol. 96, pp. 96-106, 2014. https://doi.org/10.1016/j.atmosenv.2014.07.021 M. Fallah Shorshani, M. André, C. Bonhomme, and C. Seigneur, “Modelling chain for the effect of road traffic on air and water quality: Techniques, current status and future prospects,” Environ. Modelling & Software, vol. 64, pp. 102-123, 2015. https://doi.org/10.1016/j.envsoft.2014.11.020 V. V. Fedosov, A. Fedossova, “Optimización de emisiones de la red de carreteras de infraestructura urbana”, Ing. Ind., vol.38, no. 2, pp. 143-153, 2017.