An application of interactive multi-criteria optimization to air pollution control

In this paper a problem of air pollution control is studied, posing it as a multi-objective control problem of partial differential equations. The original problem, dealing with the optimal management of a set of industrial plants inside a populated area, is formulated by means of the diffusion tran...

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Bibliographic Details
Published in:Optimization Vol. 64; no. 6; pp. 1367 - 1380
Main Authors: Alvarez-Vázquez, L.J., García-Chan, N., Martínez, A., Vázquez-Méndez, M.E.
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 03.06.2015
Taylor & Francis LLC
Subjects:
Air pollution
Algorithms
Banach spaces
Effectiveness studies
Interactive
interactive multi-objective programming
Manufacturing engineering
Mathematical problems
Mathematical programming
Metropolitan areas
multi-objective control of partial differential equations
numerical simulation
optimal control
Optimization
Partial differential equations
Pollution control
Searching
Transport equations
Mexico
Guadalajara Mexico
ISSN:0233-1934, 1029-4945
Online Access:Get full text
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Summary:In this paper a problem of air pollution control is studied, posing it as a multi-objective control problem of partial differential equations. The original problem, dealing with the optimal management of a set of industrial plants inside a populated area, is formulated by means of the diffusion transport equation, including a linear reaction term and source terms modelled by Dirac deltas. Introducing adjoint state techniques, the problem transforms into a problem of multi-objective optimization in Banach spaces, where the large number of objective functions discourages the complete search of its Pareto front. Therefore, in order to solve the problem, two interactive methods of multi-objective programming are proposed: the VIA and the STEM algorithms. Finally, the paper illustrates how to combine both algorithms to solve in a more effective way a realistic problem posed in the Metropolitan Area of Guadalajara (Mexico).
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2014.951044