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

作者：Alvarez Vazquez L J; Garcia Chan N; Martinez A; Vazquez Mendez M E^*

来源：Optimization, 2015, 64(6): 1367-1380.

DOI：10.1080/02331934.2014.951044

• optimal control
• numerical simulation
• interactive multi-objective programming
• multi-objective control of partial differential equations
• air pollution
• 49J20
• 90B50
• 90C29

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).

• 出版日期2015-6-3