Air pollution control problems can be formulated as a semi-infinite
programming (SIP) problem and we describe three main approaches.
The first consists in optimizing an objective function while the pollution
level in a given region is kept bellow a given threshold. In the second
approach the maximum pollution level in a given region is computed and
in the third an air pollution abatement problem is considered. These
formulation allow to obtain the best control parameters and the maxima
pollution positions, where the sampling stations should be placed.
To illustrate this idea, the (SIP)AMPL modeling language was used
to code three academic problems. The SIPAMPL software package includes
an interface to connect AMPL to any SIP solver, in particular to
the NSIPS solver. Numerical results are shown with the discretization
method, implemented in the NSIPS solver and it proved to be efficient
in solving the proposed problems
