Abstract
This chapter discusses the nonlinear systems in semi-infinite programming. It illustrates the way in which semi-infinite programs arise from commonly used diffusion models in air pollution abatement studies. It also presents the way an optimal solution of a semi-infinite program can be constructed from the solution of a nonlinear system with a finite number of variables and equations. The number of unknowns is generally not given from the outset but must be determined from the solution of approximations to the original task D (semi-infinite program). The chapter also discusses the numerical treatment of the system constructed and presents that an arbitrarily good approximate solution of the convex semi-infinite program can be constructed using linear programming. It further discusses the determination of the form of a nonlinear system whose solutions are used to treat the original task.
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