Stochastic programming methods in the response surface methodology

Considering the minimisation of an estimated second degree polynomial response surface model as a problem of stochastic programming, this article establishes the equivalent deterministic programs applying the so called E-model, V-model, P-model and minimax methods. Similarly, after observing that some of the solutions by the techniques of stochastic programming coincide with the solution of a multiobjective optimisation problem, this paper proposes two alternative methods for the solution of the stochastic optimisation of a second degree polynomial response surface model: (i) A lexicographic method, and (ii) A method based on distances. An example is solved by means of the described techniques.