On search for two criteria optimal control in a problem of biotechnology by means of parametric optimization

A problem of optimal control from biotechnology is considered. Two criteria are taken into account: yield of biomass and natural process duration. Theoretical analysis of the problem is difficult because of non-linearity of the process' model. The problem is reduced to a parametric optimization problem by means of parameterization of control functions, and criteria scalarization. It is shown that the problem can be efficiently solved, i.e. the Pareto set can be constructed, using a direct search method for opdmization of a scalarized criterionMatematikos ir informatikos institutasVytauto Didžiojo universiteta