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Parametric optimization in a two criteria optimal control problem

Zilinskas A., Mackute-Varoneckiene A.

Systems Science

2008

Vol. 34, no 1

127-132

Several multicriteria optimization methods are compared using a practical optimal control problem from biotechnology as a test problem. 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. Several evolutionary multicriteria optimization algorithms and scalarization based direct search algorithms are considered. The methods are compared with respect to the precision and the solution time.