Application of Modified Hooke–Jeeves Method for Multi-Objective Optimization

Abstract

The task of multi-objective constrained optimization of chrome tanning of semi-finished leather applying the Hooke–Jeeves method is solved. The optimality criterion is formulated in the form of a generalized additive objective function. Local criteria for the objective function are normalized and nondimensionalized. The weighting parameters are obtained on the basis of professional assessments. The algorithm of the modified Hooke–Jeeves method is the basis for the software module, which is implemented using object-oriented programming language Visual Basic for Application. The possibility to work with explicit and implicit constraints in the software module is provided. The developed software module is used to find the optimal values of the generalized objective function. For a low-waste technology of chrome tanning of semi-finished leather with dry chrome tanning agent its mathematical description is obtained and its constraints on the technological parameters of the process are determined. The optimization problem of the dry chrome tanning of semi-finished leather process is solved and the optimal values of the parameters of the tanning process are determined.