%0 Journal Article %A Kiseleva, Elena M. %A Zhiltsova, Alexandra A. %A Stroyeva , Viktoriya A. %D 2012 %I Begell House %K optimality conditions, optimal set partitioning, subset center arrangement, set function theory. %N 9 %P 51-65 %R 10.1615/JAutomatInfScien.v44.i9.50 %T General Scheme to Obtain Necessary Optimality Conditions for Continuous Optimal Set Partitioning Problems %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,14f071b7327b91d6,3690541b34ff4608.html %V 44 %X General continuous deterministic multiproduct optimal set partitioning problems are formulated in terms of the set function theory. The problems with constraints in the form of inequalities and those with constraints in the form of both equalities and inequalities are considered. For these problems, the necessary optimality conditions are obtained both in the general and constructive form, which can be easily applied to the specific classes of problems. The theorems application is illustrated by example of deterministic multiproduct nonlinear optimal set partitioning problem with the subset center arrangement and constraints in the form of equalities and inequalities. %8 2012-11-12