THE SOLUTION OF THE CONTINUOUS OPTIMAL DECOMPOSITION PROBLEM WITH INCOMPLETE INITIAL DATA

A simple method taking indeterminacy into account is proposed for the problem of finding the optimal partition of a set in E(n) together with the subset centre of gravity distribution when information about the original data is incomplete. The method is based on changing the original stochastic problem into an equivalent deterministic problem, using only some subjective probabilistic characteristics of the random variables of the problem and then reducing the deterministic equivalent to the problem of finding the saddle point of a Lagrange functional.