Control of a two-level organization in stochastic conditions is considered on the basis of a rating of its lower-level element expenses. If the parameters of these stochastic expenses are known, the optimal bifurcation model is used for obtaining 2 ratings. If these parameters are unknown, the stochastic bifurcation procedure is used. More developed procedure for obtaining 4 ratings of expenses is called quartering. To build it, it is proposed to combine 2 stochastic bifurcation procedures using systems engineering. The quartering procedure thus obtained is used to control expenses of an active element in stochastic conditions. However, taking into account the lack of awareness of the governing body, the active element can manipulate expenses to maximize own goal function, which depends on the results of the quartering. This may result in an increase of the expenses of the active system. A formal method for solving this problem is proposed, based on the control non-expensive mechanism that includes both adaptive quartering and corresponding stimulation. The sufficient conditions are determined under which such adaptive mechanism diminishes the expenses of the active element. Procedures of such adaptive mechanism are applied to decreasing the expenses of railway locomotives overhaul.