On the basis of the criterion function analysis of the technological system and analysis of its active elements of a two-level hierarchal model of hydroabrasive cutting functioning, a procedure for the assessment of the efficiency control of technological system states has been developed, and in accordance with this procedure an efficiency criterion has been further proposed to show the impact of various technological factors upon the machining quality and productivity. A procedure for the

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... sment of efficiency control of the technological system states for the productivity increase has been developed; it involves assurance of a maximum value of a criterion function of the echnological system work allowing one to choose the most efficient technological parameters increasing the machining productivity at minimum energy consumption