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The paper proposes an approach based on the DEA method (Data Envelopment Analysis) to a multi-criteria evaluation of a complex structured system for the processing of technogenic waste in the oil refining industry. The special algorithm is considered for assessing environmental safety and energy efficiency of operating waste processing system facilities, taking into account their resource value and reuse potential. According to the developed algorithm, five interconnected mathematical programming problems are solved. These problems formulated using CCR and Super-efficiency models of DEA method allow to obtain the assessments of the disposal system regarding the chosen efficiency criteria. A new approach to the analysis of the results on the basis of total effectiveness estimates using the Super-efficiency model of the DEA method is proposed. The results of testing the developed algorithm on an oil-containing waste processing system in the Samara region make it possible to form appropriate control decisions in the region’s oil refining industry.

In the present work we propose the method for the solution inverse heat conduction problem that consists of the identification of unknown internal heat source function depending simultaneously on space and time variables. The source function can be represented as a separable variable. We consider an inverse problem of determining the heat source function based on temperature measurements.Inverse problem is formulated as an optimization problem, a variational formulation for solving the optimization problem is given. The estimation of internal heat source is investigated with the analytical method combined with the method for approximate modal definition of temperature state and source function. The temperature state and desired control input are represented in the form of finite expansion in terms of orthogonal system of eigenfunctions. The required eigencoefficients of temperature state can be determined using temperature measurements. Then eigencoefficients of heat source function can be defined sequentially.Some numerical examples are provided to show the efficiency of the proposed method.

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