For a high-tech enterprise of an innovation-oriented cluster, an applied automated information system was needed to support decision-making in economic problems. In the research, requirements were formed for such a system. The target function of the efficiency of business process management of innovative projects was formed. The function is based on an original economic and mathematical model reflecting the special characteristics of an enterprise’s project activities. A sequence of steps for the implementation of the model was formed. An algorithm to calculate the integral result of the project was proposed. A set of indicators has been identified that helps in assessing the reliability of the relationship management system of a high-tech enterprise with consumers and suppliers. An algorithm for implementing a model of relationships between a high-tech enterprise and consumers of product innovations and resource suppliers was proposed. A software application that provides the choice of the best design solutions was developed. A user interface containing a set of windows reflecting the results of implementing the algorithm for introducing and correcting the initial data was designed. A graphical interpretation of the calculation results is proposed, providing for the display of the results and the happened errors.

For high tech enterprise manufacturing subdivisions production optimization challenge has been defined. Mathematical models have been developed. Implementing model algorithms have been researched. A step-by-step mechanism for algorithm implementation based on Johnson’s method is proposed. Developed models have been tested at the enterprises of the innovation-oriented cluster. Model of setting the economically feasible limits of process operations (performed on technological equipment of established manufacturing subdivisions) robotization has been developed

A mathematical tool for modeling the optimal set of the robotic elements at the cluster member enterprise is proposed. The necessary and sufficient conditions of the robotassisted technological equipment with the minimal resource idle time are formulated. The problem of minimizing technological downtime while robotic services a parallel working technological equipment is solved. The mathematical apparatus is proposed for calculating the duration of technological equipment servicing by robotic for proportional operations. At the stage of robotic elements design and operation the problem of organizing was solved for the clustermember enterprises. At the design stage the problem solution consists in finding the best option of the technological equipment deployment in the robotic elements sectors so that the only one robot services each element. The features of the solution problems using manipulator-type robotics are detected. At the stage of robotic elements operation, the problem solution involves the development of optimal option if the set operations for the designed elements. Algorithms for solving combinatorial problems of design and operation robotic elements are developed for a cluster-member enterprise. The computational mechanism of creating and using robotic elements allowing reduce time needed to obtain combinatorial problems solutions is proposed for a clustermember enterprise. In this mechanism, the task of splitting a given set of equipment into robotic elements is replaced by the task of sequentially extracting elements from the set of equipment in the production system of a cluster-member enterprise. The developed methods form the basis of the software package supporting solutions in the scope of robotic elements design and using for an engineering cluster enterprise.

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Financial Systems and Financial Engineering plays an important role in modern Systems Theory. In Systems Theory, the planning and informatization issues concerning project management processes in high-tech enterprises have been considered. The network model role in organizing the intellectual resource management of an innovative project was investigated. A set of heuristic preference rules for organizing project management under conditions of limited intellectual resources available for the project was developed. An algorithm for constructing an implementation schedule for an innovation project as well as for estimating the dynamics of resource consumption and loss depending on the presence or absence of constraints on the project intellectual resource value was proposed. A description is given for a software product created by the authors, providing support for decisions made by the high-tech enterprise management at the stage of project operational and calendar planning of its intellectual resources.