Sygonyak I. Optimization models and methods of the innovation product introduction processes

The thesis is developed to the problems of social-economics processes modeling, namely to the modeling the innovation product introduction processes based on applying the modern methods of processing structured and non structured data, and the methods of the optimal control and decision making theory. The decision making support model for introducing innovative product into enterprises was built on the basis of innovative and decisions making processes analysis at the enterprises. The features of the quasilinear systems of the parabolic type equations solution are investigate for modeling the innovations introduction processes: the maximum principal for range investigation is proved for the two competing innovations system, the numerical algorithm is built for solving the task of innovations multidimensional diffusion optimal control. The numerical results are archived for the scenarios of the three competing innovations diffusion. The groups of linear and nonlinear models of the innovation life cycledynamic are investigate for threeleveled stratified systems of the basic of the Lotkа-Volterra equations system using the uncertainty removing methods. The optimal innovation project determination methodic is represented on thе basic of the Saaty's hierarchies analysis method, also the production-selling activities modeling method is represented in this paper. The decision support system working scenarios is determined and the system working algorithms are built with the use of UML. The systems program complex is realized in Borland Developer Studio 2006. The system correctness and reliability are confirmed by program complex testing on the enterprises conditionals. Keywords: innovation product life circle, hierarchical models, Lotka-Volterra system, quasilinear parabolic type equations system, optimal control, principle of maximum, uncertainty removing methods.