Optimization Problem in an Integral Model of the Developing System Without Prehistory
This paper addresses an integral model of the developing system consisting of elements of n age groups. The model is described by means of the Volterra equation of the first kind with variable limits of integration. The case is considered when the moment of the system origin coincides with the beginning of the modeling, therefore there is no prehistory and for t=0 all age groups of the elements are empty. Based on this model, we set the problem of optimizing the system age structure and the moment when the elements are decommissioned. In order to study a new integral model of developing systems as applied to the problem of forecasting the electric power system development, several model examples are considered. The results of numerical calculations are presented. They confirm the adequacy of the proposed model.
Библиографическая ссылка
Markova E.V., Sidler I.V. Optimization Problem in an Integral Model of the Developing System Without Prehistory // Communications in Computer and Information Science. Vol.1090. 2019. P.524-535. DOI: 10.1007/978-3-030-33394-2_40
