Outrunning planning by network management in Industry 4.0 concept

Abstract

Abstract You need a digital twin to solve the problem of efficient planning in Industry 4.0. It is based on the use of scientifically proved algorithms and complicated mathematical models. The current trend for the consolidation of engineering enterprises in network structures is caused by the competition in this segment of production. Those business participants, who apply the latest solutions to the support planning based on artificial intelligence systems will get the advantage. A spectral approach is presented in the problem of finding approximations of the eigenvalues of the Sturm-Leewill problem with an unknown operator. The approach is based on the spectral features of the elliptic operator of the initial-boundary objective and the method for solving the inverse spectral objective of reconstructing the Sturm-Leewill operator by two sequences of eigenvalues matching two sets of boundary conditions. The method, presented in this article can be successfully used in the objectives of optimal controlling. The obtained results are fundamental in solving the objectives of optimal controlling by evolutionary systems in networks and the analysis of network models.