Logical network formalization of multiparameter technological processes

The article proposes a mathematical formalization of the optimization problem of designing multiparametric production processes, taking into account the availability of existing production lines, logistical and time factors. The purpose of the research is to develop a formalism combining elements of network theory, feedback control systems and a logical inference system for designing multiparametric production processes. The proposed methodology is based on flowcharts that are set at the inputs and recorded at the outputs of simulated production processes, called nodal elements. Each node element displays the corresponding technological or production processes, while the level of abstraction in the description of models may be different. The node elements are combined into a network, information flows circulate from the input elements of the network to the output ones, transforming incoming resources into final products. To plan multiparametric production processes, an algorithm for reverse identification of flowcharts has been proposed, which takes into account the requirements, available resources and existing technological maps. The proposed algorithm for the reverse calculation of flowcharts of production processes is similar to the algorithm for reverse error propagation, and homogeneous elements can be compared to formal neurons. The proposed approach is relevant for the organization and planning of decentralized industries and enterprises, where the factor of supply of raw materials, components, parts and other resources plays a key role.