manufacturing network design, mathematical modeling, lattice model, differential equations with delay, stationary states, logistics systems, dynamic systems
Abstract
The paper studies the mathematical modeling of production networks taking into account spatial structure and time delays. To describe logistics and production processes, a lattice model based on a system of differential equations with delay is proposed. The model allows taking into account the interaction between network nodes through the exchange of resources, as well as the processes of their processing into products. On its basis, possible modes of system operation are studied. In particular, stationary states are considered, which correspond to stable modes of operation of the production network. Their main types are determined and it is established that they are given as solutions of the corresponding system of equations. The results obtained create the prerequisites for further research into the stability of the system and numerical analysis of its behavior.
Author Biographies
N.V. Kit, Ternopil Ivan Puluj National Technical University, Ternopil
Postgraduate Student
A.S. Sverstiuk, Ternopil State Medical University by I.Ya. Horbachevsky, Ternopil
