Modeling and optimal dispatching of processes in production and logistics complexes

The paper regards the problem of maximizing the total volume of homogeneous products delivered from the point of production to the distribution center, in the presence of a significant number of practical restrictions on the schemes of technological cycles. Considered issue allows assessing the consequences of economic downturns, caused by the spread of infections. For this task, formalization is constructed in the form of a binary linear programming problem based on discretization of the planning horizon. The adequacy of the proposed formalization is illustrated by a test example of relatively small dimension. The main approaches are described that make it possible both to obtain an exact solution of the considered problem (for special cases) and to construct approximations.