Probabilities of a lower-limit barrier in the problem of the identification of a barrier in the functioning of a certain inventory storage and issue system

The paper investigates a barrier in the functioning of certain inventory system. Assuming that the storage input is a non-aggregated dynamic-parameter process, the paper derives a system of differential equations satisfied by the probabilities of a lower-limit barrier in subsysyem L. The system of equations expresses relations between the distributions of the probability of the lower-limit barrier on the one hand and the parameters of the product supply process and the parameters of the functioning of the transport subsystem on the other hand.