The deficit and the overfilling in a system of ,,Transport–Reserves” type with multi-component non-homogenous transportation

An S-T-R system (Sender–Transportation–Receiver) with multi-component continuous transportation is considered. Until now systems of this type were studied in which damage parameters of separate units of transportation were identical (so-called homogenous transportation). In this paper, the units are characterized by the damage parameters which have different values (so-called non-homogenous transportation). Their functioning is modeled by using stationary and homogenous Markov processes. Moreover, these units are connected in series at so-called reversal points. At one of these points, a reservoir of finite capacity is placed. The influence of the system configuration (i.e., location of the reservoir and arrangement of the specific transport subsystems) in relation to the volume of losses caused by randomly arising adverse events such as overflow or deficit of resources in the reservoir is analysed. The coefficients of deficit and overfilling of the reservoir, that were described in the authors’ earlier papers, are used in simulation studies. A number of conclusions have been drawn, which can be used for the purpose of optimal control of existing systems of this type or in designing new systems.