A Complex of Non-Stationary Queuing Systems Models with Phase-Type Distribution

A complex of new models of non-stationary queuing systems with finite source is presented. In contrast to traditional models of queuing theory the proposed models allow to describe the processes of customers servicing in the specified time interval under general assumptions on the time distribution between customer arrival and service. The article presents the principles of such models development, their graphical interpretation and formulae for computation of probabilistic and time characteristics as well as Chapman-Kolmogorov differential equations systems.