The stability of a non-homogeneous queueing system with regenerative input

A queueing system with nonidentical service channels, a regenerative input, and a renewal service process at each channel is considered. The ergodic conditions are found when the basic process describing the system (and including the queue-size and the waiting time vector) is regenerative with finite expectation of the regeneration cycle length. The asymptotic properties of the embedded renewal process of the regeneration points are used. The zero-delayed and delayed cases are considered separately. Some queueing network applications are discussed.