A multi-channel loss queueing system is investigated. The input
stream is a controlled point process. The service in each of m parallel
channels depends on the state of the system at certain moments of time
when input and service may be controlled. To obtain explicitly the
limiting distribution of the main process (Zt) (the number of busy
channels) in equilibrium, an auxiliary three dimensional process with
two additional components (one of them is a semi-Markov process) is
treated as semi-regenerative process. An optimization problem is
discussed. Simple expressions for an objective function are derived.