Journal of Applied Mathematics and Simulation
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.
Dshalalow, J. (1987). On a multi-channel transportation loss system with controlled input and controlled service. Journal of Applied Mathematics and Simulation, 1(1), 41.