A composite queue with vacation/set-up/close-down times for SVCC in IP over ATM networks

We consider a finite-capacity M/G/1/K queueing system with a mixture of the single vacation, close-down, and set-up times; arising out of the switched virtual channel connection (SVCC) mechanism for integer programming (IP) over an asynchronous transfer mode (ATM) network. Applying the supplementary variable approach, we derive the steady-state queue length and waiting time distributions, as well as the set-up occurring rate. Taking the limit of our results as the capacity (K) tends to infinity, we obtain the results for an infinite-capacity queueing system, covering the previous work by Hassan and Atiquzzaman as a special case.