Time-dependent performance evaluation for loss-waiting queues with arbitrary distributions

This paper presents an analytical approach to evaluate queues with time-dependent, generally distributed inter-arrival times, generally distributed service times, and finite buffer capacities. A stationary backlog carryover (SBC) approach is developed to analyse the probability of blocking and other time-dependent performance measures. We further improve the general SBC approach by the analysis of load-dependent period lengths used in the approximation. The numerical study shows that this approach is very accurate for both transient and time-dependent loss-blocking systems.