Global Conference on Mathematics and Applications (GCMA)

This contribution investigates the asymptotic behavior of an M/G/1 retrial queue with priority customers, a Bernoulli service schedule, and general retrial times. We focus on the regime of low retrial rates and examine how the retrial mechanism influences the asymptotic characteristics of the system. Using the analytical framework developed for the underlying queueing model, we derive limiting results associated with the second asymptotic regime and identify the main parameters governing this behavior. Particular attention is given to the interaction between priority rules, general retrial-time distributions, and the service mechanism. The obtained results provide additional insight into the limiting structure of priority retrial queues and contribute to the asymptotic analysis of stochastic queueing systems. These findings may be useful for understanding the performance of systems in which blocked or delayed customers repeatedly attempt to access a shared service facility.