Sponsors: Mathematics and its Applications in Technology.

This document discusses the N-policy for M/G/1 priority retrial queue with working vacations. The authors use the probability generating function (PGF) technique and the supplemental variable method to obtain the number of customers in the system and its orbit. They also derive the mean queue length of the system and orbit. The results of this study have applications in telephone consultation and telecommunications systems for medical service systems. The authors acknowledge the editor and referees for their suggestions in improving the paper. [Extracted from the article]