An unreliable optional stage M X ∕G∕1 retrial queue with immediate feedbacks and at most J vacations

Abstract

A repeated attempt queue with multistages of service and almost J vacations is investigated. Balking (or reneging) is applicable for customers. If the orbit is empty at service accomplishment time, the server takes at most J vacations. Busy server may fail for a short interval of time. Using supplementary variable technique, the steady results are deduced.