Abstract
This paper is concerned with the stochastic analysis of the departure and
quasi-input processes of a Markovian single-server queue with negative exponential arrivals and repeated attempts. Our queueing system is characterized by the
phenomenon that a customer who finds the server busy upon arrival joins an
orbit of unsatisfied customers. The orbiting customers form a queue such that
only a customer selected according to a certain rule can reapply for service. The
intervals separating two successive repeated attempts are exponentially distributed with rate