MAP/PH/1 queues with level-dependent feedback and their departure processes

David A Green,

Department of Applied Mathematics,

The University of Adelaide,

5005, Australia.

Abstract

A family of approximations to the departure process from the MAP/PH/1 queue was proposed and demonstrated in Bean, Green and Taylor. In this paper we extend these models to the departure process of a MAP/PH/1 feedback queue, where the probability of feedback may be level-dependent