Performance Analysis of Discrete – Time 〖Geo〗^x/ G/1 Retrial Queue – Two Vacation Types with Impatient Customers

Abstract

A Stochastic system where bulk (batch) of customers arrives according to a Geometric distribution retrial time follows a general distribution. We examine a retrial queueing system featuring two vacation types. This paper investigates a discrete – time  1 retrial queue under urgent and normal vacations with impatient customers. We attain some efficiency characteristics of the probability generating function and orbit size of the system.