An Unreliable Retrial Queue with Instant Feedback and Working Vacation

Abstract

In this work, a retrial queue with single server is addressed with different performance measure parameters, such as immediate respond feedback, working vacation and orbit search. The Probability Generating Function (PGF) of the retrial queuing system with various orbit size is studied by using Supplementary Variable Technique (SVT). The mathematical model is developed to measure mean system size and orbit size the under certain conditions. Special cases with suitable arrival and departure patterns are analysed.