MEAN VALUE ANALYSIS OF SINGLE SERVER RETRIAL QUEUES

Mean Value Analysis of Single Server retrial Queues

Mean value analysis is an elegant tool for determining mean performance measures in queueing models. We use the technique to analyze the M/G/1 retrial queue with exponential retrial times. We also show how the relations can be adapted to obtain mean performance measures in more advanced M/G/1-type retrial queues.

A note on Infinite-Server Markov modulated and Single-Server retrial Queues

We reconsider the M/M/∞ queue with two-state Markov modulated arrival and service processes and the singleserver retrial queue analyzed in Keilson and Servi [1]. Fuhrmann and Cooper type stochastic decomposition holds for the stationary occupancy distributions in both queues ([1] and [2]). The main contribution of the present paper is the derivation of the explicit form of the stationary system...

Algorithmic approach to Markovian multi-server retrial queues with vacations

There are many practical situations that have both features of customer retrials and server vacations. The vacation policy is characterized by the vacation startup rules and vacation termination rules. The queueing system with retrials and vacations has been described in variety of ways according to the vacation rules and retrial policies such as constant retrial policy and linear retrial polic...

Retrial Queues with Server Subject to Breakdowns and Repairs

stationary single-server queues

This paper complements two previous studies (Daley and Rolski, 1984, 199 1) by indicating the extent to which characteristics of a general stationary point process taken as the arrival process of a single-server queue influence light traffic limit theorems for the two essentially distinct schemes of dilation and thinning as routes to the limit. Properties of both the work-load and the waiting-t...