In this paper, we consider retrial queueing systems with batch arrivals in which the server is subject to controllable interruptions (called vacations) and random interruptions (breakdowns). No specific assumption is taken regarding probability distributions of parametric random variables. The purpose of this work is to show effect of above mentioned parameters (in particular retrial and breakd...

We study an M/M/2 queueing system with two heterogeneous servers under a variant vacation policy, where the two servers may take together at most J vacations when the system is empty. A quasi-birth-and-death process is formulated to analyze the system. We obtain the explicit expressions of the stationary distribution of the system size and the mean system size. We also show that the number of v...

Abstract This paper is concerned with the analysis of an infinite-capacity batch arrival multi-server queueing system Bernoulli feedback, synchronous multiple and single working vacation policies, waiting servers, reneging retention reneged customers. The steady-state solution obtained by using probability generating function (PGF). In addition, important performance measures are derived. Then,...

In this paper, an M/G/1 queue model with the multiple adaptive vacations and pure decrementing service policy is studied based on the classical M/G/1 queueing model. The PGF of stationary queue length is derived by using an embedded Markov chain method. The LST of stationary waiting time is also given according to the independence between waiting time and arrival process. The average probabilit...

In many practical situations one can observe that the leaving batch of customers may request for re-service. Avi Itzhak and Naor (1963) have analyzed an M/G/1 queueing model with repair of service station on request by a leaving customer. Rosenberg and Uri Yechiali (1993) analyzed a bulk arrival general service single server queue with single and multiple vacations under LIFO service regime. Hu...

In this paper we propose a model-based admission control scheme for maintaining QoS of voice traffic over DiffServ networks. This CAC approach implies two main components. The first one is the application of the NJ (Negligible Jitter) conjecture extended to the case of heterogenous variable bit rate voice sources. The second one is the analysis of a finite queueing system with exhaustive servic...

Abstract In this paper, we present an analysis for a general limited service Geom/G/1 queue model with multiple adaptive vacations (MAVs). The Probability Generating Function (P.G.F.) of the queue length is obtained by using an embedded Markov chain with a regeneration cycle approach. The P.G.F. of the waiting time is also derived based on the independence between the arrival process and the wa...

This paper analyzes a discrete-time batch arrival queue with working vacations. In a GeoX/G/1 system, the server works at a lower speed during the vacation period which becomes a lower speed operation period. This model is more appropriate for the communication systemswith the transmit units arrived in batches.We formulate the system as an embeddedMarkov chain at the departure epoch and by theM...