In this paper, we investigate the fuzzy logic based system characteristics of MX/G/1 retrial queuing system with Bernoulli vacation schedule. The service time and vacation time are assumed to be generally distributed. It is found in many practical situations that the queuing models with fuzzy parameters are much more realistic than the classical crisp parameters based queuing models. We have...

In this paper we are reviewing the retrial queue with two-way communication and Poisson arrival process. If the server free, incoming call occupies it. The call that finds the server being busy joins an orbit and retries to enter the server after some exponentially distributed time. If the server is idle, it causes the outgoing call from the outside. The outgoing call can find server free, then...

This paper deals with the transient analysis of batch arrival retrial queueing system with general retrial times, priority service, balking, second optional service, Bernoulli vacation, extended vacation, breakdown, delayed repair and stand by server. Here we assume that customers arrive in batches according to compound Poisson processes, where the blocked customers either with probability p jo...

ABSTRACT In this paper, we represent the classical Engset-loss model by the congestion process of the system, and establish a fluid limit result for all the possible values of the various parameters. We extend this result to particular cases of finite-source retrial queues. We finally complete this study by presenting several fluid limits for additive functionals of the processes under consider...

Data on the Internet is sent by packets that go through a network of routers. A router drops packets either when its buffer is full or when it uses the Active Queue Management. Up to the present, majority of the Internet routers use a simple DropTail strategy. The rate at which a user injects the data into the network is determined by Transmission Control Protocol (TCP). However, most connectio...

Retrial queues can only be solved in a closed form in very few and simple cases, so researchers must resort to approximate models. However, most of the papers that propose approximate models assume the convergence of the proposed models to their exact counterparts, without providing a rigorous mathematical proof. In this paper we demonstrate the convergence of finite truncated models with two r...

We propose a novel methodology for solving retrial systems which is based on the aggregation of levels of the Markov model beyond a given one. Its evaluation concludes that is more accurate than previous approximations while requiring a low computational cost.