Analysis of a stochasticclearing system with repeated attempts

Analysis on Operation of Anti-Virus Systems with Real-Time Scan and Batch Scan

“…The clearing signal resembles a batch scan in this paper, which clears all the viruses from an information system. In the literature related to queueing systems, a clearing signal is usually referred to as called disaster [11][12][13][14][15][16][17] , and also called mass exodus [18] , queue flushing [19] , catastrophes [20,21] , and stochastic clearing system [10,22] . Note that in the abovementioned research, clearing signals arrive at a system according to a Poisson process.…”

Computation of the limiting distribution in queueing systems with repeated attempts and disasters

“…A number of papers [3][4][5]15] have recendy appeared in the queueing literature in which a catastrophe removes all the work present in the system. These disasters can be view as a gênerai breakdown of the system so these models can be used to analyze computer networks with virus infections, and breakdowns due to a reset order.…”

“…2 for the model description). The particular case in which the input stream is an homogeneous Poisson process was introduced in [3] where the authors investigated the following features: a) the joint distribution of the server state and the number of customers in orbit in steady state, b) the joint distribution of a busy period and the number of service complétions and deleted customers, c) the waiting time for the case in which only the customer at the head of the retrial group is allowed for access to the server.…”

“…i) by providing a stable scheme for Computing the limiting distribution in a class of retrial queues which includes the System studied in [3], ii) by reducing the numerical efforts for analyzing the main performance characteristics.…”

“…The analysis of point a) in [3] was given in terms of generating fonctions where complex intégral formulae are involved. So our goal in this paper is to complete the investigation in a double sensé:…”