R. B. Lenin

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This paper presents an algorithmic procedure to calculate the delay distribution of (im)patient customers in a discrete time D-MAP/PH/1 queue, where the service time distribution of a customer depends on his waiting time. We consider three different situations: impatient customers in the waiting room, impatient customers in the system, that is, if a(More)
In this paper, we present a complete framework for modeling and analysis of Mobility in Wireless Sensor Networks using OQNs with <i>GI/G</i>/1 nodes and single-class customers. We formalize and present three variations - gated queues, intermittent links and intermittent servers. We suitably modify and use the Queuing Network Analyzer (QNA) to study(More)
A statistical multiplexer is a basic model used in the design and the dimensioning of ATM networks. The multiplexer model consists of a single server queue with constant service time and a more or less complicated arrival process. The aim is to determine the packet loss probability as a function of the capacity of the buffer. In this paper, we show how(More)
Open-source software projects are characterized by their loose management property. Most of the activities of their developers are voluntary instead of mandatory. Compared to closed-source software projects, open-source projects are less dependent on external turbulence, but more on its own structure and operation mechanism. In this paper, we assume that(More)
Time dependent system size probabilities of a birth and death process related to the Rogers-Ramanujan continued fraction are obtained. The range for the parameter in this continued fraction is obtained to ensure the positivity of the recursively deened birth and death rates. The general behavior of the birth and death rates is described and the asymptotic(More)
ÐClosed Markovian networks of queues with multiclass customers and having a product form equilibrium state probability distribution are useful in the performance evaluation and design of computer and telecommunication systems. Therefore, the efficient computation of the normalizing function, the key element of the solution in product form, has attracted(More)
We obtain the spectral representation of the transition probabilities of four particular finite birth and death processes in terms of finite systems of classical orthogonal polynomials. The explicit knowledge of these orthogonal polynomials and their roots allows us to study the asymptotic behaviour of the processes as time tends to infinity, including(More)