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Density conditional mode estimate of GI or GI or N Queueing Model

Mohamed Mehdi Hamri, Mustapha Meghnafi, Abbes Rabhi


In this paper, we consider a FCFS GI=GI=N queueing model (N > 1) , we are interested in estimating the modes of a conditional density of a chain of synthetic Markov included resulting from this queueing model. With this intention, one gives initially a functional estimator of the density of the operator of transition while improving certain results due to Laksaci, A. Yousfate, A. (2002). Then, under not very restrictive conditions, we study the property of the estimator of the conditional mode. Finally we give general expressions of the laws which intervene in the study to facilitate simulation.


Ergodic Markov chain, Markovian semi processes, transition operator, conditional mode, queueing models.

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