Title: Nonparametric approximation of the characteristics of the D/G/1 queue with finite capacity

Authors: Faïrouz Afroun; Djamil Aïssani; Djamel Hamadouche

Addresses: Laboratory of Pure and Applied Mathematics, University of Tizi-Ouzou, 15000, Algeria ' Research Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, 06000, Algeria ' Laboratory of Pure and Applied Mathematics, University of Tizi-Ouzou, 15000, Algeria

Abstract: In this work, we consider the finite capacity of the D/G/1 queue. First, the modelling of the system in question by an embedded Discrete-Time Markov chain is considered. Secondly, the aim is to illustrate the use of the discrete kernel method for the estimation of the stationary characteristics of this chain, when the general distribution that governs it is an unknown function. To support and illustrate our proposals, two extensive simulation studies are carried out.

Keywords: deterministic queues; Markov chains; smoothing parameter; discrete kernels; errors; simulation.

DOI: 10.1504/IJCSM.2022.127803

International Journal of Computing Science and Mathematics, 2022 Vol.16 No.2, pp.170 - 180

Received: 03 Aug 2020
Accepted: 16 Sep 2020
Published online: 19 Dec 2022 *

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