Inégalités stochastiques pour le modèle d’attente M/G/1/1 avec rappels

Autor: Djamil Aïssani, Mouloud Cherfaoui, Mohamed Boualem, Natalia Djellab

Publikováno v: Afrika Matematika. 28:851-868

Dans ce travail, nous nous sommes focalises sur les proprietes de monotonie qui permettent d’etablir quelques bornes stochastiques utiles dans la comprehension de modeles compliques et leur remplacement par des modeles plus simples pour lesquels, u

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https://doi.org/10.1007/s13370-017-0492-x

Numerical solution for the performance characteristics of the M/M/C/K retrial queue with negative customers and exponential abandonments by using value extrapolation method

Autor: Natalia Djellab, Nesrine Zidani, Pierre Spiteri

Publikováno v: RAIRO-Operations Research
RAIRO-Operations Research, EDP Sciences, 2018, 53 (3), pp.767-786. ⟨10.1051/ro/2017059⟩
RAIRO Operations Research
RAIRO Operations Research, 2018

International audience; This paper deals with a retrial queuing system M/M/C/K with exponential abandonment at which positive and negative primary customers arrive according to Poisson processes. This model is of practical interest: it permits to ana

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https://hal.archives-ouvertes.fr/hal-02982558

On the performance of the M1,M2/G1,G2/1 retrial queue with pre-emptive resume policy

Autor: Leila Boutarfa, Natalia Djellab

Publikováno v: Yugoslav Journal of Operations Research, Vol 25, Iss 1, Pp 153-164 (2015)

Priority mechanism is an invaluable scheduling method that allows customers to receive different quality of service. Service priority is clearly today a main feature of the operation of any manufacturing system. We are interested by an M1,M2/G1,G2/1

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0d1e9e8c6699c79e3e5464c1fab0ac2
https://doi.org/10.2298/yjor130217001b

Stochastic Approximations and Monotonicity of a Single Server Feedback Retrial Queue

Autor: Djamil Aïssani, Natalia Djellab, Mohamed Boualem

Publikováno v: Mathematical Problems in Engineering, Vol 2012 (2012)

This paper focuses on stochastic comparison of the Markov chains to derive some qualitative approximations for anM/G/1retrial queue with a Bernoulli feedback. The main objective is to use stochastic ordering techniques to establish various monotonici

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https://doi.org/10.1155/2012/536982

Stochastic inequalities for M/G/1 retrial queues with vacations and constant retrial policy

Autor: Natalia Djellab, Djamil Aïssani, Mohamed Boualem

Publikováno v: Mathematical and Computer Modelling. 50:207-212

In this paper, we consider an M/G/1 retrial queue with vacations and we derive several stochastic comparison properties in the sense of strong stochastic ordering and convex ordering. The stochastic inequalities provide simple insensitive bounds for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::718837923a4a2773f3fa1d952f9c945b
https://doi.org/10.1016/j.mcm.2009.03.009