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Boualem RABTA

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Important !!! Yahoo! has decided to close Geocities on october 26th, 2009. These pages have been transfered to http://www.sciencedz.net/brabta.

Research

Mathematics genealogy

I am interested in various fields of probability theory and its applications. In particular : Markov chains. Stability of stochastic models. Inventory control, Queuing networks, production systems,.. I'm participating to the research project: Keeping jobs in Europe

Thesis

B. Rabta. New conditions and new estimates for the stability of Markov chains. Application to stochastic inventory models (in french). Doctorate Thesis, University of Bejaia (Algeria), May 2nd, 2006 Abstract (Html) Résumé / Abstract (.pdf) B. Rabta. Strong stability in a stochastic inventory model (In french). Magister Thesis, University of Bejaia (Algeria),  October 23, 2002. Abstract (Html) Résumé / Abstract (.doc)

Published papers  MathSciNet   ZentralBlatt

1. B. Rabta and D. Aissani, (2008) Stability and prturbation bounds for discrete Markov chains. Linear Algebra and its Applications, 428 (8-9), 1921-1927 View online MR2401628 Zentralblatt Math    download preprint 1. B. Rabta and D. Aissani, (2005). Strong Stability in an (R,s,S) inventory model, International Journal of Production Economics, 97(2), 159-171. View online.  download preprint 2. B. Rabta and D. Aissani, (2005). Estimate of the Strong Stability in an (R,s,S) inventory model, Journal of Mathematical Sciences, 131(3), 5669-5673. View online    MR2186897 3. B. Rabta and D. Aissani, (2004). Stability analysis in an inventory model, Theory of Stochastic Processes, 10(26), N°3-4, 129-135. Zentralblatt Math. MR2329786 4. R. Meziani, S. Meziani, B. Rabta, K. Boukhetala et D. Aïssani. Place des institutions régionnales dans la mise en place et le développement d'un système national d'information. In the book : "Le système national d'information statistiques; état et perspectives". Cerist Edition, ISBN : 9961 809 025, pp. 119-140, 2006.  download preprint

Preprints

1. B. Rabta, Perturbed finite Markov chains. 2. B. Rabta and D. Aissani, Stability and prturbation bounds for geometrically ergodic Markov chains. 3. B. Rabta and D. Aissani, Inequalities for strongly v-stable Markov chains. 4. B. Rabta and D. Aissani, Perturbation of the order point in the (R,s,S) inventory model.

Conferences talks

Past conferences: B. Rabta and G. Reiner, Multiclass Queueing Networks Analysis by Aggregation, *rd International Conference on Mathematics and Statistics, Athens (Greece), 15-18 june 2009. B. Rabta and D. Aissani, Prturbation bounds for Markov chains with general state space, XXVIII International Seminar on Stability Problems for Stochastic Models, Zakopane (Poland), 1-5 june 2009.  B. Rabta, 2009, Perturbation results for comparison of Markov models, Proceedings of "5ème Colloque National d'Analyse Mathématique et Applications, CNAMA 5" Bejaia (Algeria), April 13-14, 2009, pp. 115-116. Download (.pdf) B. Rabta and D. Aissani, Stabilité forte et bornes de perturbation pour les chaines de Markov discretes, Colloque "Méthodes et Outils d'Aide à la Decision" MOAD'07, Béjaia, Novembre 2007. Click here for a list of my talks. Forthcoming conferences : B. Rabta, A review of decomposition methods for open queueing networks, (Accepted) B. Rabta, A. Alp and G. Reiner, Queueing Networks Modelling Software for Manufacturing, (Accepted)  B. Rabta, Determining optimal batch sizes by means of evolutionary algorithms and queueing networks analysis, (Accepted) B. Rabta, Approximations in queueing networks with batch arrivals and variable batch sizes (Accepted)

Unpublished documents

B. Rabta.  Gestion scientifique des stocks. Conférence donnée à l'invitation du Club Scientifique de Recherche Opérationnelle (SCOR). Université de Béjaia 13/03/2007. Exposé - Slides B. Rabta et A. Barèche. Planification d'expériences. Exposé, 2001. Download ( .pdf) B. Rabta et D. Dris. Processus de diffusion. Exposé, 2001. B. Rabta et H. Slimani. Le problème du Postier chinois. Exposé, 2001.