Prof. Amar Aissani
Universit´e des Sciences et de la Technologie Houari Boumediene, Algeria
Title: Queueing Theory versus Reliability Theory: A Case Study for Education and Research in Mathematics, Computer Science and Electrical Engineering
Abstract:
Queueing Theory and Reliability Theory are two fields of Applied Mathematics on the boundary of Probability Theory and Operations Research.
Although these topics have been developed independently, we show here how the results of each topic can be of help to each other, and also help to the mother topic i.e. Mathematics.
In particular, we show how Non Parametric Probability Distributions (Reliability or Ageing Distributions) can be used to compare (stochastically) models of queueing systems or to obtains stochastic or deterministic bounds on the performance measures of Queueing systems and/or Reliability Systems.
We also discuss the interest of Queueing and/or Reliability models to the actually emerging topic of computer security.
Keywords— Performance Evaluation; Reliability; Queueing Systems; Stochastic Ageing; Stochastic Processes, Computer Security.
Biography:
Aissani Amar, RIIMA Laboratory
(Research in Intelligent Informatics, Mathematics and Applications), Department
of Artificial Intelligence & Data Science, Faculty of Computer Science, University
of Science &Technology Houari Boumediene (USTHB), Algeria
amraissani@yahoo.fr ,
aaissani@usthb.dz, aissaniamar8@gmail.com
https://orcid.org/0000-0003-0567-6942
,
https://www.adscientificindex.com/scientist/amar-aissani/103715
,
https://www.semanticscholar.org/author/Amar-Aissani/1686496
,
https://dblp.org/pid/25/185.html
Books
1.Aissani A. , Stochastic
Models of Relability Theory, OPU, Algier, 1992.
Aissani A. Modelling and
Simulation et Simulation, OPU,Algiers, 1st ed. 2007, 2nd Edition 2010. 3rd
edition 2022. https://opu.dz/fr/Auteur/amar-aissani
2.Medvediev G.A.,Dudin
A.N., Melenets Y.V., Practicum Informatique de Théorie
des Files d’Attente, OPU, Alger, 2007. Traduction
from Russian by A. Aissani.