Authors:
Aicha Bareche
and
Djamil Aïssani
Affiliation:
University of Béjaïa, Algeria
Keyword(s):
Queueing Systems, Strong Stability, Approximation, Boundary Density Estimation, Student Test, Simulation.
Related
Ontology
Subjects/Areas/Topics:
Agents
;
Artificial Intelligence
;
Bioinformatics
;
Biomedical Engineering
;
Enterprise Information Systems
;
Information Systems Analysis and Specification
;
Methodologies and Technologies
;
Operational Research
;
Queuing Theory
;
Simulation
;
Stochastic Processes
Abstract:
We consider a statistical methodology for the study of the strong stability of the M/G/1 queueing system
after disrupting the arrival flow. More precisely, we use nonparametric density estimation with boundary
correction techniques and the statistical Student test to approximate the G/G/1 system by the M/G/1 one,
when the general arrivals law G in the G/G/1 system is unknown. By elaborating an appropriate algorithm,
we effectuate simulation studies to provide the proximity error between the corresponding arrival distributions
of the quoted systems, the approximation error on their stationary distributions and confidence intervals for
the difference between their corresponding characteristics.