Kernel density in the study of the strong stability of the M/M/1 queueing system

Authors:
AïCha Bareche;Djamil AïSsani
Affiliations:
Laboratory of Modelization and Optimization of Systems (LAMOS), University of Béjaïa, Béjaïa 06000, Algeria;Laboratory of Modelization and Optimization of Systems (LAMOS), University of Béjaïa, Béjaïa 06000, Algeria
Venue:
Operations Research Letters
Year:
2008

Citing 0
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Abstract

We use kernel density with correction of boundary effects to study the strong stability of the M/M/1 system after perturbation of arrival flow (respectively service times), to evaluate the proximity of G/M/1 (respectively M/G/1) and M/M/1 systems when the distribution G is unknown. Simulation studies are performed to support the results.