Evaluation of Steady State Probabilities of the • / G / ∞ Queuing System for Different Input Flow Models

Five input flow models are considered whose structures are considerably more complicated than a Poisson structure and in which steady state probabilities of the •/ G / ∞ queuing system can be found in explicit form (the Poisson distribution). For these models, a combination of the Poisson distributi...

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Bibliographic Details
Published in:Cybernetics and systems analysis 2017-03, Vol.53 (2), p.269-279
Main Authors: Kuznetsov, I. N., Shumskaya, A. A.
Format: Article
Language:English
Subjects:
Analysis
Artificial Intelligence
Control
Flow (Dynamics)
Markov processes
Mathematics
Mathematics and Statistics
Processor Architectures
Software Engineering/Programming and Operating Systems
Systems Theory
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Summary:Five input flow models are considered whose structures are considerably more complicated than a Poisson structure and in which steady state probabilities of the •/ G / ∞ queuing system can be found in explicit form (the Poisson distribution). For these models, a combination of the Poisson distribution (the analytical part) and statistical simulation (the statistical part) allows one to evaluate steady state probabilities by accelerated simulation. The accuracy of the obtained estimates is illustrated by numerical examples.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-017-9927-5