Open AccessA BIOLOGICALLY INSPIRED FLUID MODEL OF THE CYCLIC SERVICE SYSTEM
Author(s) -
A. Kantarbayeva,
Almaz Mustafin
Publication year - 2020
Publication title -
mathematical modelling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/mma.2020.10801
Subject(s) - queue , service (business) , nonlinear system , parametric statistics , mathematics , computer science , mathematical optimization , computer network , economics , statistics , physics , quantum mechanics , economy
A deterministic uid model in the form of nonlinear ordinary dierential equations is developed to provide the description for a multichannel service system with service-in-random-order queue discipline, abandonment and re-entry, where servers are treated like enzyme molecules. The parametric analysis of the model’s xed point is given, particularly, how the arrival rate of new customers aects the steady-state demand. It is also shown that the model implies a saturating clearing function (yield vs. demand) of the Karmarkar type providing the mean service time is much shorter than the characteristic waiting time.
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