A biologically inspired fluid model of the cyclic service system
| Autor: | Aliya Kantarbayeva, Almaz Mustafin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Mathematical Modelling and Analysis, Vol 25, Iss 4 (2020) |
| Druh dokumentu: | article |
| ISSN: | 1392-6292 1648-3510 |
| DOI: | 10.3846/mma.2020.10801 |
| Popis: | A deterministic fluid model in the form of nonlinear ordinary differential 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 fixed point is given, particularly, how the arrival rate of new customers affects 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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