A biologically inspired fluid model of the cyclic service system

• Published in: Mathematical modelling and analysis Vol. 25; no. 4; pp. 505 - 521
• Main Authors: Kantarbayeva, Aliya, Mustafin, Almaz
• Format: Journal Article
• Language: English
• Published: Vilnius Vilnius Gediminas Technical University 13.10.2020
• Subjects: abandonment; clearing function; Commodities; Differential equations; Enzymes; multiple server; Operations research; Parametric analysis; Production functions; Production planning; random order service; re-entry; fluid queues; re-entry; random order service; clearing function; fluid queues; abandonment; multiple server

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 analys...