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• W3208675003 abstract "In this paper, the stability of the queueing system with the dropping function is studied. In such system, every incoming job may be dropped randomly, with the probability being a function of the queue length. The main objective of the work is to find an easy to use condition, sufficient for the instability of the system, under assumption of Poisson arrivals and general service time distribution. Such condition is found and proven using a boundary for the dropping function and analysis of the embedded Markov chain. Applicability of the proven condition is demonstrated on several examples of dropping functions. Additionally, its correctness is confirmed using a discrete-event simulator." @default.
• W3208675003 created "2021-11-08" @default.
• W3208675003 creator A5032297563 @default.
• W3208675003 date "2021-11-03" @default.
• W3208675003 modified "2023-10-18" @default.
• W3208675003 title "On the stability of queues with the dropping function" @default.
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• W3208675003 doi "https://doi.org/10.1371/journal.pone.0259186" @default.
• W3208675003 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/8565781" @default.
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• W3208675003 hasPublicationYear "2021" @default.
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