One approach in evaluating the overflow probability using the infinite fluid-flow queue

Autor:	Mihajlo Stefanovic, Branimir Trenkic
Rok vydání:	2011
Předmět:	Spectral approach Similarity (geometry) Fluid dynamics General Earth and Planetary Sciences Spectral analysis Queue Algorithm General Environmental Science Mathematics
Zdroj:	Facta universitatis - series: Electronics and Energetics. 24:1-8
ISSN:	2217-5997 0353-3670
DOI:	10.2298/fuee1101001t
Popis:	If it is going to have practical significance, the evaluation of overflow probabilities must be (1) precise, (2) computationally stable and (3) real time compatible. The existing approximation expressions are gotten by using the traditional fluid-flow analytic techniques, which are mostly based on spectral analysis. The limitation of this approach comes from numerical difficulties caries by the spectral approach. In this paper, we suggested a fluid-flow approach in evaluating the overflow probability, which fully satisfies the above stated criteria, and removes the numerical difficulties of existing methods. The authors approach is based on the renewal argument and exploiting the similarity between fluid queues and Quasi-Birth-and-Death (QBD) processes.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2d913b9be8793de9f3340bd15b74ad0a https://doi.org/10.2298/fuee1101001t Zobrazit plný text záznamu