Sojourn Time in a Markov Driven Fluid Queue with Finite Buffer

Eleonora Deiana; Guy Latouche; Marie Ange Remiche

doi:10.1007/978-3-031-43185-2_7

Sojourn Time in a Markov Driven Fluid Queue with Finite Buffer

Eleonora Deiana, Guy Latouche, Marie Ange Remiche

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution

Abstract

We consider here a Markov-driven finite fluid queue: the buffer content is limited to the interval [0, B], with B< ∞. This implies that at full capacity, entering fluid might be lost. We are interested in computing the sojourn time distribution.The lost of fluid at full capacity needs to be taken into account in order to extend the two step approach used in Deiana et al. in [3].

Original language	English
Title of host publication	Computer Performance Engineering and Stochastic Modelling - 19th European Workshop, EPEW 2023, and 27th International Conference, ASMTA 2023, Proceedings
Editors	Mauro Iacono, Marco Scarpa, Salvatore Serrano, Francesco Longo, Enrico Barbierato, Davide Cerotti
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	96-110
Number of pages	15
ISBN (Print)	9783031431845
DOIs	https://doi.org/10.1007/978-3-031-43185-2_7
Publication status	Published - 2023
Event	27th International Conference on Analytical and Stochastic Modelling Techniques and Applications, ASMTA 2023 and 19th European Performance Engineering Workshop, EPEW 2023 - Florence, Italy Duration: 20 Jun 2023 → 23 Jun 2023

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	14231 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	27th International Conference on Analytical and Stochastic Modelling Techniques and Applications, ASMTA 2023 and 19th European Performance Engineering Workshop, EPEW 2023
Country/Territory	Italy
City	Florence
Period	20/06/23 → 23/06/23

Keywords

Markov-driven fluid queue with finite capacity
regenerative instants
sojourn time distribution

Access to Document

10.1007/978-3-031-43185-2_7

Cite this

Deiana, E., Latouche, G., & Remiche, M. A. (2023). Sojourn Time in a Markov Driven Fluid Queue with Finite Buffer. In M. Iacono, M. Scarpa, S. Serrano, F. Longo, E. Barbierato, & D. Cerotti (Eds.), Computer Performance Engineering and Stochastic Modelling - 19th European Workshop, EPEW 2023, and 27th International Conference, ASMTA 2023, Proceedings (pp. 96-110). Article 10.1007/978-3-031-43185-2_7 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14231 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-43185-2_7

Deiana, Eleonora ; Latouche, Guy ; Remiche, Marie Ange. / Sojourn Time in a Markov Driven Fluid Queue with Finite Buffer. Computer Performance Engineering and Stochastic Modelling - 19th European Workshop, EPEW 2023, and 27th International Conference, ASMTA 2023, Proceedings. editor / Mauro Iacono ; Marco Scarpa ; Salvatore Serrano ; Francesco Longo ; Enrico Barbierato ; Davide Cerotti. Springer Science and Business Media Deutschland GmbH, 2023. pp. 96-110 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Deiana, E , Latouche, G & Remiche, MA 2023, Sojourn Time in a Markov Driven Fluid Queue with Finite Buffer. in M Iacono, M Scarpa, S Serrano, F Longo, E Barbierato & D Cerotti (eds), Computer Performance Engineering and Stochastic Modelling - 19th European Workshop, EPEW 2023, and 27th International Conference, ASMTA 2023, Proceedings., 10.1007/978-3-031-43185-2_7, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 14231 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 96-110, 27th International Conference on Analytical and Stochastic Modelling Techniques and Applications, ASMTA 2023 and 19th European Performance Engineering Workshop, EPEW 2023, Florence, Italy, 20/06/23. https://doi.org/10.1007/978-3-031-43185-2_7

Sojourn Time in a Markov Driven Fluid Queue with Finite Buffer. / Deiana, Eleonora ; Latouche, Guy ; Remiche, Marie Ange.
Computer Performance Engineering and Stochastic Modelling - 19th European Workshop, EPEW 2023, and 27th International Conference, ASMTA 2023, Proceedings. ed. / Mauro Iacono; Marco Scarpa; Salvatore Serrano; Francesco Longo; Enrico Barbierato; Davide Cerotti. Springer Science and Business Media Deutschland GmbH, 2023. p. 96-110 10.1007/978-3-031-43185-2_7 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 14231 LNCS).

Research output: Contribution in Book/Catalog/Report/Conference proceeding › Conference contribution

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AB - We consider here a Markov-driven finite fluid queue: the buffer content is limited to the interval [0, B], with B< ∞. This implies that at full capacity, entering fluid might be lost. We are interested in computing the sojourn time distribution.The lost of fluid at full capacity needs to be taken into account in order to extend the two step approach used in Deiana et al. in [3].

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Deiana E , Latouche G , Remiche MA. Sojourn Time in a Markov Driven Fluid Queue with Finite Buffer. In Iacono M, Scarpa M, Serrano S, Longo F, Barbierato E, Cerotti D, editors, Computer Performance Engineering and Stochastic Modelling - 19th European Workshop, EPEW 2023, and 27th International Conference, ASMTA 2023, Proceedings. Springer Science and Business Media Deutschland GmbH. 2023. p. 96-110. 10.1007/978-3-031-43185-2_7. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-43185-2_7

Sojourn Time in a Markov Driven Fluid Queue with Finite Buffer

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