Bean, Nigel G.; O’Reilly, Małgorzata M.; Palmowski, Zbigniew Matrix-analytic methods for the analysis of stochastic fluid-fluid models. (English) Zbl 1491.60126 Stoch. Models 38, No. 3, 416-461 (2022). MSC: 60J25 60J27 90B22 PDFBibTeX XMLCite \textit{N. G. Bean} et al., Stoch. Models 38, No. 3, 416--461 (2022; Zbl 1491.60126) Full Text: DOI arXiv
Bean, Nigel G.; Nguyen, Giang T.; Nielsen, Bo F.; Peralta, Oscar RAP-modulated fluid processes: first passages and the stationary distribution. (English) Zbl 1489.60128 Stochastic Processes Appl. 149, 308-340 (2022). MSC: 60J25 60G17 60K25 60J76 PDFBibTeX XMLCite \textit{N. G. Bean} et al., Stochastic Processes Appl. 149, 308--340 (2022; Zbl 1489.60128) Full Text: DOI arXiv
Bean, Nigel G.; O’Reilly, Małgorzata M.; Palmowski, Zbigniew Yaglom limit for stochastic fluid models. (English) Zbl 1522.60063 Adv. Appl. Probab. 53, No. 3, 649-686 (2021). MSC: 60J20 60J27 76M35 PDFBibTeX XMLCite \textit{N. G. Bean} et al., Adv. Appl. Probab. 53, No. 3, 649--686 (2021; Zbl 1522.60063) Full Text: DOI arXiv
Samuelson, Aviva; O’Reilly, Małgorzata M.; Bean, Nigel G. On the generalized reward generator for stochastic fluid models: a new equation for \(\Psi\). (English) Zbl 1395.60089 Stoch. Models 33, No. 4, 495-523 (2017). MSC: 60J27 PDFBibTeX XMLCite \textit{A. Samuelson} et al., Stoch. Models 33, No. 4, 495--523 (2017; Zbl 1395.60089) Full Text: DOI
Bean, Nigel G.; O’Reilly, Małgorzata M. The stochastic fluid-fluid model: a stochastic fluid model driven by an uncountable-state process, which is a stochastic fluid model itself. (English) Zbl 1346.60122 Stochastic Processes Appl. 124, No. 5, 1741-1772 (2014). MSC: 60J25 60J35 60G17 PDFBibTeX XMLCite \textit{N. G. Bean} and \textit{M. M. O'Reilly}, Stochastic Processes Appl. 124, No. 5, 1741--1772 (2014; Zbl 1346.60122) Full Text: DOI
Bean, Nigel G.; O’Reilly, Małgorzata M. A stochastic two-dimensional fluid model. (English) Zbl 1267.60082 Stoch. Models 29, No. 1, 31-63 (2013). MSC: 60J25 60G17 PDFBibTeX XMLCite \textit{N. G. Bean} and \textit{M. M. O'Reilly}, Stoch. Models 29, No. 1, 31--63 (2013; Zbl 1267.60082) Full Text: DOI
Bean, Nigel; Latouche, Guy Approximations to quasi-birth-and-death processes with infinite blocks. (English) Zbl 1209.60043 Adv. Appl. Probab. 42, No. 4, 1102-1125 (2010). MSC: 60J22 60J10 60J80 PDFBibTeX XMLCite \textit{N. Bean} and \textit{G. Latouche}, Adv. Appl. Probab. 42, No. 4, 1102--1125 (2010; Zbl 1209.60043) Full Text: DOI
Bean, Nigel G.; O’Reilly, Małgorzata M.; Taylor, Peter G. Hitting probabilities and hitting times for stochastic fluid flows: the bounded model. (English) Zbl 1162.76046 Probab. Eng. Inf. Sci. 23, No. 1, 121-147 (2009). Reviewer: P. R. Parthasarathy (Karlsruhe) MSC: 76M35 PDFBibTeX XMLCite \textit{N. G. Bean} et al., Probab. Eng. Inf. Sci. 23, No. 1, 121--147 (2009; Zbl 1162.76046) Full Text: DOI
Bean, Nigel G.; O’reilly, Małgorzata M.; Taylor, Peter G. Algorithms for the Laplace-Stieltjes transforms of first return times for stochastic fluid flows. (English) Zbl 1184.60027 Methodol. Comput. Appl. Probab. 10, No. 3, 381-408 (2008). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60J25 PDFBibTeX XMLCite \textit{N. G. Bean} et al., Methodol. Comput. Appl. Probab. 10, No. 3, 381--408 (2008; Zbl 1184.60027) Full Text: DOI
Bean, Nigel G.; Fackrell, Mark; Taylor, Peter Characterization of matrix-exponential distributions. (English) Zbl 1148.60005 Stoch. Models 24, No. 3, 339-363 (2008). MSC: 60E10 62E10 60E05 PDFBibTeX XMLCite \textit{N. G. Bean} et al., Stoch. Models 24, No. 3, 339--363 (2008; Zbl 1148.60005) Full Text: DOI
Bean, Nigel G.; O’reilly, Małgorzata M. Performance measures of a multi-layer Markovian fluid model. (English) Zbl 1145.60048 Ann. Oper. Res. 160, 99-120 (2008). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 60K30 PDFBibTeX XMLCite \textit{N. G. Bean} and \textit{M. M. O'reilly}, Ann. Oper. Res. 160, 99--120 (2008; Zbl 1145.60048) Full Text: DOI
Bean, Nigel G.; Kontoleon, Nectarios; Taylor, Peter G. Markovian trees: Properties and algorithms. (English) Zbl 1213.60133 Ann. Oper. Res. 160, 31-50 (2008). MSC: 60J80 05C05 PDFBibTeX XMLCite \textit{N. G. Bean} et al., Ann. Oper. Res. 160, 31--50 (2008; Zbl 1213.60133) Full Text: DOI
Bean, Nigel G.; O’Reilly, Małgorzata M.; Taylor, Peter G. Algorithms for return probabilities for stochastic fluid flows. (English) Zbl 1064.60162 Stoch. Models 21, No. 1, 149-184 (2005). MSC: 60J22 60J25 60G17 PDFBibTeX XMLCite \textit{N. G. Bean} et al., Stoch. Models 21, No. 1, 149--184 (2005; Zbl 1064.60162) Full Text: DOI