Bachi, Katia; Abbas, Karim; Heidergott, Bernd Statistical Taylor series expansion: an approach for epistemic uncertainty propagation in Markov reliability models. (English) Zbl 1472.60124 RAIRO, Oper. Res. 55, Suppl., S593-S624 (2021). MSC: 60J22 41A58 60K10 PDFBibTeX XMLCite \textit{K. Bachi} et al., RAIRO, Oper. Res. 55, S593--S624 (2021; Zbl 1472.60124) Full Text: DOI
Fu, Michael C.; Heidergott, Bernd; Leahu, Haralambie; Vázquez-Abad, Felisa J. Differentiation via logarithmic expansions. (English) Zbl 1432.90148 Asia-Pac. J. Oper. Res. 37, No. 1, Article ID 1950034, 13 p. (2020). MSC: 90C31 PDFBibTeX XMLCite \textit{M. C. Fu} et al., Asia-Pac. J. Oper. Res. 37, No. 1, Article ID 1950034, 13 p. (2020; Zbl 1432.90148) Full Text: DOI arXiv
Ouazine, Sofiane; Abbas, Karim; Heidergott, Bernd The Taylor series expansions for performance functions of queues: sensitivity analysis. (English) Zbl 1390.60335 Dudin, Alexander (ed.) et al., Analytical and stochastic modeling techniques and applications. 20th international conference, ASMTA 2013, Ghent, Belgium, July 8–10, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-39407-2/pbk). Lecture Notes in Computer Science 7984, 1-11 (2013). MSC: 60K25 PDFBibTeX XMLCite \textit{S. Ouazine} et al., Lect. Notes Comput. Sci. 7984, 1--11 (2013; Zbl 1390.60335) Full Text: DOI
Abbas, Karim; Heidergott, Bernd; Aïssani, Djamil A functional approximation for the M/G/1/N queue. (English) Zbl 1266.93135 Discrete Event Dyn. Syst. 23, No. 1, 93-104 (2013). MSC: 93E03 90B22 PDFBibTeX XMLCite \textit{K. Abbas} et al., Discrete Event Dyn. Syst. 23, No. 1, 93--104 (2013; Zbl 1266.93135) Full Text: DOI
Heidergott, Bernd; Leahu, Haralambie Weak differentiability of product measures. (English) Zbl 1228.60008 Math. Oper. Res. 35, No. 1, 27-51 (2010). Reviewer: Sophia L. Kalpazidou (Thessaloniki) MSC: 60A10 28A15 PDFBibTeX XMLCite \textit{B. Heidergott} and \textit{H. Leahu}, Math. Oper. Res. 35, No. 1, 27--51 (2010; Zbl 1228.60008) Full Text: DOI Link
Heidergott, Bernd; Hordijk, Arie Taylor series expansions for stationary Markov chains. (English) Zbl 1043.60056 Adv. Appl. Probab. 35, No. 4, 1046-1070 (2003). Reviewer: Rudolf Grübel (Hannover) MSC: 60J10 90C31 PDFBibTeX XMLCite \textit{B. Heidergott} and \textit{A. Hordijk}, Adv. Appl. Probab. 35, No. 4, 1046--1070 (2003; Zbl 1043.60056) Full Text: DOI Link