Haddad, Jean-Paul; Mazumdar, Ravi R. Heavy traffic approximation for the stationary distribution of stochastic fluid networks. (English) Zbl 1242.60092 Queueing Syst. 70, No. 1, 3-21 (2012). MSC: 60K25 60G17 90B15 90B18 60J25 PDFBibTeX XMLCite \textit{J.-P. Haddad} and \textit{R. R. Mazumdar}, Queueing Syst. 70, No. 1, 3--21 (2012; Zbl 1242.60092) Full Text: DOI
Piera, Francisco J.; Mazumdar, Ravi R.; Guillemin, Fabrice M. Boundary behavior and product-form stationary distributions of jump diffusions in the orthant with state-dependent reflections. (English) Zbl 1143.60053 Adv. Appl. Probab. 40, No. 2, 529-547 (2008). MSC: 60J75 60J60 60J50 60J55 60K25 PDFBibTeX XMLCite \textit{F. J. Piera} et al., Adv. Appl. Probab. 40, No. 2, 529--547 (2008; Zbl 1143.60053) Full Text: DOI
Piera, Francisco J.; Mazumdar, Ravi R.; Guillemin, Fabrice M. Existence and characterization of product-form invariant distributions for state-dependent stochastic networks in the heavy-traffic diffusion limit. (English) Zbl 1136.60369 Queueing Syst. 58, No. 1, 3-27 (2008). MSC: 60K30 60J60 60J75 60K25 PDFBibTeX XMLCite \textit{F. J. Piera} et al., Queueing Syst. 58, No. 1, 3--27 (2008; Zbl 1136.60369) Full Text: DOI Link
Piera, Francisco J.; Mazumdar, Ravi R.; Guillemin, Fabrice M. On product-form stationary distributions for reflected diffusions with jumps in the positive orthant. (English) Zbl 1064.60168 Adv. Appl. Probab. 37, No. 1, 212-228 (2005). MSC: 60J50 60J55 60J60 60J75 90B22 PDFBibTeX XMLCite \textit{F. J. Piera} et al., Adv. Appl. Probab. 37, No. 1, 212--228 (2005; Zbl 1064.60168) Full Text: DOI