Araman, Victor F.; Glynn, Peter W. Gaussian limits for scheduled traffic with super-heavy tailed perturbations. (English) Zbl 1528.60023 Queueing Syst. 105, No. 1-2, 5-15 (2023). MSC: 60F05 60F17 60G22 60J65 PDFBibTeX XMLCite \textit{V. F. Araman} and \textit{P. W. Glynn}, Queueing Syst. 105, No. 1--2, 5--15 (2023; Zbl 1528.60023) Full Text: DOI arXiv
El Kharroubi, Ahmed; El Masmari, Soukaina Fluid limits of a loss storage network. (English) Zbl 1494.90016 Queueing Syst. 101, No. 1-2, 137-164 (2022). MSC: 90B06 60J25 60F05 60J60 PDFBibTeX XMLCite \textit{A. El Kharroubi} and \textit{S. El Masmari}, Queueing Syst. 101, No. 1--2, 137--164 (2022; Zbl 1494.90016) Full Text: DOI
Araman, Victor F.; Chen, Hong; Glynn, Peter W.; Xia, Li On a single server queue fed by scheduled traffic with Pareto perturbations. (English) Zbl 1486.60038 Queueing Syst. 100, No. 1-2, 61-91 (2022). MSC: 60F05 60F10 60K25 60G07 PDFBibTeX XMLCite \textit{V. F. Araman} et al., Queueing Syst. 100, No. 1--2, 61--91 (2022; Zbl 1486.60038) Full Text: DOI arXiv
Duan, Y.; Ganesh, A. The proportion of the population never hearing a rumour. (English) Zbl 1478.91152 Queueing Syst. 99, No. 3-4, 231-241 (2021). MSC: 91D99 60F05 PDFBibTeX XMLCite \textit{Y. Duan} and \textit{A. Ganesh}, Queueing Syst. 99, No. 3--4, 231--241 (2021; Zbl 1478.91152) Full Text: DOI arXiv
Simatos, Florian; Simonian, Alain Mobility can drastically improve the heavy traffic performance from \(\frac{1}{1-\varrho}\) to \(\log(1/(1-\varrho))\). (English) Zbl 1461.60083 Queueing Syst. 95, No. 1-2, 1-28 (2020). MSC: 60K25 60F05 PDFBibTeX XMLCite \textit{F. Simatos} and \textit{A. Simonian}, Queueing Syst. 95, No. 1--2, 1--28 (2020; Zbl 1461.60083) Full Text: DOI arXiv
Liu, Xin Diffusion approximations for double-ended queues with reneging in heavy traffic. (English) Zbl 1442.60094 Queueing Syst. 91, No. 1-2, 49-87 (2019). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 60F05 90B22 60K05 PDFBibTeX XMLCite \textit{X. Liu}, Queueing Syst. 91, No. 1--2, 49--87 (2019; Zbl 1442.60094) Full Text: DOI arXiv
Whitt, Ward; Zhang, Xiaopei A central-limit-theorem version of the periodic Little’s law. (English) Zbl 1450.60023 Queueing Syst. 91, No. 1-2, 15-47 (2019). Reviewer: Edward Omey (Brussels) MSC: 60F05 60F25 60K25 90B22 PDFBibTeX XMLCite \textit{W. Whitt} and \textit{X. Zhang}, Queueing Syst. 91, No. 1--2, 15--47 (2019; Zbl 1450.60023) Full Text: DOI
Glynn, Peter W.; Wang, Rob J. On the rate of convergence to equilibrium for two-sided reflected Brownian motion and for the Ornstein-Uhlenbeck process. (English) Zbl 1466.60045 Queueing Syst. 91, No. 1-2, 1-14 (2019). MSC: 60F05 60F10 60G05 60J60 60K25 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{R. J. Wang}, Queueing Syst. 91, No. 1--2, 1--14 (2019; Zbl 1466.60045) Full Text: DOI
Gao, Xuefeng; Zhu, Lingjiong Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues. (English) Zbl 1418.60024 Queueing Syst. 90, No. 1-2, 161-206 (2018). MSC: 60F17 60K25 90B22 PDFBibTeX XMLCite \textit{X. Gao} and \textit{L. Zhu}, Queueing Syst. 90, No. 1--2, 161--206 (2018; Zbl 1418.60024) Full Text: DOI arXiv
Glynn, Peter W.; Wang, Rob J. On the rate of convergence to equilibrium for reflected Brownian motion. (English) Zbl 1408.60019 Queueing Syst. 89, No. 1-2, 165-197 (2018). MSC: 60F05 60F10 60G05 60J60 60K25 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{R. J. Wang}, Queueing Syst. 89, No. 1--2, 165--197 (2018; Zbl 1408.60019) Full Text: DOI
Jonckheere, Matthieu; Prabhu, Balakrishna J. Asymptotics of insensitive load balancing and blocking phases. (English) Zbl 1390.60325 Queueing Syst. 88, No. 3-4, 243-278 (2018). MSC: 60K25 60F05 60F10 PDFBibTeX XMLCite \textit{M. Jonckheere} and \textit{B. J. Prabhu}, Queueing Syst. 88, No. 3--4, 243--278 (2018; Zbl 1390.60325) Full Text: DOI arXiv
Bansaye, Vincent; Camanes, Alain Queueing for an infinite bus line and aging branching process. (English) Zbl 1390.60319 Queueing Syst. 88, No. 1-2, 99-138 (2018). MSC: 60K25 60J80 60F05 60F10 PDFBibTeX XMLCite \textit{V. Bansaye} and \textit{A. Camanes}, Queueing Syst. 88, No. 1--2, 99--138 (2018; Zbl 1390.60319) Full Text: DOI arXiv
Pang, Guodong; Zhou, Yuhang Two-parameter process limits for infinite-server queues with dependent service times via chaining bounds. (English) Zbl 1390.60336 Queueing Syst. 88, No. 1-2, 1-25 (2018). MSC: 60K25 60F05 60F17 60G15 PDFBibTeX XMLCite \textit{G. Pang} and \textit{Y. Zhou}, Queueing Syst. 88, No. 1--2, 1--25 (2018; Zbl 1390.60336) Full Text: DOI
Lu, Hongyuan; Pang, Guodong Heavy-traffic limits for an infinite-server fork-join queueing system with dependent and disruptive services. (English) Zbl 1367.60116 Queueing Syst. 85, No. 1-2, 67-115 (2017). MSC: 60K25 60F17 60F05 90B22 60J75 PDFBibTeX XMLCite \textit{H. Lu} and \textit{G. Pang}, Queueing Syst. 85, No. 1--2, 67--115 (2017; Zbl 1367.60116) Full Text: DOI
Lu, Hongyuan; Pang, Guodong; Mandjes, Michel A functional central limit theorem for Markov additive arrival processes and its applications to queueing systems. (English) Zbl 1386.60123 Queueing Syst. 84, No. 3-4, 381-406 (2016). MSC: 60F17 60K37 60K25 90B15 90B22 PDFBibTeX XMLCite \textit{H. Lu} et al., Queueing Syst. 84, No. 3--4, 381--406 (2016; Zbl 1386.60123) Full Text: DOI
Delgado, Rosario A two-queue polling model with priority on one queue and heavy-tailed on/off sources: a heavy-traffic limit. (English) Zbl 1341.60112 Queueing Syst. 83, No. 1-2, 57-85 (2016). MSC: 60K25 60F17 60F05 60G22 60G15 60G18 60G48 90B22 68M20 PDFBibTeX XMLCite \textit{R. Delgado}, Queueing Syst. 83, No. 1--2, 57--85 (2016; Zbl 1341.60112) Full Text: DOI
Krenzler, Ruslan; Daduna, Hans Loss systems in a random environment: steady state analysis. (English) Zbl 1318.60094 Queueing Syst. 80, No. 1-2, 127-153 (2015). MSC: 60K25 60K37 60J10 60F05 60K10 60K20 90B22 90B05 90B25 PDFBibTeX XMLCite \textit{R. Krenzler} and \textit{H. Daduna}, Queueing Syst. 80, No. 1--2, 127--153 (2015; Zbl 1318.60094) Full Text: DOI arXiv
Dorsman, Jan-Pieter L.; Vlasiou, Maria; Zwart, Bert Heavy-traffic asymptotics for networks of parallel queues with Markov-modulated service speeds. (English) Zbl 1310.60129 Queueing Syst. 79, No. 3-4, 293-319 (2015). MSC: 60K25 60F05 60F17 90B22 68M20 PDFBibTeX XMLCite \textit{J.-P. L. Dorsman} et al., Queueing Syst. 79, No. 3--4, 293--319 (2015; Zbl 1310.60129) Full Text: DOI Link
Budhiraja, Amarjit; Ghosh, Arka; Liu, Xin Scheduling control for Markov-modulated single-server multiclass queueing systems in heavy traffic. (English) Zbl 1310.60126 Queueing Syst. 78, No. 1, 57-97 (2014). MSC: 60K25 90B22 90B36 60J70 60F17 60F05 PDFBibTeX XMLCite \textit{A. Budhiraja} et al., Queueing Syst. 78, No. 1, 57--97 (2014; Zbl 1310.60126) Full Text: DOI arXiv
Blom, J.; Kella, O.; Mandjes, M.; Thorsdottir, H. Markov-modulated infinite-server queues with general service times. (English) Zbl 1307.60126 Queueing Syst. 76, No. 4, 403-424 (2014). MSC: 60K25 60K37 60F05 PDFBibTeX XMLCite \textit{J. Blom} et al., Queueing Syst. 76, No. 4, 403--424 (2014; Zbl 1307.60126) Full Text: DOI
Perry, Ohad; Whitt, Ward Diffusion approximation for an overloaded \(X\) model via a stochastic averaging principle. (English) Zbl 1310.60133 Queueing Syst. 76, No. 4, 347-401 (2014). MSC: 60K25 60F17 60F05 90B22 PDFBibTeX XMLCite \textit{O. Perry} and \textit{W. Whitt}, Queueing Syst. 76, No. 4, 347--401 (2014; Zbl 1310.60133) Full Text: DOI arXiv
Fayolle, Guy; Lasgouttes, Jean-Marc Modeling a case of herding behavior in a multi-player game. (English) Zbl 1323.60103 Queueing Syst. 76, No. 3, 243-265 (2014). MSC: 60J28 60J27 60F05 34L30 37C40 PDFBibTeX XMLCite \textit{G. Fayolle} and \textit{J.-M. Lasgouttes}, Queueing Syst. 76, No. 3, 243--265 (2014; Zbl 1323.60103) Full Text: DOI arXiv
Delgado, Rosario Heavy-traffic limit for a feed-forward fluid model with heterogeneous heavy-tailed on/off sources. (English) Zbl 1270.60100 Queueing Syst. 74, No. 1, 41-63 (2013). MSC: 60K25 60F05 60G15 60G18 60G22 PDFBibTeX XMLCite \textit{R. Delgado}, Queueing Syst. 74, No. 1, 41--63 (2013; Zbl 1270.60100) Full Text: DOI
Pang, Guodong; Whitt, Ward Two-parameter heavy-traffic limits for infinite-server queues with dependent service times. (English) Zbl 1264.60068 Queueing Syst. 73, No. 2, 119-146 (2013). Reviewer: Tommi Sottinen (Vaasa) MSC: 60K25 60F17 60G60 90B22 60G57 PDFBibTeX XMLCite \textit{G. Pang} and \textit{W. Whitt}, Queueing Syst. 73, No. 2, 119--146 (2013; Zbl 1264.60068) Full Text: DOI
Sigman, Karl; Whitt, Ward Heavy-traffic limits for nearly deterministic queues: Stationary distributions. (English) Zbl 1237.60072 Queueing Syst. 69, No. 2, 145-173 (2011). Reviewer: Laszlo Lakatos (Budapest) MSC: 60K25 60F05 PDFBibTeX XMLCite \textit{K. Sigman} and \textit{W. Whitt}, Queueing Syst. 69, No. 2, 145--173 (2011; Zbl 1237.60072) Full Text: DOI
Dombry, Clément; Kaj, Ingemar The on-off network traffic model under intermediate scaling. (English) Zbl 1235.60121 Queueing Syst. 69, No. 1, 29-44 (2011). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K10 60G22 60F05 60K05 90B15 90B20 PDFBibTeX XMLCite \textit{C. Dombry} and \textit{I. Kaj}, Queueing Syst. 69, No. 1, 29--44 (2011; Zbl 1235.60121) Full Text: DOI arXiv
Zhang, Xiaowei; Glynn, Peter W. On the dynamics of a finite buffer queue conditioned on the amount of loss. (English) Zbl 1210.60104 Queueing Syst. 67, No. 2, 91-110 (2011). MSC: 60K25 60F10 60J55 60J65 60F05 34L99 90B15 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{P. W. Glynn}, Queueing Syst. 67, No. 2, 91--110 (2011; Zbl 1210.60104) Full Text: DOI
Fasen, Vicky Modeling network traffic by a cluster Poisson input process with heavy and light-tailed file sizes. (English) Zbl 1255.90041 Queueing Syst. 66, No. 4, 313-350 (2010). MSC: 90B22 60F05 60F10 60F17 60G52 PDFBibTeX XMLCite \textit{V. Fasen}, Queueing Syst. 66, No. 4, 313--350 (2010; Zbl 1255.90041) Full Text: DOI Link
Pang, Guodong; Whitt, Ward Two-parameter heavy-traffic limits for infinite-server queues. (English) Zbl 1231.60100 Queueing Syst. 65, No. 4, 325-364 (2010). MSC: 60K25 60F17 60G60 60J25 90B22 PDFBibTeX XMLCite \textit{G. Pang} and \textit{W. Whitt}, Queueing Syst. 65, No. 4, 325--364 (2010; Zbl 1231.60100) Full Text: DOI arXiv
Pang, Guodong; Whitt, Ward Heavy-traffic extreme value limits for Erlang delay models. (English) Zbl 1209.90119 Queueing Syst. 63, No. 1-4, 13-32 (2009). MSC: 90B22 60K25 60F05 60G70 PDFBibTeX XMLCite \textit{G. Pang} and \textit{W. Whitt}, Queueing Syst. 63, No. 1--4, 13--32 (2009; Zbl 1209.90119) Full Text: DOI
Andersen, Lars Nørvang; Mandjes, Michel Structural properties of reflected Lévy processes. (English) Zbl 1196.60149 Queueing Syst. 63, No. 1-4, 301-322 (2009). Reviewer: Vyacheslav Abramov (Victoria) MSC: 60K25 60F05 90B22 PDFBibTeX XMLCite \textit{L. N. Andersen} and \textit{M. Mandjes}, Queueing Syst. 63, No. 1--4, 301--322 (2009; Zbl 1196.60149) Full Text: DOI Link
Tinnakornsrisuphap, Peerapol; Makowski, Armand M. On the behavior of ECN/RED gateways under a large number of TCP flows: limit theorems. (English) Zbl 1114.90024 Queueing Syst. 52, No. 4, 287-304 (2006). Reviewer: Anirban Mahanti (Calgary) MSC: 90B22 60F05 93E20 PDFBibTeX XMLCite \textit{P. Tinnakornsrisuphap} and \textit{A. M. Makowski}, Queueing Syst. 52, No. 4, 287--304 (2006; Zbl 1114.90024) Full Text: DOI Link
Chao, Yi-Ju Weak convergence of a sequence of semimartingales to a diffusion with discontinuous drift and diffusion coefficients. (English) Zbl 1037.60041 Queueing Syst. 42, No. 2, 153-188 (2002). MSC: 60G48 60F05 60J60 PDFBibTeX XMLCite \textit{Y.-J. Chao}, Queueing Syst. 42, No. 2, 153--188 (2002; Zbl 1037.60041) Full Text: DOI
Schassberger, R. On the existence of invariant measures for networks with string transitions. (English) Zbl 0981.60020 Queueing Syst. 38, No. 3, 265-285 (2001). Reviewer: E.A.van Doorn (Enschede) MSC: 60F05 60K25 PDFBibTeX XMLCite \textit{R. Schassberger}, Queueing Syst. 38, No. 3, 265--285 (2001; Zbl 0981.60020) Full Text: DOI
Whitt, Ward An overview of Brownian and non-Brownian FCLTs for the single-server queue. (English) Zbl 0967.60038 Queueing Syst. 36, No. 1-3, 39-70 (2000). MSC: 60F17 60K25 60F05 PDFBibTeX XMLCite \textit{W. Whitt}, Queueing Syst. 36, No. 1--3, 39--70 (2000; Zbl 0967.60038) Full Text: DOI
Sharma, Vinod Open queueing networks in discrete time – some limit theorems. (English) Zbl 0780.60095 Queueing Syst. 14, No. 1-2, 159-175 (1993). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{V. Sharma}, Queueing Syst. 14, No. 1--2, 159--175 (1993; Zbl 0780.60095) Full Text: DOI
Chen, Hong; Whitt, Ward Diffusion approximations for open queueing networks with service interruptions. (English) Zbl 0783.60088 Queueing Syst. 13, No. 4, 335-359 (1993). Reviewer: W.Szczotka (Wrocław) MSC: 60K20 60K25 PDFBibTeX XMLCite \textit{H. Chen} and \textit{W. Whitt}, Queueing Syst. 13, No. 4, 335--359 (1993; Zbl 0783.60088) Full Text: DOI
Anantharam, V. How large delays build up in a GI/G/1 queue. (English) Zbl 0695.60092 Queueing Syst. 5, No. 4, 345-368 (1989). Reviewer: L.Lakatos MSC: 60K25 60F05 90B22 PDFBibTeX XMLCite \textit{V. Anantharam}, Queueing Syst. 5, No. 4, 345--368 (1989; Zbl 0695.60092) Full Text: DOI
Szczotka, Władysław; Topolski, Krzysztof Conditioned limit theorems for the pair of waiting time and queue line processes. (English) Zbl 0691.60084 Queueing Syst. 5, No. 4, 393-400 (1989). Reviewer: H.Wegmann MSC: 60K25 60F05 90B22 PDFBibTeX XMLCite \textit{W. Szczotka} and \textit{K. Topolski}, Queueing Syst. 5, No. 4, 393--400 (1989; Zbl 0691.60084) Full Text: DOI
Glynn, P. W.; Whitt, W. Sufficient conditions for functional-limit-theorem versions of \(L=\lambda W\). (English) Zbl 0681.60097 Queueing Syst. 1, No. 3, 279-287 (1987). Reviewer: L.R.Goel MSC: 60K25 90B22 60F05 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{W. Whitt}, Queueing Syst. 1, No. 3, 279--287 (1987; Zbl 0681.60097) Full Text: DOI
Glynn, P. W.; Whitt, W. A central-limit-theorem version of \(L=\lambda W\). (English) Zbl 0676.60088 Queueing Syst. 1, No. 2, 191-215 (1986). Reviewer: L.R.Goel MSC: 60K25 60F05 90B22 PDFBibTeX XMLCite \textit{P. W. Glynn} and \textit{W. Whitt}, Queueing Syst. 1, No. 2, 191--215 (1986; Zbl 0676.60088) Full Text: DOI