Baccelli, F.; Foss, S.; Shneer, S. Migration-contagion processes. (English) Zbl 07807057 Adv. Appl. Probab. 56, No. 1, 71-105 (2024). MSC: 60K35 60K25 60G55 92D30 PDFBibTeX XMLCite \textit{F. Baccelli} et al., Adv. Appl. Probab. 56, No. 1, 71--105 (2024; Zbl 07807057) Full Text: DOI arXiv
Foss, Sergey; Konstantopoulos, Takis; Mallein, Bastien; Ramassamy, Sanjay Estimation of the last passage percolation constant in a charged complete directed acyclic graph via perfect simulation. (English) Zbl 07799661 ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 547-560 (2023). MSC: 82M31 60K15 60G10 05C80 PDFBibTeX XMLCite \textit{S. Foss} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 547--560 (2023; Zbl 07799661) Full Text: arXiv Link
Foss, Sergey; Konstantopoulos, Takis; Pyatkin, Artem Probabilistic and analytical properties of the last passage percolation constant in a weighted random directed graph. (English) Zbl 1525.60112 Ann. Appl. Probab. 33, No. 2, 931-953 (2023). MSC: 60K35 05C80 60K05 PDFBibTeX XMLCite \textit{S. Foss} et al., Ann. Appl. Probab. 33, No. 2, 931--953 (2023; Zbl 1525.60112) Full Text: DOI arXiv
Foss, Sergey; Prasolov, Timofei Moments of the first descending epoch for a random walk with negative drift. (English) Zbl 1498.60167 Stat. Probab. Lett. 189, Article ID 109547, 5 p. (2022). MSC: 60G50 60G40 60K25 PDFBibTeX XMLCite \textit{S. Foss} and \textit{T. Prasolov}, Stat. Probab. Lett. 189, Article ID 109547, 5 p. (2022; Zbl 1498.60167) Full Text: DOI arXiv
Foss, Sergey Convergence in the total variation norm in multiserver queues. (English) Zbl 1491.90041 Queueing Syst. 100, No. 3-4, 293-295 (2022). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{S. Foss}, Queueing Syst. 100, No. 3--4, 293--295 (2022; Zbl 1491.90041) Full Text: DOI
Tesemnivkov, P. I.; Foss, S. G. The probability of reaching a receding boundary by a branching random walk with fading branching and heavy-tailed jump distribution. (English. Russian original) Zbl 1514.60058 Proc. Steklov Inst. Math. 316, 318-335 (2022); translation from Tr. Mat. Inst. Steklova 316, 336-354 (2022). Reviewer: Heinrich Hering (Rockenberg) MSC: 60G50 60J80 60K25 PDFBibTeX XMLCite \textit{P. I. Tesemnivkov} and \textit{S. G. Foss}, Proc. Steklov Inst. Math. 316, 318--335 (2022; Zbl 1514.60058); translation from Tr. Mat. Inst. Steklova 316, 336--354 (2022) Full Text: DOI arXiv
Sakhanenko, Alexander; Foss, Sergey On representations and simulation of conditioned random walks on integer lattices. (English) Zbl 1493.60079 Sib. Èlektron. Mat. Izv. 18, No. 2, 1556-1571 (2021). MSC: 60G50 60K37 PDFBibTeX XMLCite \textit{A. Sakhanenko} and \textit{S. Foss}, Sib. Èlektron. Mat. Izv. 18, No. 2, 1556--1571 (2021; Zbl 1493.60079) Full Text: DOI
Foss, Sergey Georgievich; Chebunin, Mikhail Georgievich Harris ergodicity of a split transmission control protocol. (Russian. English summary) Zbl 1492.60258 Sib. Èlektron. Mat. Izv. 18, No. 2, 1493-1505 (2021). MSC: 60K25 68M10 PDFBibTeX XMLCite \textit{S. G. Foss} and \textit{M. G. Chebunin}, Sib. Èlektron. Mat. Izv. 18, No. 2, 1493--1505 (2021; Zbl 1492.60258) Full Text: DOI
Foss, Sergey; Sakhanenko, Alexander Structural properties of conditioned random walks on integer lattices with random local constraints. (English) Zbl 1469.60359 Vares, Maria Eulália (ed.) et al., In and out of equilibrium 3: celebrating Vladas Sidoravicius. Cham: Birkhäuser. Prog. Probab. 77, 407-438 (2021). MSC: 60K37 60K15 60J55 PDFBibTeX XMLCite \textit{S. Foss} and \textit{A. Sakhanenko}, Prog. Probab. 77, 407--438 (2021; Zbl 1469.60359) Full Text: DOI arXiv
Foss, Sergey; Miyazawa, Masakiyo Tails in a fixed-point problem for a branching process with state-independent immigration. (English) Zbl 1465.60078 Markov Process. Relat. Fields 26, No. 4, 613-635 (2020). Reviewer: Bastien Mallein (Paris) MSC: 60J80 60J05 60K25 60E99 PDFBibTeX XMLCite \textit{S. Foss} and \textit{M. Miyazawa}, Markov Process. Relat. Fields 26, No. 4, 613--635 (2020; Zbl 1465.60078) Full Text: arXiv Link
Adan, Ivo; Foss, Sergey; Shneer, Seva; Weiss, Gideon Local stability in a transient Markov chain. (English) Zbl 1450.60035 Stat. Probab. Lett. 165, Article ID 108855, 5 p. (2020). MSC: 60J10 60K20 PDFBibTeX XMLCite \textit{I. Adan} et al., Stat. Probab. Lett. 165, Article ID 108855, 5 p. (2020; Zbl 1450.60035) Full Text: DOI arXiv
Sankararaman, Abishek; Baccelli, François; Foss, Sergey Interference queueing networks on grids. (English) Zbl 1442.60104 Ann. Appl. Probab. 29, No. 5, 2929-2987 (2019). MSC: 60K35 90B18 68M20 PDFBibTeX XMLCite \textit{A. Sankararaman} et al., Ann. Appl. Probab. 29, No. 5, 2929--2987 (2019; Zbl 1442.60104) Full Text: DOI arXiv
Chebunin, Mikhaĭl Georgievich; Foss, Sergeĭ Georgievich On stability of multiple access systems with minimal feedback. (Russian. English summary) Zbl 1427.60189 Sib. Èlektron. Mat. Izv. 16, 1805-1821 (2019). MSC: 60K25 90B15 PDFBibTeX XMLCite \textit{M. G. Chebunin} and \textit{S. G. Foss}, Sib. Èlektron. Mat. Izv. 16, 1805--1821 (2019; Zbl 1427.60189) Full Text: DOI
Asmussen, Søren; Foss, Sergey Regular variation in a fixed-point problem for single- and multi-class branching processes and queues. (English) Zbl 1443.60077 Adv. Appl. Probab. 50, No. A, 47-61 (2018). MSC: 60J80 60K25 60F10 PDFBibTeX XMLCite \textit{S. Asmussen} and \textit{S. Foss}, Adv. Appl. Probab. 50, No. A, 47--61 (2018; Zbl 1443.60077) Full Text: DOI arXiv
Foss, Sergey; Miyazawa, Masakiyo Customer sojourn time in \(GI/GI/1\) feedback queue in the presence of heavy tails. (English) Zbl 1403.60076 J. Stat. Phys. 173, No. 3-4, 1195-1226 (2018). MSC: 60K25 PDFBibTeX XMLCite \textit{S. Foss} and \textit{M. Miyazawa}, J. Stat. Phys. 173, No. 3--4, 1195--1226 (2018; Zbl 1403.60076) Full Text: DOI arXiv
Foss, Sergey Comments on: “Polling: past, present and perspective”. (English) Zbl 1401.60168 Top 26, No. 3, 374-378 (2018). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. Foss}, Top 26, No. 3, 374--378 (2018; Zbl 1401.60168) Full Text: DOI
Foss, Sergey; Konstantopoulos, Takis; Mountford, Thomas Power law condition for stability of Poisson hail. (English) Zbl 1397.82031 J. Theor. Probab. 31, No. 2, 684-704 (2018). MSC: 82B44 82D30 60K37 60G55 82B41 PDFBibTeX XMLCite \textit{S. Foss} et al., J. Theor. Probab. 31, No. 2, 684--704 (2018; Zbl 1397.82031) Full Text: DOI arXiv
Foss, S.; Stolyar, A. L. Large-scale join-idle-queue system with general service times. (English) Zbl 1403.90238 J. Appl. Probab. 54, No. 4, 995-1007 (2017). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{S. Foss} and \textit{A. L. Stolyar}, J. Appl. Probab. 54, No. 4, 995--1007 (2017; Zbl 1403.90238) Full Text: DOI arXiv
Foss, Sergey; Korshunov, Dmitry; Palmowski, Zbigniew; Rolski, Tomasz Two-dimensional ruin probability for subexponential claim size. (English) Zbl 1393.60100 Probab. Math. Stat. 37, No. 2, 319-335 (2017). MSC: 60K10 60G50 60K25 91B30 PDFBibTeX XMLCite \textit{S. Foss} et al., Probab. Math. Stat. 37, No. 2, 319--335 (2017; Zbl 1393.60100) Full Text: arXiv Link
Sakhanenko, Aleksandr Ivanovich; Foss, Sergeĭ Georgievich On a structure of a conditioned random walk on the integers with bounded local times. (Russian. English summary) Zbl 1390.60361 Sib. Èlektron. Mat. Izv. 14, 1265-1278 (2017). MSC: 60K37 PDFBibTeX XMLCite \textit{A. I. Sakhanenko} and \textit{S. G. Foss}, Sib. Èlektron. Mat. Izv. 14, 1265--1278 (2017; Zbl 1390.60361) Full Text: DOI
Foss, S. G.; Hajek, B.; Turlikov, A. M. Doubly randomized protocols for a random multiple access channel with “success-nonsuccess” feedback. (English. Russian original) Zbl 1369.60064 Probl. Inf. Transm. 52, No. 2, 156-165 (2016); translation from Probl. Peredachi Inf. 52, No. 2, 61-71 (2016). MSC: 60K30 60J20 90B18 68M10 68M12 PDFBibTeX XMLCite \textit{S. G. Foss} et al., Probl. Inf. Transm. 52, No. 2, 156--165 (2016; Zbl 1369.60064); translation from Probl. Peredachi Inf. 52, No. 2, 61--71 (2016) Full Text: DOI arXiv
Foss, Sergey; Kim, Dmitry; Turlikov, Andrey Stability and instability of a random multiple access model with adaptive energy harvesting. (English) Zbl 1345.60122 Sib. Èlektron. Mat. Izv. 13, 16-25 (2016). MSC: 60K99 60K25 90B15 90B18 PDFBibTeX XMLCite \textit{S. Foss} et al., Sib. Èlektron. Mat. Izv. 13, 16--25 (2016; Zbl 1345.60122) Full Text: DOI arXiv
Foss, Sergey; Rolla, Leonardo T.; Sidoravicius, Vladas Greedy walk on the real line. (English) Zbl 1327.60176 Ann. Probab. 43, No. 3, 1399-1418 (2015). Reviewer: Evsei Morozov (Petrozavodsk) MSC: 60K25 60K35 60G55 90B22 PDFBibTeX XMLCite \textit{S. Foss} et al., Ann. Probab. 43, No. 3, 1399--1418 (2015; Zbl 1327.60176) Full Text: DOI arXiv Euclid
Kim, D. K.; Turlikov, A. M.; Foss, S. G. Random multiple access with common energy harvesting mechanism. (Russian. English summary) Zbl 1329.60312 Sib. Èlektron. Mat. Izv. 11, 896-905 (2014). MSC: 60K20 90B15 PDFBibTeX XMLCite \textit{D. K. Kim} et al., Sib. Èlektron. Mat. Izv. 11, 896--905 (2014; Zbl 1329.60312) Full Text: Link
Foss, Sergey; Miyazawa, Masakiyo Two-node fluid network with a heavy-tailed random input: the strong stability case. (English) Zbl 1317.60120 J. Appl. Probab. 51A, Spec. Vol., 249-265 (2014). MSC: 60K25 90B15 60G17 60E15 PDFBibTeX XMLCite \textit{S. Foss} and \textit{M. Miyazawa}, J. Appl. Probab. 51A, 249--265 (2014; Zbl 1317.60120) Full Text: DOI arXiv Euclid
Asmussen, Søren; Foss, Sergey On exceedance times for some processes with dependent increments. (English) Zbl 1296.60120 J. Appl. Probab. 51, No. 1, 136-151 (2014). Reviewer: Hanspeter Schmidli (Köln) MSC: 60G51 60E99 60K15 60F10 60K25 91B30 PDFBibTeX XMLCite \textit{S. Asmussen} and \textit{S. Foss}, J. Appl. Probab. 51, No. 1, 136--151 (2014; Zbl 1296.60120) Full Text: DOI arXiv Euclid
Remerova, Maria; Foss, Sergey; Zwart, Bert Random fluid limit of an overloaded polling model. (English) Zbl 1292.60093 Adv. Appl. Probab. 46, No. 1, 76-101 (2014). Reviewer: Vyacheslav Abramov (Melbourne) MSC: 60K25 60F17 90B15 90B22 PDFBibTeX XMLCite \textit{M. Remerova} et al., Adv. Appl. Probab. 46, No. 1, 76--101 (2014; Zbl 1292.60093) Full Text: DOI arXiv Euclid
Foss, Sergey; Martin, James B.; Schmidt, Philipp Long-range last-passage percolation on the line. (English) Zbl 1293.60090 Ann. Appl. Probab. 24, No. 1, 198-234 (2014). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60K35 82B43 82C43 05C80 60B20 PDFBibTeX XMLCite \textit{S. Foss} et al., Ann. Appl. Probab. 24, No. 1, 198--234 (2014; Zbl 1293.60090) Full Text: DOI arXiv Euclid
Foss, Sergey; Zachary, Stan Stochastic sequences with a regenerative structure that may depend both on the future and on the past. (English) Zbl 1293.60083 Adv. Appl. Probab. 45, No. 4, 1083-1110 (2013). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60K05 60K35 60K40 PDFBibTeX XMLCite \textit{S. Foss} and \textit{S. Zachary}, Adv. Appl. Probab. 45, No. 4, 1083--1110 (2013; Zbl 1293.60083) Full Text: DOI arXiv
Foss, Sergey; Shneer, Seva; Turlikov, Andrey Stability of a Markov-modulated Markov chain, with application to a wireless network governed by two protocols. (English) Zbl 1292.93139 Stoch. Syst. 2, No. 1, 208-231 (2012). MSC: 93E15 60J10 93C55 60K25 68M12 68M20 PDFBibTeX XMLCite \textit{S. Foss} et al., Stoch. Syst. 2, No. 1, 208--231 (2012; Zbl 1292.93139) Full Text: DOI arXiv
Frolkova, Maria; Foss, Sergey; Zwart, Bert Fluid limits for an ALOHA-type model with impatient customers. (English) Zbl 1275.60076 Queueing Syst. 72, No. 1-2, 69-101 (2012). MSC: 60K25 60F17 90B15 90B22 PDFBibTeX XMLCite \textit{M. Frolkova} et al., Queueing Syst. 72, No. 1--2, 69--101 (2012; Zbl 1275.60076) Full Text: DOI arXiv
Foss, Sergey; Korshunov, Dmitry On large delays in multi-server queues with heavy tails. (English) Zbl 1242.90062 Math. Oper. Res. 37, No. 2, 201-218 (2012). MSC: 90B22 60K25 60F10 PDFBibTeX XMLCite \textit{S. Foss} and \textit{D. Korshunov}, Math. Oper. Res. 37, No. 2, 201--218 (2012; Zbl 1242.90062) Full Text: DOI arXiv
Denisov, D.; Foss, S.; Konstantopoulos, T. Limit theorems for a random directed slab graph. (English) Zbl 1241.05132 Ann. Appl. Probab. 22, No. 2, 702-733 (2012). MSC: 05C80 60F17 60K35 06A06 PDFBibTeX XMLCite \textit{D. Denisov} et al., Ann. Appl. Probab. 22, No. 2, 702--733 (2012; Zbl 1241.05132) Full Text: DOI arXiv Euclid
Bordenave, Charles; Foss, Sergey; Last, Günter On the greedy walk problem. (English) Zbl 1275.60048 Queueing Syst. 68, No. 3-4, 333-338 (2011). MSC: 60G55 60K37 PDFBibTeX XMLCite \textit{C. Bordenave} et al., Queueing Syst. 68, No. 3--4, 333--338 (2011; Zbl 1275.60048) Full Text: DOI HAL
Rojas-Nandayapa, Leonardo; Foss, Sergey; Kroese, Dirk P. Stability and performance of greedy server systems. (English) Zbl 1275.60085 Queueing Syst. 68, No. 3-4, 221-227 (2011). MSC: 60K25 68M20 90B22 PDFBibTeX XMLCite \textit{L. Rojas-Nandayapa} et al., Queueing Syst. 68, No. 3--4, 221--227 (2011; Zbl 1275.60085) Full Text: DOI
Baccelli, Francois; Foss, Sergey Poisson hail on a hot ground. (English) Zbl 1230.60097 J. Appl. Probab. 48A, Spec. Vol., 343-366 (2011). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60K25 60G55 60J80 60D05 60K35 PDFBibTeX XMLCite \textit{F. Baccelli} and \textit{S. Foss}, J. Appl. Probab. 48A, 343--366 (2011; Zbl 1230.60097) Full Text: DOI arXiv
Foss, Serguei (ed.); Last, Günter (ed.); Mandjes, Michel (ed.); Prabhakar, Balaji (ed.) Mathematical challenges in stochastic networks. Abstracts from the workshop held October 17th – October 23rd, 2010. (English) Zbl 1235.00033 Oberwolfach Rep. 7, No. 4, 2745-2812 (2010). MSC: 00B05 60-06 05-06 60K30 90B15 90C27 05C82 PDFBibTeX XMLCite \textit{S. Foss} (ed.) et al., Oberwolfach Rep. 7, No. 4, 2745--2812 (2010; Zbl 1235.00033) Full Text: DOI
Bordenave, Charles; Foss, Serguei; Shneer, Vsevolod A random multiple-access protocol with spatial interactions. (English) Zbl 1187.60071 J. Appl. Probab. 46, No. 3, 844-865 (2009). Reviewer: Jerzy Martyna (Kraków) MSC: 60K25 90B15 68R10 PDFBibTeX XMLCite \textit{C. Bordenave} et al., J. Appl. Probab. 46, No. 3, 844--865 (2009; Zbl 1187.60071) Full Text: DOI arXiv
Foss, Sergey Some Open Problems Related to Stability. arXiv:0909.0462 Preprint, arXiv:0909.0462 [math.PR] (2009). MSC: 60K25 60J05 60J25 60G10 BibTeX Cite \textit{S. Foss}, ``Some Open Problems Related to Stability'', Preprint, arXiv:0909.0462 [math.PR] (2009) Full Text: arXiv OA License
Foss, S. G. On the exact asymptotics for the stationary sojourn time distribution in a tandem of queues with light-tailed service times. (English. Russian original) Zbl 1166.60056 Probl. Inf. Transm. 43, No. 4, 353-366 (2007); translation from Probl. Peredachi Inf. 43, No. 4, 93-108 (2007). Reviewer: S. Kalpakam (Chennai) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Foss}, Probl. Inf. Transm. 43, No. 4, 353--366 (2007; Zbl 1166.60056); translation from Probl. Peredachi Inf. 43, No. 4, 93--108 (2007) Full Text: DOI arXiv
Foss, S.; Sapozhnikov, A. Convergence rates in monotone separable stochastic networks. (English) Zbl 1142.60400 Queueing Syst. 52, No. 2, 125-137 (2006). MSC: 60K25 90B15 90B22 PDFBibTeX XMLCite \textit{S. Foss} and \textit{A. Sapozhnikov}, Queueing Syst. 52, No. 2, 125--137 (2006; Zbl 1142.60400) Full Text: DOI
Foss, Serguei; Korshunov, Dmitry Heavy tails in multi-server queue. (English) Zbl 1091.60029 Queueing Syst. 52, No. 1, 31-48 (2006). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. Foss} and \textit{D. Korshunov}, Queueing Syst. 52, No. 1, 31--48 (2006; Zbl 1091.60029) Full Text: DOI arXiv
Kovalevskiĭ, A. P.; Topchiĭ, V. A.; Foss, S. G. On the stability of a queueing system with uncountably branching fluid limits. (English. Russian original) Zbl 1101.90019 Probl. Inf. Transm. 41, No. 3, 254-279 (2005); translation from Probl. Peredachi Inf. 2005, No. 3, 76-104 (2005). Reviewer: Laszlo Lakatos (Budapest) MSC: 90B22 60J85 60K25 PDFBibTeX XMLCite \textit{A. P. Kovalevskiĭ} et al., Probl. Inf. Transm. 41, No. 3, 254--279 (2005; Zbl 1101.90019); translation from Probl. Peredachi Inf. 2005, No. 3, 76--104 (2005) Full Text: DOI
Foss, Serguei; Palmowski, Zbigniew; Zachary, Stan The probability of exceeding a high boundary on a random time interval for a heavy-tailed random walk. (English) Zbl 1083.60036 Ann. Appl. Probab. 15, No. 3, 1936-1957 (2005). Reviewer: Klaus Schürger (Bonn) MSC: 60G50 60J10 60K25 PDFBibTeX XMLCite \textit{S. Foss} et al., Ann. Appl. Probab. 15, No. 3, 1936--1957 (2005; Zbl 1083.60036) Full Text: DOI arXiv
Baccelli, François; Foss, Serguei; Lelarge, Marc Tails in generalized Jackson networks with subexponential service-time distributions. (English) Zbl 1077.60067 J. Appl. Probab. 42, No. 2, 513-530 (2005). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 62G20 90B22 PDFBibTeX XMLCite \textit{F. Baccelli} et al., J. Appl. Probab. 42, No. 2, 513--530 (2005; Zbl 1077.60067) Full Text: DOI
Foss, S.; Sapozhnikov, A. On the existence of moments for the busy period in a single-server queue. (English) Zbl 1082.60082 Math. Oper. Res. 29, No. 3, 592-601 (2004). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. Foss} and \textit{A. Sapozhnikov}, Math. Oper. Res. 29, No. 3, 592--601 (2004; Zbl 1082.60082) Full Text: DOI Link
Baccelli, François; Foss, Serguei Moments and tails in monotone-separable stochastic networks. (English) Zbl 1048.60067 Ann. Appl. Probab. 14, No. 2, 612-650 (2004). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60K25 60F10 90B15 PDFBibTeX XMLCite \textit{F. Baccelli} and \textit{S. Foss}, Ann. Appl. Probab. 14, No. 2, 612--650 (2004; Zbl 1048.60067) Full Text: DOI arXiv
Foss, Serguei; Zachary, Stan The maximum on a random time interval of a random walk with long-tailed increments and negative drift. (English) Zbl 1045.60039 Ann. Appl. Probab. 13, No. 1, 37-53 (2003). Reviewer: Hans Daduna (Hamburg) MSC: 60G50 60G70 60K30 PDFBibTeX XMLCite \textit{S. Foss} and \textit{S. Zachary}, Ann. Appl. Probab. 13, No. 1, 37--53 (2003; Zbl 1045.60039) Full Text: DOI arXiv
Foss, S.; Zachary, S. Asymptotics for the maximum of a modulated random walk with heavy-tailed increments. (English) Zbl 1021.60054 Suhov, Yu. M. (ed.), Analytic methods in applied probability. In memory of Fridrikh Karpelevich. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 207, 37-52 (2002). MSC: 60J10 60K25 PDFBibTeX XMLCite \textit{S. Foss} and \textit{S. Zachary}, Transl., Ser. 2, Am. Math. Soc. 207, 37--52 (2002; Zbl 1021.60054) Full Text: arXiv
Foss, S. G.; Chernova, N. I. On optimality of the FCFS discipline in multiserver queueing systems and networks. (Russian, English) Zbl 1074.60508 Sib. Mat. Zh. 42, No. 2, 434-450 (2001); translation in Sib. Math. J. 42, No. 2, 372-385 (2001). Reviewer: D. A. Korshunov (Novosibirsk) MSC: 60K25 PDFBibTeX XMLCite \textit{S. G. Foss} and \textit{N. I. Chernova}, Sib. Mat. Zh. 42, No. 2, 434--450 (2001; Zbl 1074.60508); translation in Sib. Math. J. 42, No. 2, 372--385 (2001) Full Text: EuDML
Foss, S.; Korshunov, D. Sampling at a random time with a heavy-tailed distribution. (English) Zbl 0977.60091 Markov Process. Relat. Fields 6, No. 4, 543-568 (2000). Reviewer: S.Asmussen (Lund) MSC: 60K05 60K25 PDFBibTeX XMLCite \textit{S. Foss} and \textit{D. Korshunov}, Markov Process. Relat. Fields 6, No. 4, 543--568 (2000; Zbl 0977.60091)
Borovkov, A. A.; Foss, S. G. Estimates for overshooting an arbitrary boundary by a random walk and their applications. (English. Russian original) Zbl 0969.60074 Theory Probab. Appl. 44, No. 2, 231-253 (1999); translation from Teor. Veroyatn. Primen. 44, No. 2, 249-277 (1999). Reviewer: Alexander V.Bulinskij (Moskva) MSC: 60J10 60G50 60E05 60F05 60K20 60D05 PDFBibTeX XMLCite \textit{A. A. Borovkov} and \textit{S. G. Foss}, Theory Probab. Appl. 44, No. 2, 231--253 (1999; Zbl 0969.60074); translation from Teor. Veroyatn. Primen. 44, No. 2, 249--277 (1999) Full Text: DOI
Foss, Serguei; Kovalevskij, Artyom A stability criterion via fluid limits and its application to a polling system. (English) Zbl 0945.90013 Queueing Syst. 32, No. 1-3, 131-168 (1999). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{S. Foss} and \textit{A. Kovalevskij}, Queueing Syst. 32, No. 1--3, 131--168 (1999; Zbl 0945.90013) Full Text: DOI
Altman, Eitan; Foss, Serguei; Riehl, Eric; Stidham, Shaler jun. Performance bounds and pathwise stability for generalized vacation and polling systems. (English) Zbl 0987.90019 Oper. Res. 46, No. 1, 137-148 (1998). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{E. Altman} et al., Oper. Res. 46, No. 1, 137--148 (1998; Zbl 0987.90019) Full Text: DOI Link
Foss, Serguei; Last, Günter On the stability of greedy polling systems with general service policies. (English) Zbl 0962.60099 Probab. Eng. Inf. Sci. 12, No. 1, 49-68 (1998). Reviewer: R.Schassberger (Braunschweig) MSC: 60K25 PDFBibTeX XMLCite \textit{S. Foss} and \textit{G. Last}, Probab. Eng. Inf. Sci. 12, No. 1, 49--68 (1998; Zbl 0962.60099) Full Text: DOI
Foss, Serguei; Chernova, Natalia On the stability of a partially accessible multi-station queue with state-dependent routing. (English) Zbl 0915.60089 Queueing Syst. 29, No. 1, 55-73 (1998). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. Foss} and \textit{N. Chernova}, Queueing Syst. 29, No. 1, 55--73 (1998; Zbl 0915.60089) Full Text: DOI
Foss, S. G.; Tweedie, R. L. Perfect simulation and backward coupling. (English) Zbl 0934.60088 Commun. Stat., Stochastic Models 14, No. 1-2, 187-203 (1998). MSC: 60K30 60J10 60K05 PDFBibTeX XMLCite \textit{S. G. Foss} and \textit{R. L. Tweedie}, Commun. Stat., Stochastic Models 14, No. 1--2, 187--203 (1998; Zbl 0934.60088) Full Text: DOI
Baccelli, François; Foss, Serguei; Mairesse, Jean Stationary ergodic Jackson networks: Results and counter-examples. (English) Zbl 0856.60090 Kelly, F. P. (ed.) et al., Stochastic networks: theory and applications. Selected papers of the Royal Statistical Society research workshop, Edinburgh, GB, August 1–11, 1995. Oxford: Clarendon Press. R. Stat. Soc. Lect. Note Ser. 4, 281-307 (1996). MSC: 60K20 60K25 PDFBibTeX XMLCite \textit{F. Baccelli} et al., in: Stochastic networks: theory and applications. Selected papers of the Royal Statistical Society research workshop, Edinburgh, GB, August 1--11, 1995. Oxford: Clarendon Press. 281--307 (1996; Zbl 0856.60090)
Foss, Serguei; Last, Günter Stability of polling systems with exhaustive service policies and state-dependent routing. (English) Zbl 0863.60091 Ann. Appl. Probab. 6, No. 1, 116-137 (1996). MSC: 60K25 60J27 PDFBibTeX XMLCite \textit{S. Foss} and \textit{G. Last}, Ann. Appl. Probab. 6, No. 1, 116--137 (1996; Zbl 0863.60091) Full Text: DOI
Foss, S. G.; Chernova, N. I. Comparison theorems and ergodic properties of polling systems. (English. Russian original) Zbl 1038.60502 Probl. Inf. Transm. 32, No. 4, 342-364 (1996); translation from Probl. Peredachi Inf. 32, No. 4, 46-71 (1996). MSC: 60K25 PDFBibTeX XMLCite \textit{S. G. Foss} and \textit{N. I. Chernova}, Probl. Inf. Transm. 32, No. 4, 342--364 (1996; Zbl 1038.60502); translation from Probl. Peredachi Inf. 32, No. 4, 46--71 (1996)
Foss, S. G.; Rybko, A. N. Stability of multiclass Jackson-type networks. (English) Zbl 0902.60081 Markov Process. Relat. Fields 2, No. 3, 461-486 (1996). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Foss} and \textit{A. N. Rybko}, Markov Process. Relat. Fields 2, No. 3, 461--486 (1996; Zbl 0902.60081)
Foss, S. G.; Chernova, N. I. On polling systems with infinitely many stations. (English. Russian original) Zbl 0882.60089 Sib. Math. J. 37, No. 4, 832-846 (1996); translation from Sib. Mat. Zh. 37, No. 4, 940-956 (1996). Reviewer: V.Cohen (Chaumont-en-Vexin) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Foss} and \textit{N. I. Chernova}, Sib. Math. J. 37, No. 4, 832--846 (1996; Zbl 0882.60089); translation from Sib. Mat. Zh. 37, No. 4, 940--956 (1996) Full Text: DOI
Baccelli, François; Foss, Serguei On the saturation rule for the stability of queues. (English) Zbl 0823.60092 J. Appl. Probab. 32, No. 2, 494-507 (1995). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{F. Baccelli} and \textit{S. Foss}, J. Appl. Probab. 32, No. 2, 494--507 (1995; Zbl 0823.60092) Full Text: DOI Link
Baccelli, François; Foss, Serguei Ergodicity of Jackson-type queueing networks. (English) Zbl 0826.60081 Queueing Syst. 17, No. 1-2, 5-72 (1994). Reviewer: V.V.Kalashnikov (Moskva) MSC: 60K20 60K25 90B22 90B15 PDFBibTeX XMLCite \textit{F. Baccelli} and \textit{S. Foss}, Queueing Syst. 17, No. 1--2, 5--72 (1994; Zbl 0826.60081) Full Text: DOI
Borovkov, A.; Foss, S. G. Two ergodicity criteria for stochastically recursive sequences. (English) Zbl 0810.60029 Acta Appl. Math. 34, No. 1-2, 125-134 (1994). Reviewer: H.Daduna (Hamburg) MSC: 60F15 11B37 60J10 60K25 60J05 PDFBibTeX XMLCite \textit{A. Borovkov} and \textit{S. G. Foss}, Acta Appl. Math. 34, No. 1--2, 125--134 (1994; Zbl 0810.60029) Full Text: DOI
Borovkov, A. A.; Foss, S. G. Stochastically recursive sequences and their generalizations. (English. Russian original) Zbl 0848.60025 Sib. Adv. Math. 2, No. 1, 16-81 (1992); translation from Tr. Inst. Mat. SO RAN 20, 32-103 (1993). MSC: 60Fxx 60J10 60K15 60G10 PDFBibTeX XMLCite \textit{A. A. Borovkov} and \textit{S. G. Foss}, Sib. Adv. Math. 2, No. 1, 1 (1993; Zbl 0848.60025); translation from Tr. Inst. Mat. SO RAN 20, 32--103 (1993)
Asmussen, S.; Foss, S. G. Renovation, regeneration, and coupling in multiple-server queues in continuous time. (English) Zbl 0814.60087 Niemi, H. (ed.) et al., Proceedings of the Third Finnish-Soviet symposium on probability theory and mathematical statistics. Turku, Finland, August 13-16, 1991. Utrecht: VSP. Front. Pure Appl. Probab. 1, 1-6 (1993). Reviewer: V.V.Kalashnikov (Moskva) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. Asmussen} and \textit{S. G. Foss}, Front. Pure Appl. Probab. 1, 1--6 (1993; Zbl 0814.60087)
Foss, S. G. On the ergodicity conditions for stochastically recursive sequences. (English) Zbl 0828.60024 Queueing Syst. 12, No. 3-4, 287-296 (1992). Reviewer: V.Schmidt (MR 93m:60071) MSC: 60G10 60K25 PDFBibTeX XMLCite \textit{S. G. Foss}, Queueing Syst. 12, No. 3--4, 287--296 (1992; Zbl 0828.60024) Full Text: DOI
Foss, S. G.; Kalashnikov, V. V. Regeneration and renovation in queues. (English) Zbl 0728.60090 Queueing Syst. 8, No. 3, 211-224 (1991). Reviewer: E.A.van Doorn (Enschede) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Foss} and \textit{V. V. Kalashnikov}, Queueing Syst. 8, No. 3, 211--224 (1991; Zbl 0728.60090) Full Text: DOI
Foss, S. G. Ergodicity of queuing networks. (English. Russian original) Zbl 0778.60067 Sib. Math. J. 32, No. 4, 690-705 (1991); translation from Sib. Mat. Zh. 32, No. 4(188), 184-203 (1991). MSC: 60K25 90B22 60K20 PDFBibTeX XML
Foss, S. G. Ergodicity of queueing networks. (Russian) Zbl 0758.60098 Sib. Mat. Zh. 32, No. 4(188), 184-203 (1991). Reviewer: V.V.Kalashnikov (Moskva) MSC: 60K25 90B22 60K20 PDFBibTeX XMLCite \textit{S. G. Foss}, Sib. Mat. Zh. 32, No. 4(188), 184--203 (1991; Zbl 0758.60098) Full Text: EuDML
Foss, S. G. Some properties of open queueing networks. (English. Russian original) Zbl 0708.90031 Probl. Inf. Transm. 25, No. 3, 241-246 (1989); translation from Probl. Peredachi Inf. 25, No. 3, 90-97 (1989). MSC: 90B22 60K25 90B15 60K20 68M10 68M20 PDFBibTeX XMLCite \textit{S. G. Foss}, Probl. Inf. Transm. 25, No. 3, 241--246 (1989; Zbl 0708.90031); translation from Probl. Peredachi Inf. 25, No. 3, 90--97 (1989)
Foss, S. G. Some properties of open queueing networks. (Russian) Zbl 0689.90033 Probl. Peredachi Inf. 25, No. 3, 90-97 (1989). Reviewer: A.Dvurečenskij MSC: 90B22 60K25 68M20 90B10 PDFBibTeX XMLCite \textit{S. G. Foss}, Probl. Peredachi Inf. 25, No. 3, 90--97 (1989; Zbl 0689.90033)
Foss, S. G. On a method for estimation of the convergence rate in theorems of ergodicity and continuity for multichannel service systems. (Russian) Zbl 0586.60090 Predel’nye Teoremy Teorii Veroyatnostej, Tr. Inst. Mat. 5, 126-137 (1985). Reviewer: J.Morozov MSC: 60K25 90B22 PDFBibTeX XML
Foss, S. G. Queues with customers of several types. (English) Zbl 0539.90028 Advances in probability theory: Limit theorems and related problems, Transl. Ser. Math. Eng., 348-377 (1984). MSC: 90B22 60K25 PDFBibTeX XML
Foss, S. G. Conditions for ergodicity in queues with many servers and waiting. (English) Zbl 0559.60076 Sib. Math. J. 24, 961-968 (1983). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Foss}, Sib. Math. J. 24, 961--968 (1983; Zbl 0559.60076) Full Text: DOI
Foss, S. G. On ergodicity conditions in multichannel queueing systems with expectation. (Russian) Zbl 0536.60091 Sib. Mat. Zh. 24, No. 6(142), 168-175 (1983). Reviewer: J.Morozov MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Foss}, Sib. Mat. Zh. 24, No. 6(142), 168--175 (1983; Zbl 0536.60091) Full Text: EuDML
Foss, S. G. Systems with several types of calls. (Russian) Zbl 0525.90044 Predel’nye Teoremy Teorii Veroyatnoste i Smezhnye Voprosy, Tr. Inst. Mat. 1, 186-201 (1982). MSC: 90B22 60K25 PDFBibTeX XML
Foss, S. G. Comparison of servicing strategies in multichannel queueing systems. (English) Zbl 0479.60091 Sib. Math. J. 22, 142-147 (1981). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Foss}, Sib. Math. J. 22, 142--147 (1981; Zbl 0479.60091) Full Text: DOI
Foss, S. G. Comparison of service disciplines in multichannel service systems. (Russian) Zbl 0467.60085 Sib. Mat. Zh. 22, No. 1, 190-197 (1981). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Foss}, Sib. Mat. Zh. 22, No. 1, 190--197 (1981; Zbl 0467.60085) Full Text: EuDML
Foss, S. G. Approximation of multichannel queueing systems. (English) Zbl 0461.60097 Sib. Math. J. 21, 851-857 (1981). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{S. G. Foss}, Sib. Math. J. 21, 851--857 (1981; Zbl 0461.60097) Full Text: DOI
Foss, S. G. On the approximation of multichannel service systems. (Russian) Zbl 0453.60088 Sib. Mat. Zh. 21, No. 6, 132-140 (1980). MSC: 60K25 PDFBibTeX XMLCite \textit{S. G. Foss}, Sib. Mat. Zh. 21, No. 6, 132--140 (1980; Zbl 0453.60088) Full Text: EuDML