Dimitriou, Ioannis The generalized join the shortest orbit queue system: stability, exact tail asymptotics and stationary approximations. (English) Zbl 1516.90015 Probab. Eng. Inf. Sci. 37, No. 1, 154-191 (2023). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{I. Dimitriou}, Probab. Eng. Inf. Sci. 37, No. 1, 154--191 (2023; Zbl 1516.90015) Full Text: DOI arXiv
Zhao, Yiqiang Q. The kernel method tail asymptotics analytic approach for stationary probabilities of two-dimensional queueing systems. (English) Zbl 1490.60258 Queueing Syst. 100, No. 1-2, 95-131 (2022). MSC: 60K25 60J10 PDFBibTeX XMLCite \textit{Y. Q. Zhao}, Queueing Syst. 100, No. 1--2, 95--131 (2022; Zbl 1490.60258) Full Text: DOI
Ozawa, Toshihisa Asymptotic properties of the occupation measure in a multidimensional skip-free Markov-modulated random walk. (English) Zbl 1477.60113 Queueing Syst. 97, No. 1-2, 125-161 (2021). MSC: 60J10 60K25 60G50 PDFBibTeX XMLCite \textit{T. Ozawa}, Queueing Syst. 97, No. 1--2, 125--161 (2021; Zbl 1477.60113) Full Text: DOI arXiv
Bini, Dario A.; Meini, Beatrice; Meng, Jie Solving quadratic matrix equations arising in random walks in the quarter plane. (English) Zbl 1441.15010 SIAM J. Matrix Anal. Appl. 41, No. 2, 691-714 (2020). MSC: 15A24 15B05 PDFBibTeX XMLCite \textit{D. A. Bini} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 691--714 (2020; Zbl 1441.15010) Full Text: DOI arXiv
Jiang, Tao; Liu, Lu; Ye, Qingqing; Chai, Xudong Tail asymptotics for service systems with transfers of customers in an alternating environment. (English) Zbl 1476.90087 Oper. Res. Lett. 47, No. 6, 473-477 (2019). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{T. Jiang} et al., Oper. Res. Lett. 47, No. 6, 473--477 (2019; Zbl 1476.90087) Full Text: DOI
Bini, Dario A.; Meini, Beatrice On the exponential of semi-infinite quasi-Toeplitz matrices. (English) Zbl 1407.15036 Numer. Math. 141, No. 2, 319-351 (2019). MSC: 15B05 65F60 15A16 47B35 PDFBibTeX XMLCite \textit{D. A. Bini} and \textit{B. Meini}, Numer. Math. 141, No. 2, 319--351 (2019; Zbl 1407.15036) Full Text: DOI arXiv
Bini, Dario A.; Massei, Stefano; Meini, Beatrice Semi-infinite quasi-Toeplitz matrices with applications to QBD stochastic processes. (English) Zbl 1393.15038 Math. Comput. 87, No. 314, 2811-2830 (2018). MSC: 15B05 15A16 65F60 60J10 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Math. Comput. 87, No. 314, 2811--2830 (2018; Zbl 1393.15038) Full Text: DOI arXiv
Kapodistria, Stella; Palmowski, Zbigniew Matrix geometric approach for random walks: stability condition and equilibrium distribution. (English) Zbl 1383.60038 Stoch. Models 33, No. 4, 572-597 (2017). MSC: 60G50 60K25 90B22 PDFBibTeX XMLCite \textit{S. Kapodistria} and \textit{Z. Palmowski}, Stoch. Models 33, No. 4, 572--597 (2017; Zbl 1383.60038) Full Text: DOI arXiv
Jiang, Tao; Liu, Li-Wei Tail asymptotics of two parallel queues with transfers of customers. (English) Zbl 1368.90050 J. Oper. Res. Soc. China 4, No. 3, 335-346 (2016). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{L.-W. Liu}, J. Oper. Res. Soc. China 4, No. 3, 335--346 (2016; Zbl 1368.90050) Full Text: DOI
Ozawa, Toshihisa Asymptotics for the sojourn time distribution in the queue defined by a general QBD process with a countable phase space. (English) Zbl 1307.60133 Queueing Syst. 76, No. 1, 73-103 (2014). MSC: 60K25 60J27 60J22 90B22 PDFBibTeX XMLCite \textit{T. Ozawa}, Queueing Syst. 76, No. 1, 73--103 (2014; Zbl 1307.60133) Full Text: DOI
Zhang, Hongbo; Shi, Dinghua; Hou, Zhenting Explicit solution for queue length distribution of M/T-SPH/1 queue. (English) Zbl 1302.90053 Asia-Pac. J. Oper. Res. 31, No. 1, Article ID 1450001, 19 p. (2014). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{H. Zhang} et al., Asia-Pac. J. Oper. Res. 31, No. 1, Article ID 1450001, 19 p. (2014; Zbl 1302.90053) Full Text: DOI
Zhang, Hongbo; Hou, Zhenting; Shi, Dinghua Analysis of stationary queue length distribution for Geo/T-IPH/1 queue. (English) Zbl 1279.60122 J. Oper. Res. Soc. China 1, No. 3, 415-424 (2013). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Oper. Res. Soc. China 1, No. 3, 415--424 (2013; Zbl 1279.60122) Full Text: DOI
Ozawa, Toshihisa Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process. (English) Zbl 1277.60119 Queueing Syst. 74, No. 2-3, 109-149 (2013). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J10 60J22 60K25 PDFBibTeX XMLCite \textit{T. Ozawa}, Queueing Syst. 74, No. 2--3, 109--149 (2013; Zbl 1277.60119) Full Text: DOI
Kobayashi, Masahiro; Sakuma, Yutaka; Miyazawa, Masakiyo Join the shortest queue among \(k\) parallel queues: tail asymptotics of its stationary distribution. (English) Zbl 1277.60158 Queueing Syst. 74, No. 2-3, 303-332 (2013). Reviewer: Laszlo Lakatos (Budapest) MSC: 60K25 60G50 60J27 90B22 PDFBibTeX XMLCite \textit{M. Kobayashi} et al., Queueing Syst. 74, No. 2--3, 303--332 (2013; Zbl 1277.60158) Full Text: DOI arXiv
Miyazawa, Masakiyo Light tail asymptotics in multidimensional reflecting processes for queueing networks. (English) Zbl 1280.60051 Top 19, No. 2, 233-299 (2011). Reviewer: Hans Daduna (Hamburg) MSC: 60K25 90B15 60G50 60F10 PDFBibTeX XMLCite \textit{M. Miyazawa}, Top 19, No. 2, 233--299 (2011; Zbl 1280.60051) Full Text: DOI
Latouche, Guy; Nguyen, Giang T.; Taylor, Peter G. Queues with boundary assistance: The effects of truncation. (English) Zbl 1238.60085 Queueing Syst. 69, No. 2, 175-197 (2011). Reviewer: Andreas Brandt (Berlin) MSC: 60J27 90B22 60K25 PDFBibTeX XMLCite \textit{G. Latouche} et al., Queueing Syst. 69, No. 2, 175--197 (2011; Zbl 1238.60085) Full Text: DOI
Xue, Jungong; Alfa, Attahiru S. Geometric tail of queue length of low-priority customers in a nonpreemptive priority MAP/PH/1 queue. (English) Zbl 1238.60106 Queueing Syst. 69, No. 1, 45-76 (2011). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Xue} and \textit{A. S. Alfa}, Queueing Syst. 69, No. 1, 45--76 (2011; Zbl 1238.60106) Full Text: DOI
Guillemin, Fabrice; van Leeuwaarden, Johan S. H. Rare event asymptotics for a random walk in the quarter plane. (English) Zbl 1210.60100 Queueing Syst. 67, No. 1, 1-32 (2011). Reviewer: Vyacheslav Abramov (Melbourne) MSC: 60K25 60F10 PDFBibTeX XMLCite \textit{F. Guillemin} and \textit{J. S. H. van Leeuwaarden}, Queueing Syst. 67, No. 1, 1--32 (2011; Zbl 1210.60100) Full Text: DOI
Sakuma, Yutaka Asymptotic behavior for MAP/PH/\(c\) queue with shortest queue discipline and jockeying. (English) Zbl 1182.90026 Oper. Res. Lett. 38, No. 1, 7-10 (2010). MSC: 90B22 PDFBibTeX XMLCite \textit{Y. Sakuma}, Oper. Res. Lett. 38, No. 1, 7--10 (2010; Zbl 1182.90026) Full Text: DOI
Li, Hui; Zhao, Yiqiang Q. Exact tail asymptotics in a priority queue – characterizations of the preemptive model. (English) Zbl 1209.90116 Queueing Syst. 63, No. 1-4, 355-381 (2009). MSC: 90B22 60K25 30E15 60J10 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Q. Zhao}, Queueing Syst. 63, No. 1--4, 355--381 (2009; Zbl 1209.90116) Full Text: DOI
Xie, Jingui; He, Qi-Ming; Zhao, Xiaobo On the stationary distribution of queue lengths in a multi-class priority queueing system with customer transfers. (English) Zbl 1196.60155 Queueing Syst. 62, No. 3, 255-277 (2009). Reviewer: Andreas Brandt (Berlin) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Xie} et al., Queueing Syst. 62, No. 3, 255--277 (2009; Zbl 1196.60155) Full Text: DOI
He, Qi-Ming; Li, Hui; Zhao, Yiqiang Q. Light-tailed behavior in QBD processes with countably many phases. (English) Zbl 1159.60348 Stoch. Models 25, No. 1, 50-75 (2009). MSC: 60K25 60J99 PDFBibTeX XMLCite \textit{Q.-M. He} et al., Stoch. Models 25, No. 1, 50--75 (2009; Zbl 1159.60348) Full Text: DOI
Di Crescenzo, Antonio; Martinucci, Barbara A first-passage-time problem for symmetric and similar two-dimensional birth-death processes. (English) Zbl 1148.60064 Stoch. Models 24, No. 3, 451-469 (2008). MSC: 60J80 60J85 60G40 PDFBibTeX XMLCite \textit{A. Di Crescenzo} and \textit{B. Martinucci}, Stoch. Models 24, No. 3, 451--469 (2008; Zbl 1148.60064) Full Text: DOI
Lian, Zhaotong; Liu, Liming A tandem network with MAP inputs. (English) Zbl 1179.90052 Oper. Res. Lett. 36, No. 2, 189-195 (2008). MSC: 90B10 90B22 PDFBibTeX XMLCite \textit{Z. Lian} and \textit{L. Liu}, Oper. Res. Lett. 36, No. 2, 189--195 (2008; Zbl 1179.90052) Full Text: DOI
Tang, Jiashan; Zhao, Yiqiang Q. Stationary tail asymptotics of a tandem queue with feedback. (English) Zbl 1153.60049 Ann. Oper. Res. 160, 173-189 (2008). Reviewer: Andreas Brandt (Berlin) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{J. Tang} and \textit{Y. Q. Zhao}, Ann. Oper. Res. 160, 173--189 (2008; Zbl 1153.60049) Full Text: DOI
Lian, Z.; Liu, Xiaoming; Liu, L. Discriminatory processor sharing queues and the DREB method. (English) Zbl 1173.90365 Stoch. Models 24, No. 1, 19-40 (2008). MSC: 90B22 68M20 PDFBibTeX XMLCite \textit{Z. Lian} et al., Stoch. Models 24, No. 1, 19--40 (2008; Zbl 1173.90365) Full Text: DOI
Li, Hui; Miyazawa, Masakiyo; Zhao, Yiqiang Q. Geometric decay in a QBD process with countable background states with applications to a join-the-shortest-queue model. (English) Zbl 1124.60074 Stoch. Models 23, No. 3, 413-438 (2007). MSC: 60K25 60K20 60F10 90B22 68M20 PDFBibTeX XMLCite \textit{H. Li} et al., Stoch. Models 23, No. 3, 413--438 (2007; Zbl 1124.60074) Full Text: DOI
Li, Quan-Lin; Lin, Chuang Continuous-time QBD processes with continuous phase variable. (English) Zbl 1131.60070 Comput. Math. Appl. 52, No. 10-11, 1483-1510 (2006). MSC: 60J27 60K25 PDFBibTeX XMLCite \textit{Q.-L. Li} and \textit{C. Lin}, Comput. Math. Appl. 52, No. 10--11, 1483--1510 (2006; Zbl 1131.60070) Full Text: DOI
Vishnevskii, V. M.; Semenova, O. V. Mathematical methods to study the polling systems. (English. Russian original) Zbl 1126.60321 Autom. Remote Control 67, No. 2, 173-220 (2006); translation from Avtom. Telemekh. 2006, No. 2, 3-56 (2006). MSC: 60K30 60K25 90B22 PDFBibTeX XMLCite \textit{V. M. Vishnevskii} and \textit{O. V. Semenova}, Autom. Remote Control 67, No. 2, 173--220 (2006; Zbl 1126.60321); translation from Avtom. Telemekh. 2006, No. 2, 3--56 (2006) Full Text: DOI
Sakuma, Yutaka; Miyazawa, Masakiyo; Zhao, Yiqiang Q. Decay rate for a PH/M/2 queue with shortest queue discipline. (English) Zbl 1099.60063 Queueing Syst. 53, No. 4, 189-201 (2006). MSC: 60K25 60K20 60F10 90B22 PDFBibTeX XMLCite \textit{Y. Sakuma} et al., Queueing Syst. 53, No. 4, 189--201 (2006; Zbl 1099.60063) Full Text: DOI
Motyer, Allan J.; Taylor, Peter G. Decay rates for quasi-birth-and-death processes with countably many phases and tridiagonal block generators. (English) Zbl 1101.60073 Adv. Appl. Probab. 38, No. 2, 522-544 (2006). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 60K20 90B22 60J80 PDFBibTeX XMLCite \textit{A. J. Motyer} and \textit{P. G. Taylor}, Adv. Appl. Probab. 38, No. 2, 522--544 (2006; Zbl 1101.60073) Full Text: DOI
Sakuma, Yutaka; Miyazawa, Masakiyo On the effect of finite buffer truncation in a two-node Jackson network. (English) Zbl 1077.60070 J. Appl. Probab. 42, No. 1, 199-222 (2005). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 60F10 60J10 60K20 PDFBibTeX XMLCite \textit{Y. Sakuma} and \textit{M. Miyazawa}, J. Appl. Probab. 42, No. 1, 199--222 (2005; Zbl 1077.60070) Full Text: DOI
Li, Hui; Zhao, Yiqiang Q. A retrial queue with a constant retrial rate, server downs and impatient customers. (English) Zbl 1069.60076 Stoch. Models 21, No. 2-3, 531-550 (2005). MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y. Q. Zhao}, Stoch. Models 21, No. 2--3, 531--550 (2005; Zbl 1069.60076) Full Text: DOI
Haque, Lani; Zhao, Yiqiang Q.; Liu, Liming Sufficient conditions for a geometric tail in a QBD process with many countable levels and phases. (English) Zbl 1065.60133 Stoch. Models 21, No. 1, 77-99 (2005). MSC: 60K25 PDFBibTeX XMLCite \textit{L. Haque} et al., Stoch. Models 21, No. 1, 77--99 (2005; Zbl 1065.60133) Full Text: DOI
Foley, Robert D.; McDonald, David R. Bridges and networks: exact asymptotics. (English) Zbl 1085.60068 Ann. Appl. Probab. 15, No. 1B, 542-586 (2005). Reviewer: D. N. Shanbhag (Sheffield) MSC: 60K25 60K20 PDFBibTeX XMLCite \textit{R. D. Foley} and \textit{D. R. McDonald}, Ann. Appl. Probab. 15, No. 1B, 542--586 (2005; Zbl 1085.60068) Full Text: DOI arXiv
Miyazawa, Masakiyo; Zhao, Yiqiang Q. The stationary tail asymptotics in the \(GI/G/1\)-type queue with countably many background states. (English) Zbl 1136.60366 Adv. Appl. Probab. 36, No. 4, 1231-1251 (2004). MSC: 60K25 60K15 68M20 PDFBibTeX XMLCite \textit{M. Miyazawa} and \textit{Y. Q. Zhao}, Adv. Appl. Probab. 36, No. 4, 1231--1251 (2004; Zbl 1136.60366) Full Text: DOI
Kroese, D. P.; Scheinhardt, W. R. W.; Taylor, P. G. Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process. (English) Zbl 1078.60078 Ann. Appl. Probab. 14, No. 4, 2057-2089 (2004). Reviewer: Hans Daduna (Hamburg) MSC: 60K25 60J27 PDFBibTeX XMLCite \textit{D. P. Kroese} et al., Ann. Appl. Probab. 14, No. 4, 2057--2089 (2004; Zbl 1078.60078) Full Text: DOI arXiv Euclid