Fernández, Lidia; de la Iglesia, Manuel D. QBD processes associated with Jacobi-Koornwinder bivariate polynomials and urn models. (English) Zbl 1526.60049 Mediterr. J. Math. 20, No. 6, Paper No. 290, 23 p. (2023). MSC: 60J80 33C45 42C05 PDFBibTeX XMLCite \textit{L. Fernández} and \textit{M. D. de la Iglesia}, Mediterr. J. Math. 20, No. 6, Paper No. 290, 23 p. (2023; Zbl 1526.60049) Full Text: DOI arXiv
Liu, Heng-Li; Li, Quan-Lin Matched queues with flexible and impatient customers. (English) Zbl 1515.60289 Methodol. Comput. Appl. Probab. 25, No. 1, Paper No. 4, 26 p. (2023). MSC: 60K25 60J27 68M20 90B22 PDFBibTeX XMLCite \textit{H.-L. Liu} and \textit{Q.-L. Li}, Methodol. Comput. Appl. Probab. 25, No. 1, Paper No. 4, 26 p. (2023; Zbl 1515.60289) Full Text: DOI
Ozawa, Toshihisa Tail asymptotics in any direction of the stationary distribution in a two-dimensional discrete-time QBD process. (English) Zbl 1501.60037 Queueing Syst. 102, No. 1-2, 227-267 (2022). MSC: 60J10 60K25 PDFBibTeX XMLCite \textit{T. Ozawa}, Queueing Syst. 102, No. 1--2, 227--267 (2022; Zbl 1501.60037) Full Text: DOI arXiv
Liu, Heng-Li; Li, Quan-Lin; Chang, Yan-Xia; Zhang, Chi Double-ended queues with non-Poisson inputs and their effective algorithms. (English) Zbl 1520.60060 Comput. Oper. Res. 144, Article ID 105793, 18 p. (2022). MSC: 60K25 90B22 60J80 PDFBibTeX XMLCite \textit{H.-L. Liu} et al., Comput. Oper. Res. 144, Article ID 105793, 18 p. (2022; Zbl 1520.60060) Full Text: DOI arXiv
Granville, Kevin; Drekic, Steve The unobserved waiting customer approximation. (English) Zbl 1481.60145 Queueing Syst. 99, No. 3-4, 345-396 (2021). MSC: 60J27 60K25 PDFBibTeX XMLCite \textit{K. Granville} and \textit{S. Drekic}, Queueing Syst. 99, No. 3--4, 345--396 (2021; Zbl 1481.60145) Full Text: DOI
Fackrell, Mark; Taylor, Peter; Wang, Jiesen Strategic customer behavior in an \(M/M/1\) feedback queue. (English) Zbl 1478.90025 Queueing Syst. 97, No. 3-4, 223-259 (2021). MSC: 90B22 91A10 PDFBibTeX XMLCite \textit{M. Fackrell} et al., Queueing Syst. 97, No. 3--4, 223--259 (2021; Zbl 1478.90025) Full Text: DOI arXiv
Lv, Shengli; Zhu, Lingmin; Li, Jingbo \(M/M/1\) repairable queuing system with variable failure rates and repair rates. (Chinese. English summary) Zbl 1488.90030 Math. Pract. Theory 51, No. 9, 250-255 (2021). MSC: 90B22 90B25 60J80 PDFBibTeX XMLCite \textit{S. Lv} et al., Math. Pract. Theory 51, No. 9, 250--255 (2021; Zbl 1488.90030)
Finch, Steven; Latouche, Guy; Louchard, Guy; Meini, Beatrice Traffic lights, clumping and QBDs. (English) Zbl 1469.60285 Stoch. Models 37, No. 1, 102-126 (2021). MSC: 60K25 60K30 90B20 60J85 PDFBibTeX XMLCite \textit{S. Finch} et al., Stoch. Models 37, No. 1, 102--126 (2021; Zbl 1469.60285) Full Text: DOI arXiv
Fernández, Lidia; de la Iglesia, Manuel D. Quasi-birth-and-death processes and multivariate orthogonal polynomials. (English) Zbl 1465.60077 J. Math. Anal. Appl. 499, No. 1, Article ID 125029, 33 p. (2021). MSC: 60J80 42C05 PDFBibTeX XMLCite \textit{L. Fernández} and \textit{M. D. de la Iglesia}, J. Math. Anal. Appl. 499, No. 1, Article ID 125029, 33 p. (2021; Zbl 1465.60077) Full Text: DOI arXiv
Diao, Jiahao; Stark, Tristan L.; Liberles, David A.; O’Reilly, Małgorzata M.; Holland, Barbara R. Level-dependent QBD models for the evolution of a family of gene duplicates. (English) Zbl 1451.60085 Stoch. Models 36, No. 2, 285-311 (2020). MSC: 60J28 92D10 PDFBibTeX XMLCite \textit{J. Diao} et al., Stoch. Models 36, No. 2, 285--311 (2020; Zbl 1451.60085) Full Text: DOI
Samuelson, Aviva; O’Reilly, Małgorzata M.; Bean, Nigel G. Construction of algorithms for discrete-time quasi-birth-and-death processes through physical interpretation. (English) Zbl 1451.60099 Stoch. Models 36, No. 2, 193-222 (2020). MSC: 60J85 60J22 60J10 60J28 PDFBibTeX XMLCite \textit{A. Samuelson} et al., Stoch. Models 36, No. 2, 193--222 (2020; Zbl 1451.60099) Full Text: DOI Link
Granville, Kevin; Drekic, Steve A 2-class maintenance model with dynamic server behavior. (English) Zbl 1434.90045 Top 28, No. 1, 34-96 (2020). MSC: 90B25 60K25 60J28 PDFBibTeX XMLCite \textit{K. Granville} and \textit{S. Drekic}, Top 28, No. 1, 34--96 (2020; Zbl 1434.90045) Full Text: DOI Link
Efrosinin, Dmitry; Gudkova, Irina; Stepanova, Natalia Performance analysis and optimal control for queueing system with a reserve unreliable server pool. (English) Zbl 1455.90039 Dudin, Alexander (ed.) et al., Information technologies and mathematical modelling. Queueing theory and applications. 18th international conference, ITMM 2019, named after A. F. Terpugov, Saratov, Russia, June 26–30, 2019. Revised selected papers. Cham: Springer. Commun. Comput. Inf. Sci. 1109, 109-120 (2019). MSC: 90B22 90B25 90C59 60J80 PDFBibTeX XMLCite \textit{D. Efrosinin} et al., Commun. Comput. Inf. Sci. 1109, 109--120 (2019; Zbl 1455.90039) Full Text: DOI
Hideyama, Shinto; Phung-Duc, Tuan; Okada, Yukihiko Queueing analysis of home delivery services with parcel lockers. (English) Zbl 1437.90051 Phung-Duc, Tuan (ed.) et al., Queueing theory and network applications. 14th international conference, QTNA 2019, Ghent, Belgium, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11688, 351-368 (2019). MSC: 90B22 60K25 60J80 PDFBibTeX XMLCite \textit{S. Hideyama} et al., Lect. Notes Comput. Sci. 11688, 351--368 (2019; Zbl 1437.90051) Full Text: DOI
Yang, Xijuan; Li, Zhongxue; Li, Suoping; Wu, Fu Performance analysis of M/M/1/N queue with setup time and working breakdown. (Chinese. English summary) Zbl 1438.90083 Control Theory Appl. 36, No. 4, 561-569 (2019). MSC: 90B22 60K25 60J80 PDFBibTeX XMLCite \textit{X. Yang} et al., Control Theory Appl. 36, No. 4, 561--569 (2019; Zbl 1438.90083) Full Text: DOI
Zhou, Zonghao; Zhou, Zhenchuan; Zhu, Yijun; Shi, Zhiyan; Bao, Zhihui Analysis of the single working vacation and vacation interruption G-queue with setup times. (English) Zbl 1438.90086 Chin. J. Eng. Math. 36, No. 3, 344-358 (2019). MSC: 90B22 60K25 60J80 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Chin. J. Eng. Math. 36, No. 3, 344--358 (2019; Zbl 1438.90086) Full Text: DOI
Grünbaum, F. Alberto; de la Iglesia, Manuel D. Stochastic Darboux transformations for quasi-birth-and-death processes and urn models. (English) Zbl 1479.60151 J. Math. Anal. Appl. 478, No. 2, 634-654 (2019). MSC: 60J10 60J80 33C45 22E45 PDFBibTeX XMLCite \textit{F. A. Grünbaum} and \textit{M. D. de la Iglesia}, J. Math. Anal. Appl. 478, No. 2, 634--654 (2019; Zbl 1479.60151) Full Text: DOI arXiv
Dendievel, Sarah; Hautphenne, Sophie; Latouche, Guy; Taylor, Peter G. The time-dependent expected reward and deviation matrix of a finite QBD process. (English) Zbl 1414.60066 Linear Algebra Appl. 570, 61-92 (2019). MSC: 60J27 15A24 47A55 15A09 90B22 PDFBibTeX XMLCite \textit{S. Dendievel} et al., Linear Algebra Appl. 570, 61--92 (2019; Zbl 1414.60066) Full Text: DOI arXiv
Granville, Kevin; Drekic, Steve On a 2-class polling model with reneging and \(k_i\)-limited service. (English) Zbl 1410.90069 Ann. Oper. Res. 274, No. 1-2, 267-290 (2019). MSC: 90B25 60J80 60G15 PDFBibTeX XMLCite \textit{K. Granville} and \textit{S. Drekic}, Ann. Oper. Res. 274, No. 1--2, 267--290 (2019; Zbl 1410.90069) Full Text: DOI
Ozawa, Toshihisa; Kobayashi, Masahiro Exact asymptotic formulae of the stationary distribution of a discrete-time two-dimensional QBD process. (English) Zbl 1418.60108 Queueing Syst. 90, No. 3-4, 351-403 (2018). MSC: 60J10 60K25 PDFBibTeX XMLCite \textit{T. Ozawa} and \textit{M. Kobayashi}, Queueing Syst. 90, No. 3--4, 351--403 (2018; Zbl 1418.60108) Full Text: DOI arXiv
Silva, Daniel F.; Zhang, Bo; Ayhan, Hayriye Admission control strategies for tandem Markovian loss systems. (English) Zbl 1418.90089 Queueing Syst. 90, No. 1-2, 35-63 (2018). MSC: 90B22 90C40 PDFBibTeX XMLCite \textit{D. F. Silva} et al., Queueing Syst. 90, No. 1--2, 35--63 (2018; Zbl 1418.90089) Full Text: DOI
Liu, Yuanyuan; Li, Wendi; Masuyama, Hiroyuki Error bounds for augmented truncation approximations of continuous-time Markov chains. (English) Zbl 1525.60097 Oper. Res. Lett. 46, No. 4, 409-413 (2018). MSC: 60J27 60J28 60K25 90B22 PDFBibTeX XMLCite \textit{Y. Liu} et al., Oper. Res. Lett. 46, No. 4, 409--413 (2018; Zbl 1525.60097) Full Text: DOI
de la Iglesia, Manuel D.; Román, Pablo Some bivariate stochastic models arising from group representation theory. (English) Zbl 1401.60138 Stochastic Processes Appl. 128, No. 10, 3300-3326 (2018). MSC: 60J10 60J60 33C45 42C05 PDFBibTeX XMLCite \textit{M. D. de la Iglesia} and \textit{P. Román}, Stochastic Processes Appl. 128, No. 10, 3300--3326 (2018; Zbl 1401.60138) Full Text: DOI arXiv Link
Ma, Zhanyou; Wang, Wenbo; Wang, Zhe; Cao, Jian The discrete time working vacation queue with non-preemptive priority and variable service rates. (Chinese. English summary) Zbl 1413.90074 J. Henan Norm. Univ., Nat. Sci. 46, No. 1, 23-28 (2018). MSC: 90B22 60K25 60J80 PDFBibTeX XMLCite \textit{Z. Ma} et al., J. Henan Norm. Univ., Nat. Sci. 46, No. 1, 23--28 (2018; Zbl 1413.90074) Full Text: DOI
Efrosinin, Dmitry; Sztrik, Janos An algorithmic approach to analysing the reliability of a controllable unreliable queue with two heterogeneous servers. (English) Zbl 1403.90237 Eur. J. Oper. Res. 271, No. 3, 934-952 (2018). MSC: 90B22 60J28 60K25 90B25 PDFBibTeX XMLCite \textit{D. Efrosinin} and \textit{J. Sztrik}, Eur. J. Oper. Res. 271, No. 3, 934--952 (2018; Zbl 1403.90237) Full Text: DOI
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
Liu, Yuanyuan; Wang, Pengfei; Zhao, Yiqiang Q. The variance constant for continuous-time level dependent quasi-birth-and-death processes. (English) Zbl 1386.60262 Stoch. Models 34, No. 1, 25-44 (2018). MSC: 60J27 62J10 60K30 90B22 60K25 PDFBibTeX XMLCite \textit{Y. Liu} et al., Stoch. Models 34, No. 1, 25--44 (2018; Zbl 1386.60262) Full Text: DOI
Pérez, Juan F.; Silva, Daniel F.; Góez, Julio C.; Sarmiento, Andrés; Sarmiento-Romero, Andrés; Akhavan-Tabatabaei, Raha; Riaño, Germán Algorithm 972: jMarkov: an integrated framework for Markov chain modeling. (English) Zbl 1391.90633 ACM Trans. Math. Softw. 43, No. 3, Article No. 29, 22 p. (2017). MSC: 90C40 60J22 90-04 PDFBibTeX XMLCite \textit{J. F. Pérez} et al., ACM Trans. Math. Softw. 43, No. 3, Article No. 29, 22 p. (2017; Zbl 1391.90633) Full Text: DOI
Zhang, Yuying; Yue, Dequan; Zhang, Xuemei The inventory system with server’s vacations. (Chinese. English summary) Zbl 1399.90018 Math. Pract. Theory 47, No. 23, 189-196 (2017). MSC: 90B05 60J80 60G12 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Math. Pract. Theory 47, No. 23, 189--196 (2017; Zbl 1399.90018)
Ma, Zhanyou; Xu, Minjie; Zheng, Xiaoming; Wang, Wenbo The Geom/Geom/\({1+1}\) queue system with server breakdowns and a spare server with setup time. (Chinese. English summary) Zbl 1389.90093 J. Northwest Norm. Univ., Nat. Sci. 53, No. 3, 28-33 (2017). MSC: 90B22 60K25 60J80 PDFBibTeX XMLCite \textit{Z. Ma} et al., J. Northwest Norm. Univ., Nat. Sci. 53, No. 3, 28--33 (2017; Zbl 1389.90093) Full Text: DOI
Masuyama, Hiroyuki Error bounds for last-column-block-augmented truncations of block-structured Markov chains. (English) Zbl 1387.90069 J. Oper. Res. Soc. Japan 60, No. 3, 271-320 (2017); corrigendum ibid. 61, No. 2, 236-238 (2018). MSC: 90B22 60J80 PDFBibTeX XMLCite \textit{H. Masuyama}, J. Oper. Res. Soc. Japan 60, No. 3, 271--320 (2017; Zbl 1387.90069) Full Text: DOI arXiv
Bini, D. A.; Latouche, G.; Meini, B. Shift techniques for quasi-birth and death processes: canonical factorizations and matrix equations. (English) Zbl 1372.65023 Appl. Numer. Math. 116, 24-36 (2017). MSC: 65C50 60J80 15A24 65F30 PDFBibTeX XMLCite \textit{D. A. Bini} et al., Appl. Numer. Math. 116, 24--36 (2017; Zbl 1372.65023) Full Text: DOI arXiv
Bacaër, Nicolas On the subcritical birth-and-death processes in a random environment. (Sur les processus linéaires de naissance et de mort sous-critiques dans un environnement aléatoire.) (French. English summary) Zbl 1373.60144 J. Math. Biol. 75, No. 1, 85-108 (2017). MSC: 60J80 92D25 PDFBibTeX XMLCite \textit{N. Bacaër}, J. Math. Biol. 75, No. 1, 85--108 (2017; Zbl 1373.60144) Full Text: DOI
Kajiwara, Kazuki; Phung-Duc, Tuan Multiserver queue with guard channel for priority and retrial customers. (English) Zbl 1398.60093 Int. J. Stoch. Anal. 2016, Article ID 7168359, 23 p. (2016). MSC: 60K25 60J80 PDFBibTeX XMLCite \textit{K. Kajiwara} and \textit{T. Phung-Duc}, Int. J. Stoch. Anal. 2016, Article ID 7168359, 23 p. (2016; Zbl 1398.60093) Full Text: DOI
Asanjarani, Azam QBD modelling of a finite state controller for queueing systems with unobservable Markovian environments. (English) Zbl 1408.90056 Proceedings of the 11th international conference on queueing theory and network applications, QTNA 2016, Wellington, New Zealand, December 13–15, 2016. New York, NY: Association for Computing Machinery (ACM). Paper No. 20, 4 p. (2016). MSC: 90B22 60K25 60J80 90C40 PDFBibTeX XMLCite \textit{A. Asanjarani}, in: Proceedings of the 11th international conference on queueing theory and network applications, QTNA 2016, Wellington, New Zealand, December 13--15, 2016. New York, NY: Association for Computing Machinery (ACM). Paper No. 20, 4 p. (2016; Zbl 1408.90056) Full Text: DOI
Selen, Jori; Adan, Ivo J. B. F.; Kulkarni, Vidyadhar G.; van Leeuwaarden, Johan S. H. The snowball effect of customer slowdown in critical many-server systems. (English) Zbl 1342.60129 Stoch. Models 32, No. 3, 366-391 (2016). MSC: 60J27 60K25 PDFBibTeX XMLCite \textit{J. Selen} et al., Stoch. Models 32, No. 3, 366--391 (2016; Zbl 1342.60129) Full Text: DOI arXiv
Katehakis, Michael N.; Smit, Laurens C.; Spieksma, Floske M. A comparative analysis of the successive lumping and the lattice path counting algorithms. (English) Zbl 1343.60109 J. Appl. Probab. 53, No. 1, 106-120 (2016). Reviewer: László Lakatos (Budapest) MSC: 60J22 60J10 60J80 60K25 65C40 68M20 PDFBibTeX XMLCite \textit{M. N. Katehakis} et al., J. Appl. Probab. 53, No. 1, 106--120 (2016; Zbl 1343.60109) Full Text: DOI arXiv Euclid
Jiang, Shuxia; Latouche, Guy; Liu, Yuanyuan Wavelet transform for quasi-birth-death process with a continuous phase set. (English) Zbl 1338.60212 Appl. Math. Comput. 252, 354-376 (2015). MSC: 60J80 42C40 PDFBibTeX XMLCite \textit{S. Jiang} et al., Appl. Math. Comput. 252, 354--376 (2015; Zbl 1338.60212) Full Text: DOI
Efrosinin, Dmitry; Winkler, Anastasia; Martin, Pinzger Confidence intervals for performance measures of M/M/1 queue with constant retrial policy. (English) Zbl 1335.90017 Asia-Pac. J. Oper. Res. 32, No. 6, Article ID 1550046, 12 p. (2015). MSC: 90B22 60J80 PDFBibTeX XMLCite \textit{D. Efrosinin} et al., Asia-Pac. J. Oper. Res. 32, No. 6, Article ID 1550046, 12 p. (2015; Zbl 1335.90017) Full Text: DOI
Wu, Wenqing; Tang, Yinghui; Yu, Miaomiao; Jiang, Ying Computation and profit analysis of a \(k\)-out-of-\(n\):\(G\) repairable system under \(N\)-policy with multiple vacation and one replaceable repair facility. (English) Zbl 1327.60174 RAIRO, Oper. Res. 49, No. 4, 717-734 (2015). MSC: 60K20 60J80 90B25 PDFBibTeX XMLCite \textit{W. Wu} et al., RAIRO, Oper. Res. 49, No. 4, 717--734 (2015; Zbl 1327.60174) Full Text: DOI
Hautphenne, Sophie A structured Markov chain approach to branching processes. (English) Zbl 1327.60138 Stoch. Models 31, No. 3, 403-432 (2015). MSC: 60J22 60J80 60K37 65C40 PDFBibTeX XMLCite \textit{S. Hautphenne}, Stoch. Models 31, No. 3, 403--432 (2015; Zbl 1327.60138) Full Text: DOI
Zhang, Hongbo; Hou, Zhenting; Shi, Dinghua Analysis for stationary indices of discrete-time \(\mathrm{T-IPH}/\mathrm{Geo}/1\) queue. (English) Zbl 1318.60096 J. Appl. Math. Comput. 47, No. 1-2, 417-428 (2015). MSC: 60K25 90B22 60J80 PDFBibTeX XMLCite \textit{H. Zhang} et al., J. Appl. Math. Comput. 47, No. 1--2, 417--428 (2015; Zbl 1318.60096) Full Text: DOI
Drekic, Steve; Stanford, David A.; Woolford, Douglas G.; McAlister, Vivian C. A model for deceased-donor transplant queue waiting times. (English) Zbl 1318.60090 Queueing Syst. 79, No. 1, 87-115 (2015). Reviewer: László Lakatos (Budapest) MSC: 60K25 60J80 90B22 PDFBibTeX XMLCite \textit{S. Drekic} et al., Queueing Syst. 79, No. 1, 87--115 (2015; Zbl 1318.60090) Full Text: DOI Link
Toyoizumi, Hiroshi; Field, Jeremy Dynamics of social queues. (English) Zbl 1412.92329 J. Theor. Biol. 346, 16-22 (2014). MSC: 92D50 60J85 PDFBibTeX XMLCite \textit{H. Toyoizumi} and \textit{J. Field}, J. Theor. Biol. 346, 16--22 (2014; Zbl 1412.92329) Full Text: DOI arXiv
Sakuma, Yutaka; Inoie, Atsushi An approximation analysis for an assembly-like queueing system with time-constraint items. (English) Zbl 1428.90044 Appl. Math. Modelling 38, No. 24, 5870-5882 (2014). MSC: 90B22 60K25 PDFBibTeX XMLCite \textit{Y. Sakuma} and \textit{A. Inoie}, Appl. Math. Modelling 38, No. 24, 5870--5882 (2014; Zbl 1428.90044) Full Text: DOI
Yang, Shuling; Chi, Gaoyang; Guo, Guicheng; Du, Zelin Numerical calculation of steady state distribution for M/M/c vacation queueing system. (Chinese. English summary) Zbl 1313.65012 Commun. Appl. Math. Comput. 28, No. 2, 248-252 (2014). MSC: 65C50 65F08 60K25 60J80 PDFBibTeX XMLCite \textit{S. Yang} et al., Commun. Appl. Math. Comput. 28, No. 2, 248--252 (2014; Zbl 1313.65012) Full Text: DOI
Kobayashi, Masahiro; Miyazawa, Masakiyo Revisiting the tail asymptotics of the double QBD process: refinement and complete solutions for the coordinate and diagonal directions. (English) Zbl 1280.60044 Latouche, Guy (ed.) et al., Matrix-analytic methods in stochastic models. Selected papers based on the presentations at the 7th international conference (MAM 7), New York, NY, USA, June 13–16, 2011. New York, NY: Springer (ISBN 978-1-4614-4908-9/hbk; 978-1-4614-4909-6/ebook). Springer Proceedings in Mathematics & Statistics 27, 145-185 (2013). Reviewer: Hans Daduna (Hamburg) MSC: 60J10 60K25 PDFBibTeX XMLCite \textit{M. Kobayashi} and \textit{M. Miyazawa}, Springer Proc. Math. Stat. 27, 145--185 (2013; Zbl 1280.60044) Full Text: DOI arXiv
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
Baumann, Hendrik; Sandmann, Werner Computing stationary expectations in level-dependent QBD processes. (English) Zbl 1273.60089 J. Appl. Probab. 50, No. 1, 151-165 (2013). Reviewer: Martin Riedler (Wien) MSC: 60J22 60J27 60J28 PDFBibTeX XMLCite \textit{H. Baumann} and \textit{W. Sandmann}, J. Appl. Probab. 50, No. 1, 151--165 (2013; Zbl 1273.60089) Full Text: DOI Euclid
Wang, Fong-Fan Constrained optimal control of a two-stage queueing inventory system with production delay. (English) Zbl 1395.90023 Int. J. Inf. Manage. Sci. 23, No. 4, 371-394 (2012). MSC: 90B05 90B22 60J80 PDFBibTeX XMLCite \textit{F.-F. Wang}, Int. J. Inf. Manage. Sci. 23, No. 4, 371--394 (2012; Zbl 1395.90023) Full Text: Link
Baumann, Hendrik; Sandmann, Werner Steady state analysis of level dependent quasi-birth-and-death processes with catastrophes. (English) Zbl 1251.90086 Comput. Oper. Res. 39, No. 2, 413-423 (2012). MSC: 90B22 60J27 60K37 PDFBibTeX XMLCite \textit{H. Baumann} and \textit{W. Sandmann}, Comput. Oper. Res. 39, No. 2, 413--423 (2012; Zbl 1251.90086) Full Text: DOI
Zhang, Zhe George; Tian, Naishuo; Love, Ernie; Ma, Zhanyou Analysis of queues with an imperfectly repairable server. (English) Zbl 1462.90042 Int. J. Oper. Res., Taichung 8, No. 2, 1-7 (2011). MSC: 90B22 60J80 PDFBibTeX XMLCite \textit{Z. G. Zhang} et al., Int. J. Oper. Res., Taichung 8, No. 2, 1--7 (2011; Zbl 1462.90042) Full Text: Link
Dayar, Tuǧrul; Sandmann, Werner; Spieler, David; Wolf, Verena Infinite level-dependent QBD processes and matrix-analytic solutions for stochastic chemical kinetics. (English) Zbl 1233.60042 Adv. Appl. Probab. 43, No. 4, 1005-1026 (2011). MSC: 60J22 60J28 92C45 92D25 PDFBibTeX XMLCite \textit{T. Dayar} et al., Adv. Appl. Probab. 43, No. 4, 1005--1026 (2011; Zbl 1233.60042) Full Text: DOI
Yue, Dequan; Li, Lanqiao; Qi, Hongjuan A PH/M/c queueing system with unreliable servers. (Chinese. English summary) Zbl 1240.60243 Math. Pract. Theory 40, No. 8, 132-137 (2010). MSC: 60K20 90B22 90B25 PDFBibTeX XMLCite \textit{D. Yue} et al., Math. Pract. Theory 40, No. 8, 132--137 (2010; Zbl 1240.60243)
Clayton, Aubrey Quasi-birth-and-death processes and matrix-valued orthogonal polynomials. (English) Zbl 1210.60076 SIAM J. Matrix Anal. Appl. 31, No. 5, 2239-2260 (2010). Reviewer: Valentin Topchii (Omsk) MSC: 60J10 60J80 42C05 33C45 22E45 PDFBibTeX XMLCite \textit{A. Clayton}, SIAM J. Matrix Anal. Appl. 31, No. 5, 2239--2260 (2010; Zbl 1210.60076) Full Text: DOI
Bean, Nigel; Latouche, Guy Approximations to quasi-birth-and-death processes with infinite blocks. (English) Zbl 1209.60043 Adv. Appl. Probab. 42, No. 4, 1102-1125 (2010). MSC: 60J22 60J10 60J80 PDFBibTeX XMLCite \textit{N. Bean} and \textit{G. Latouche}, Adv. Appl. Probab. 42, No. 4, 1102--1125 (2010; Zbl 1209.60043) Full Text: DOI
Bean, N. G.; Nielsen, B. F. Quasi-birth-and-death processes with rational arrival process components. (English) Zbl 1204.60069 Stoch. Models 26, No. 3, 309-334 (2010). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J25 60K25 90B22 60J80 PDFBibTeX XMLCite \textit{N. G. Bean} and \textit{B. F. Nielsen}, Stoch. Models 26, No. 3, 309--334 (2010; Zbl 1204.60069) Full Text: DOI Link
Wu, Chia-Huang; Ke, Jau-Chuan Computational algorithm and parameter optimization for a multi-server system with unreliable servers and impatient customers. (English) Zbl 1200.65006 J. Comput. Appl. Math. 235, No. 3, 547-562 (2010). MSC: 65C50 60K25 60J80 PDFBibTeX XMLCite \textit{C.-H. Wu} and \textit{J.-C. Ke}, J. Comput. Appl. Math. 235, No. 3, 547--562 (2010; Zbl 1200.65006) Full Text: DOI
Grünbaum, F. Alberto A spectral weight matrix for a discrete version of Walsh’s spider. (English) Zbl 1202.33016 Ball, Joseph A. (ed.) et al., Topics in operator theory. Volume 1: Operators, matrices and analytic functions. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. Basel: Birkhäuser (ISBN 978-3-0346-0157-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0158-0/ebook). Operator Theory: Advances and Applications 202, 253-264 (2010). Reviewer: Jacek Gilewicz (Marseille) MSC: 33C45 22E45 PDFBibTeX XMLCite \textit{F. A. Grünbaum}, Oper. Theory: Adv. Appl. 202, 253--264 (2010; Zbl 1202.33016)
Taylor, P. G.; van Houdt, B. On the dual relationship between Markov chains of GI/M/1 and M/G/1 type. (English) Zbl 1202.60147 Adv. Appl. Probab. 42, No. 1, 210-225 (2010). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60K25 60J10 90B22 PDFBibTeX XMLCite \textit{P. G. Taylor} and \textit{B. van Houdt}, Adv. Appl. Probab. 42, No. 1, 210--225 (2010; Zbl 1202.60147) Full Text: DOI
Hautphenne, Sophie; van Houdt, Benny On the link between Markovian trees and tree-structured Markov chains. (English) Zbl 1173.90580 Eur. J. Oper. Res. 201, No. 3, 791-798 (2010). MSC: 90C40 60K25 90B22 PDFBibTeX XMLCite \textit{S. Hautphenne} and \textit{B. van Houdt}, Eur. J. Oper. Res. 201, No. 3, 791--798 (2010; Zbl 1173.90580) Full Text: DOI
Miyazawa, Masakiyo Tail decay rates in double QBD processes and related reflected random walks. (English) Zbl 1213.60151 Math. Oper. Res. 34, No. 3, 547-575 (2009). MSC: 60K25 90B25 60F10 60J80 PDFBibTeX XMLCite \textit{M. Miyazawa}, Math. Oper. Res. 34, No. 3, 547--575 (2009; Zbl 1213.60151) Full Text: DOI Link
Chen, Yu; Xue, Jungong Stationary distributions of QBD and finite QBD. (Chinese. English summary) Zbl 1224.60235 J. Fudan Univ., Nat. Sci. 48, No. 6, 769-774 (2009). MSC: 60K25 60J10 60J80 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Xue}, J. Fudan Univ., Nat. Sci. 48, No. 6, 769--774 (2009; Zbl 1224.60235)
Shin, Yang Woo Fundamental matrix of transient QBD generator with finite states and level dependent transitions. (English) Zbl 1186.60071 Asia-Pac. J. Oper. Res. 26, No. 5, 697-714 (2009). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J27 60K25 PDFBibTeX XMLCite \textit{Y. W. Shin}, Asia-Pac. J. Oper. Res. 26, No. 5, 697--714 (2009; Zbl 1186.60071) Full Text: DOI
Selçuk, Bariş; Adan, Ivo J. B. F.; de Kok, Ton G.; Fransoo, Jan C. An explicit analysis of the lead time syndrome: stability condition and performance evaluation. (English) Zbl 1173.90393 Int. J. Prod. Res. 47, No. 9, 2507-2529 (2009). MSC: 90B30 60K30 90C40 PDFBibTeX XMLCite \textit{B. Selçuk} et al., Int. J. Prod. Res. 47, No. 9, 2507--2529 (2009; Zbl 1173.90393) Full Text: DOI HAL
Van Leeuwaarden, Johan S. H.; Squillante, Mark S.; Winands, Erik M. M. Quasi-birth-and-death processes, lattice path counting, and hypergeometric functions. (English) Zbl 1186.60087 J. Appl. Probab. 46, No. 2, 507-520 (2009). Reviewer: Aleksander Iksanov (Kiev) MSC: 60J80 60J25 60K25 90B22 PDFBibTeX XMLCite \textit{J. S. H. Van Leeuwaarden} et al., J. Appl. Probab. 46, No. 2, 507--520 (2009; Zbl 1186.60087) Full Text: DOI
Grünbaum, F. Alberto; de la Iglesia, Manuel D. Matrix valued orthogonal polynomials arising from group representation theory and a family of quasi-birth-and-death processes. (English) Zbl 1163.60033 SIAM J. Matrix Anal. Appl. 30, No. 2, 741-761 (2008). Reviewer: Kun Soo Chang (Seoul) MSC: 60J10 42C05 PDFBibTeX XMLCite \textit{F. A. Grünbaum} and \textit{M. D. de la Iglesia}, SIAM J. Matrix Anal. Appl. 30, No. 2, 741--761 (2008; Zbl 1163.60033) Full Text: DOI Link
Margolius, B. H. The matrices R and G of matrix analytic methods and the time-inhomogeneous periodic quasi-birth-and-death process. (English) Zbl 1165.60031 Queueing Syst. 60, No. 1-2, 131-151 (2008). Reviewer: Marina Gorunescu (Craiova) MSC: 60K25 60J80 60J10 PDFBibTeX XMLCite \textit{B. H. Margolius}, Queueing Syst. 60, No. 1--2, 131--151 (2008; Zbl 1165.60031) Full Text: DOI Link
Grassmann, Winfried K.; Drekic, Steve Multiple eigenvalues in spectral analysis for solving QBD processes. (English) Zbl 1145.60040 Methodol. Comput. Appl. Probab. 10, No. 1, 73-83 (2008). MSC: 60J22 60K25 60J80 PDFBibTeX XMLCite \textit{W. K. Grassmann} and \textit{S. Drekic}, Methodol. Comput. Appl. Probab. 10, No. 1, 73--83 (2008; Zbl 1145.60040) Full Text: DOI
Tian, Naishuo; Zhang, Zhe George Quantifying the performance effects of idle time utilization in multiserver systems. (English) Zbl 1129.60086 Nav. Res. Logist. 54, No. 2, 189-199 (2007). MSC: 60K25 90B22 60J27 PDFBibTeX XMLCite \textit{N. Tian} and \textit{Z. G. Zhang}, Nav. Res. Logist. 54, No. 2, 189--199 (2007; Zbl 1129.60086) Full Text: DOI
Margolius, B. H. Transient and periodic solution to the time-inhomogeneous quasi-birth death process. (English) Zbl 1124.60066 Queueing Syst. 56, No. 3-4, 183-194 (2007). MSC: 60J80 60J10 60K25 PDFBibTeX XMLCite \textit{B. H. Margolius}, Queueing Syst. 56, No. 3--4, 183--194 (2007; Zbl 1124.60066) Full Text: DOI Link
Hou, Zhenting; Li, Xiaohua Ergodicity of quasi-birth and death processes. I. (English) Zbl 1113.93103 Acta Math. Sin., Engl. Ser. 23, No. 2, 201-208 (2007). MSC: 93E15 60J10 PDFBibTeX XMLCite \textit{Z. Hou} and \textit{X. Li}, Acta Math. Sin., Engl. Ser. 23, No. 2, 201--208 (2007; Zbl 1113.93103) Full Text: DOI
Artalejo, J. R.; Economou, A.; Gómez-Corral, A. Applications of maximum queue lengths to call center management. (English) Zbl 1102.90015 Comput. Oper. Res. 34, No. 4, 983-996 (2007). MSC: 90B22 PDFBibTeX XMLCite \textit{J. R. Artalejo} et al., Comput. Oper. Res. 34, No. 4, 983--996 (2007; Zbl 1102.90015) Full Text: DOI
Wang, Fong-Fan; Su, Chao-Ton Performance evaluation of a multi-echelon production, transportation and distribution system: a matrix analytical approach. (English) Zbl 1109.90305 Eur. J. Oper. Res. 176, No. 2, 1066-1083 (2007). MSC: 90B22 90B30 90B06 PDFBibTeX XMLCite \textit{F.-F. Wang} and \textit{C.-T. Su}, Eur. J. Oper. Res. 176, No. 2, 1066--1083 (2007; Zbl 1109.90305) Full Text: DOI
van Leeuwaarden, J. S. H.; Winands, E. M. M. Quasi-birth-and-death processes with an explicit rate matrix. (English) Zbl 1115.60070 Stoch. Models 22, No. 1, 77-98 (2006). MSC: 60J22 60K25 68M20 PDFBibTeX XMLCite \textit{J. S. H. van Leeuwaarden} and \textit{E. M. M. Winands}, Stoch. Models 22, No. 1, 77--98 (2006; Zbl 1115.60070) Full Text: DOI
Kumar, B. Krishna; Raja, J. On multiserver feedback retrial queues with balking and control retrial rate. (English) Zbl 1102.60079 Ann. Oper. Res. 141, 211-232 (2006). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{B. K. Kumar} and \textit{J. Raja}, Ann. Oper. Res. 141, 211--232 (2006; Zbl 1102.60079) Full Text: DOI
Ozawa, Toshihisa Sojourn time distributions in the queue defined by a general QBD process. (English) Zbl 1130.90017 Queueing Syst. 53, No. 4, 203-211 (2006). MSC: 90B22 60K35 PDFBibTeX XMLCite \textit{T. Ozawa}, Queueing Syst. 53, No. 4, 203--211 (2006; Zbl 1130.90017) 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
Pérez-Ocón, Rafael; Montoro-Cazorla, Delia A multiple warm standby system with operational and repair times following phase-type distributions. (English) Zbl 1101.90023 Eur. J. Oper. Res. 169, No. 1, 178-188 (2006). MSC: 90B25 60K15 60K20 PDFBibTeX XMLCite \textit{R. Pérez-Ocón} and \textit{D. Montoro-Cazorla}, Eur. J. Oper. Res. 169, No. 1, 178--188 (2006; Zbl 1101.90023) Full Text: DOI
Gómez-Corral, A. On a finite-buffer bulk-service queue with disasters. (English) Zbl 1066.90017 Math. Methods Oper. Res. 61, No. 1, 57-84 (2005). MSC: 90B22 60K25 60K99 PDFBibTeX XMLCite \textit{A. Gómez-Corral}, Math. Methods Oper. Res. 61, No. 1, 57--84 (2005; Zbl 1066.90017) Full Text: DOI
Altman, Eitan; Avrachenkov, Konstantine E.; Núñez-Queija, Rudesindo Perturbation analysis for denumerable Markov chains with application to queueing models. (English) Zbl 1062.60066 Adv. Appl. Probab. 36, No. 3, 839-853 (2004). MSC: 60J10 60J22 60J27 60K25 PDFBibTeX XMLCite \textit{E. Altman} et al., Adv. Appl. Probab. 36, No. 3, 839--853 (2004; Zbl 1062.60066) Full Text: DOI
Ozawa, Toshihisa Analysis of queues with Markovian service processes. (English) Zbl 1060.60090 Stoch. Models 20, No. 4, 391-413 (2004). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{T. Ozawa}, Stoch. Models 20, No. 4, 391--413 (2004; Zbl 1060.60090) Full Text: DOI
Latouche, Guy; Taylor, P. G. Drift conditions for matrix-analytic models. (English) Zbl 1082.60077 Math. Oper. Res. 28, No. 2, 346-360 (2003). MSC: 60J80 60K25 PDFBibTeX XMLCite \textit{G. Latouche} and \textit{P. G. Taylor}, Math. Oper. Res. 28, No. 2, 346--360 (2003; Zbl 1082.60077) Full Text: DOI
Tadj, Lotfi; Touzene, Abderezak A QBD approach to evolutionary game theory. (English) Zbl 1076.91009 Appl. Math. Modelling 27, No. 11, 913-927 (2003). MSC: 91A22 65F10 PDFBibTeX XMLCite \textit{L. Tadj} and \textit{A. Touzene}, Appl. Math. Modelling 27, No. 11, 913--927 (2003; Zbl 1076.91009) Full Text: DOI
Latouche, Guy; Taylor, Peter Truncation and augmentation of level-independent QBD processes. (English) Zbl 1058.60066 Stochastic Processes Appl. 99, No. 1, 53-80 (2002). MSC: 60J80 PDFBibTeX XMLCite \textit{G. Latouche} and \textit{P. Taylor}, Stochastic Processes Appl. 99, No. 1, 53--80 (2002; Zbl 1058.60066) Full Text: DOI
Ye, Qiang On Latouche-Ramaswami’s logarithmic reduction algorithm for quasi-birth-and-death processes. (English) Zbl 1019.60083 Stoch. Models 18, No. 3, 449-467 (2002). Reviewer: Annette Kopp-Schneider (Heidelberg) MSC: 60J80 PDFBibTeX XMLCite \textit{Q. Ye}, Stoch. Models 18, No. 3, 449--467 (2002; Zbl 1019.60083) Full Text: DOI
Grassmann, Winfried K.; Tavakoli, Javad A tandem queue with a movable server: An eigenvalue approach. (English) Zbl 1018.60086 SIAM J. Matrix Anal. Appl. 24, No. 2, 465-474 (2002). Reviewer: Helmut Wegmann (Darmstadt) MSC: 60K25 90B22 PDFBibTeX XMLCite \textit{W. K. Grassmann} and \textit{J. Tavakoli}, SIAM J. Matrix Anal. Appl. 24, No. 2, 465--474 (2002; Zbl 1018.60086) Full Text: DOI
Artalejo, J. R.; Gómez-Corral, A.; Neuts, M. F. Analysis of multiserver queues with constant retrial rate. (English) Zbl 0989.90028 Eur. J. Oper. Res. 135, No. 3, 569-581 (2001). MSC: 90B22 PDFBibTeX XMLCite \textit{J. R. Artalejo} et al., Eur. J. Oper. Res. 135, No. 3, 569--581 (2001; Zbl 0989.90028) Full Text: DOI
He, Qi-Ming; Neuts, Marcel F. On the convergence and limits of certain matrix sequences arising in quasi-birth-and-death Markov chains. (English) Zbl 0986.60082 J. Appl. Probab. 38, No. 2, 519-541 (2001). Reviewer: P.R.Parthasarathy (Chennai) MSC: 60J80 60K25 PDFBibTeX XMLCite \textit{Q.-M. He} and \textit{M. F. Neuts}, J. Appl. Probab. 38, No. 2, 519--541 (2001; Zbl 0986.60082) Full Text: DOI Link
Takahashi, Yukio; Fujimoto, Kou; Makimoto, Naoki Geometric decay of the steady-state probabilities in a quasi-birth-and-death process with a countable number of phases. (English) Zbl 0985.60074 Stoch. Models 17, No. 1, 1-24 (2001). Reviewer: A.I.Zejfman (Vologda) MSC: 60J10 60J80 60K25 PDFBibTeX XMLCite \textit{Y. Takahashi} et al., Stoch. Models 17, No. 1, 1--24 (2001; Zbl 0985.60074) Full Text: DOI
Andersen, Allan T.; Neuts, Marcel F.; Nielsen, Bo Friis Lower order moments of inter-transition times in the stationary QBD process. (English) Zbl 0984.60084 Methodol. Comput. Appl. Probab. 2, No. 4, 339-357 (2000). Reviewer: Thomas Simon (Berlin) MSC: 60J25 65C40 PDFBibTeX XMLCite \textit{A. T. Andersen} et al., Methodol. Comput. Appl. Probab. 2, No. 4, 339--357 (2000; Zbl 0984.60084) Full Text: DOI
Latouche, Guy; Taylor, P. G. Level-phase independence for \(\text{GI}/\text{M}/1\)-type Markov chains. (English) Zbl 0992.60069 J. Appl. Probab. 37, No. 4, 984-998 (2000). Reviewer: Jevsey Morozov (Petrozavodsk) MSC: 60J10 90B22 60K25 PDFBibTeX XMLCite \textit{G. Latouche} and \textit{P. G. Taylor}, J. Appl. Probab. 37, No. 4, 984--998 (2000; Zbl 0992.60069) Full Text: DOI
Liu, Bin; Yue, Dequan; Cao, Jinhua; Wang, Huanqiu Analysis of two-machine CONWIP system: Matrix geometric solution. (English) Zbl 0972.90023 Syst. Sci. Math. Sci. 13, No. 4, 366-375 (2000). Reviewer: V.A.Strusevich (Rotterdam) MSC: 90B30 60K99 PDFBibTeX XMLCite \textit{B. Liu} et al., Syst. Sci. Math. Sci. 13, No. 4, 366--375 (2000; Zbl 0972.90023)
Bean, N. G.; Pollett, P. K.; Taylor, P. G. Quasistationary distributions for level-dependent quasi-birth-and-death processes. (English) Zbl 0964.60074 Commun. Stat., Stochastic Models 16, No. 5, 511-541 (2000). Reviewer: E.A.van Doorn (Enschede) MSC: 60J10 60J80 PDFBibTeX XMLCite \textit{N. G. Bean} et al., Commun. Stat., Stochastic Models 16, No. 5, 511--541 (2000; Zbl 0964.60074) Full Text: DOI
Meo, Michela; de Souza e Silva, Edmundo; Ajmone Marsan, Marco Exact and approximate solutions for a class of infinite Markovian models. (English) Zbl 0964.65003 Haverkort, Boudewijn R. (ed.) et al., Computer performance evaluation. Modelling techniques and tools. 11th international conference, TOOLS 2000, Schaumburg, IL, USA, March 27-31, 2000. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1786, 101-116 (2000). MSC: 65C40 60J22 60J80 PDFBibTeX XMLCite \textit{M. Meo} et al., Lect. Notes Comput. Sci. 1786, 101--116 (2000; Zbl 0964.65003)
Akar, Nail; Oğuz, Nihat C.; Sohraby, Khosrow A novel computational method for solving finite QBD processes. (English) Zbl 0970.60079 Commun. Stat., Stochastic Models 16, No. 2, 273-311 (2000). Reviewer: Annette Kopp-Schneider (Heidelberg) MSC: 60J10 PDFBibTeX XMLCite \textit{N. Akar} et al., Commun. Stat., Stochastic Models 16, No. 2, 273--311 (2000; Zbl 0970.60079) Full Text: DOI
Tüfekçi, Tolga; Güllü, Refik An iterative approximation scheme for repetitive Markov processes. (English) Zbl 0947.60074 J. Appl. Probab. 36, No. 3, 654-667 (1999). MSC: 60J10 60J05 60K25 PDFBibTeX XMLCite \textit{T. Tüfekçi} and \textit{R. Güllü}, J. Appl. Probab. 36, No. 3, 654--667 (1999; Zbl 0947.60074) Full Text: DOI
Latouche, G.; Pearce, C. E. M.; Taylor, P. G. Invariant measures for quasi-birth-and-death processes. (English) Zbl 0930.60065 Commun. Stat., Stochastic Models 14, No. 1-2, 443-460 (1998). MSC: 60J80 PDFBibTeX XMLCite \textit{G. Latouche} et al., Commun. Stat., Stochastic Models 14, No. 1--2, 443--460 (1998; Zbl 0930.60065) Full Text: DOI
Bean, Nigel; Pollett, Phil; Taylor, Peter The quasistationary distributions of level-independent quasi-birth-and-death processes. (English) Zbl 0933.60091 Commun. Stat., Stochastic Models 14, No. 1-2, 389-406 (1998). MSC: 60J80 PDFBibTeX XMLCite \textit{N. Bean} et al., Commun. Stat., Stochastic Models 14, No. 1--2, 389--406 (1998; Zbl 0933.60091) Full Text: DOI