Liu, Jinpeng; Liu, Yuanyuan; Zhao, Yiqiang Q. Matrix-analytic methods for solving Poisson’s equation with applications to Markov chains of GI/G/1-type. (English) Zbl 1523.60126 SIAM J. Matrix Anal. Appl. 44, No. 3, 1122-1145 (2023). Reviewer: Ze-Chun Hu (Chengdu) MSC: 60J10 60J22 60J27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kimura, Tatsuaki; Masuyama, Hiroyuki; Takahashi, Yutaka Light-tailed asymptotics of \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains. (English) Zbl 1374.60182 J. Ind. Manag. Optim. 13, No. 4, 2093-2146 (2017). MSC: 60K25 60J10 × Cite Format Result Cite Review PDF Full Text: DOI
Masuyama, Hiroyuki A sufficient condition for the subexponential asymptotics of GI/G/\(1\)-type Markov chains with queueing applications. (English) Zbl 1358.90033 Ann. Oper. Res. 247, No. 1, 65-95 (2016). MSC: 90B22 60J20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masuyama, Hiroyuki Error bounds for augmented truncations of discrete-time block-monotone Markov chains under subgeometric drift conditions. (English) Zbl 1344.60073 SIAM J. Matrix Anal. Appl. 37, No. 3, 877-910 (2016). MSC: 60J10 60J22 60K25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masuyama, Hiroyuki Error bounds for augmented truncations of discrete-time block-monotone Markov chains under geometric drift conditions. (English) Zbl 1310.60106 Adv. Appl. Probab. 47, No. 1, 83-105 (2015). MSC: 60J10 60K25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Mao, Yonghua; Tai, Yongming; Zhao, Yiqiang Q.; Zou, Jiezhong Ergodicity for the \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chain. (English) Zbl 1315.60084 J. Appl. Probab. Stat. 9, No. 1, 31-44 (2014). MSC: 60J10 60K25 90B22 × Cite Format Result Cite Review PDF Full Text: arXiv
Kimura, Tatsuaki; Masuyama, Hiroyuki; Takahashi, Yutaka Subexponential asymptotics of the stationary distributions of \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains. (English) Zbl 1271.60099 Stoch. Models 29, No. 2, 190-239 (2013); corrigendum ibid. 31, No. 4, 673-677 (2015). MSC: 60K25 60J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Alfa, Attahiru Sule; Margolius, Barbara Haas Two classes of time-inhomogeneous Markov chains: Analysis of the periodic case. (English) Zbl 1144.60054 Ann. Oper. Res. 160, 121-137 (2008). Reviewer: P. R. Parthasarathy (Karlsruhe) MSC: 60K25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Riska, Alma; Smirni, Evgenia ETAQA solutions for infinite Markov processes with repetitive structure. (English) Zbl 1241.90037 INFORMS J. Comput. 19, No. 2, 215-228 (2007). MSC: 90B22 60K25 60J80 60J85 × Cite Format Result Cite Review PDF Full Text: DOI Link
Economou, A.; Gómez-Corral, A. The batch Markovian arrival process subject to renewal generated geometric catastrophes. (English) Zbl 1125.60093 Stoch. Models 23, No. 2, 211-233 (2007). MSC: 60K20 60J10 60K15 × Cite Format Result Cite Review PDF Full Text: DOI
Alfa, Attahiru Sule Analysis of a GI/G\(^Y\)/1 system in discrete-time. (English) Zbl 1065.60130 Stoch. Models 21, No. 1, 185-213 (2005). MSC: 60K25 60J10 60J22 90B22 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Quan-Lin; Zhao, Yiqiang Q. A \(MAP/G/1\) queue with negative customers. (English) Zbl 1048.60073 Queueing Syst. 47, No. 1-2, 5-43 (2004). MSC: 60K25 90B22 × Cite Format Result Cite Review PDF Full Text: DOI
He, Qi-Ming A fixed point approach to the classification of Markov chains with a tree structure. (English) Zbl 1020.60085 Stoch. Models 19, No. 1, 75-111 (2003). MSC: 60K25 90B22 × Cite Format Result Cite Review PDF Full Text: DOI