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Stochastic Models Volume 29, 2013 - Issue 2
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Original Articles

Subexponential Asymptotics of the Stationary Distributions of GI/G/1-Type Markov Chains

Tatsuaki Kimura NTT Network Technology Laboratories, NTT Corporation, Tokyo, JapanCorrespondence[email protected]
,
Hiroyuki Masuyama Department of Systems Science, Graduate School of Informatics, Kyoto University, Kyoto, Japan
&
Yutaka Takahashi Department of Systems Science, Graduate School of Informatics, Kyoto University, Kyoto, Japan
Pages 190-239 | Received 01 Oct 2011, Accepted 01 Jan 2013, Published online: 06 May 2013

Citations (8)

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Yongming Tai & Qi-Ming He. (2013) Logarithmic Asymptotics for the GI/G/1-type Markov Chains and their Applications to the BMAP/G/1 Queue with Vacations. INFOR: Information Systems and Operational Research 51:2, pages 92-102.
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Articles from other publishers (7)

Katsuhisa Ouchi & Hiroyuki Masuyama. (2023) A geometric convergence formula for the level-increment-truncation approximation of M/G/1-type Markov chains. Operations Research Letters 51:3, pages 364-369.
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Hiroyuki Masuyama. (2022) Subexponential asymptotics of asymptotically block-Toeplitz and upper block-Hessenberg Markov chains. Queueing Systems 102:1-2, pages 175-217.
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Hiroyuki Masuyama. (2022) A new matrix-infinite-product-form solution for upper block-Hessenberg Markov chains and its quasi-algorithmic constructibility. Advances in Applied Probability, pages 1-28.
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Tatsuaki Kimura, Hiroyuki Masuyama & Yutaka Takahashi. (2017) Light-tailed asymptotics of GI/G/1-type Markov chains. Journal of Industrial & Management Optimization 13:4, pages 2093-2146.
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Hiroyuki Masuyama. (2015) A sufficient condition for the subexponential asymptotics of GI/G/1-type Markov chains with queueing applications. Annals of Operations Research 247:1, pages 65-95.
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Hiroyuki Masuyama. (2016) Error Bounds for Augmented Truncations of Discrete-Time Block-Monotone Markov Chains under Subgeometric Drift Conditions. SIAM Journal on Matrix Analysis and Applications 37:3, pages 877-910.
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Hiroyuki Masuyama. (2016) Error Bounds for Augmented Truncations of Discrete-Time Block-Monotone Markov Chains under Geometric Drift Conditions. Advances in Applied Probability 47:1, pages 83-105.
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