M/G/1型マルコフ連鎖のレベル増分切断近似に対する収束公式

Material type: 博士論文

Author: 大内, 克久

Publisher: Kyoto University

Publication date: 2023-11-24

Material Format: Digital

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Name of awarding university/degree: 京都大学,博士(情報学),Doctor of Informatics

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Material Type: 博士論文
Title: M/G/1型マルコフ連鎖のレベル増分切断近似に対する収束公式
Author/Editor: 大内, 克久
Author Heading: 大内, 克久オオウチ, カツヒサ
Publication, Distribution, etc.: Kyoto University
Publication Date: 2023-11-24
Publication Date (W3CDTF): 2023-11-24
Alternative Title: Convergence Formulas for the Level-increment Truncation Approximation of M/G/1-type Markov Chains
Contributor: 田中, 利幸
下平, 英寿
本多, 淳也
Degree grantor/type: 京都大学
Date Granted: 2023-11-24
Dissertation Number: 甲第24980号
Degree Type: 博士(情報学)
Doctor of Informatics
Text Language Code: eng
Subject Heading: Markov process
M/G/1-type Markov chain
Stationary distribution vector
Ramaswami's recursion
Level-increment truncation approximation
NDC: 007
Target Audience: 一般
DOI: 10.14989/doctor.k24980
Format (IMT): application/pdf
Source: djohk00853.pdf （fulltext）
http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/286373/1/djohk00853.pdf
Access Restrictions: インターネット公開
Rights (production): 許諾条件により本文は2025-05-17に公開
学位規則第9条第2項により要約公開
K. Ouchi and H. Masuyama. Level-wise Subgeometric Convergence of the Level-increment Truncation Approximation of M/G/1-type Markov Chains. Journal of the Operations Research Society of Japan, 65:198-215, 2022. doi:10.15807/jorsj.65.198. K. Ouchi and H. Masuyama. A Geometric Convergence Formula for the Level-increment-truncation Approximation of M/G/1-type Markov Chains. Operations Research Letters, 51:364-369, 2023. doi:10.1016/j.orl.2023.04.005. The final publication is available at Science Direct via http://dx.doi.org/10.1016/j.orl.2023.04.005. K. Ouchi and H. Masuyama. A Subgeometric Convergence Formula for Total-variation Error of the Level-increment Truncation Approximation of M/G/1-type Markov Chains. Journal of the Operations Research Society of Japan, 66, 2023. (Preprint: doi:10.48550/arXiv.2302.11181)
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 京都大学 : 京都大学学術情報リポジトリ