Studies on quasi-birth-death type queueing systems 準出生死滅型待ち行列システムに関する研究
この論文にアクセスする
この論文をさがす
著者
書誌事項
- タイトル
-
Studies on quasi-birth-death type queueing systems
- タイトル別名
-
準出生死滅型待ち行列システムに関する研究
- 著者名
-
牧本, 直樹, 1964-
- 著者別名
-
マキモト, ナオキ
- 学位授与大学
-
東京工業大学
- 取得学位
-
理学博士
- 学位授与番号
-
甲第2405号
- 学位授与年月日
-
1992-03-26
注記・抄録
博士論文
目次
- 論文目録 / (0002.jp2)
- Table of Contents / p2 (0005.jp2)
- Chapter1:Introduction and Summary / p1 (0007.jp2)
- 1.1 Introduction / p1 (0007.jp2)
- 1.2 Phase-type Distributions / p2 (0008.jp2)
- 1.3 Quasi-birth-death Processes / p4 (0010.jp2)
- 1.4 Relaxation Time / p6 (0012.jp2)
- 1.5 Quasi-stationary Distributions / p7 (0013.jp2)
- 1.6 PH/PH/c Queues / p8 (0014.jp2)
- 1.7 GI/M(n)/1/K and M(n)/G/1/K Queues / p14 (0020.jp2)
- 1.8 Exponential Tandem Queues / p17 (0023.jp2)
- Chapter2:Quasi-stationary Distributions in PH/PH/c Queues / p18 (0024.jp2)
- 2.1 Introduction / p18 (0024.jp2)
- 2.2 Quasi-stationary Distributions in PH/PH/c Queues / p19 (0025.jp2)
- 2.3 The Decay Parameters / p22 (0028.jp2)
- 2.4 The Quasi-stationary Distribution for Fully Busy Periods / p30 (0036.jp2)
- 2.5 The Quasi-stationary Distribution for Partially Busy Periods / p33 (0039.jp2)
- 2.6 Asymptotic Behaviors of the Quasi-stationary Distributions / p36 (0042.jp2)
- Chapter3:The Relaxation Time for PH/PH/c Queues / p39 (0045.jp2)
- 3.1 Introduction / p39 (0045.jp2)
- 3.2 The Relaxation Time for PH/PH/c Queues / p40 (0046.jp2)
- 3.3 Bounds of the Relaxation Time / p42 (0048.jp2)
- 3.4 Numerical Examples and Remarks / p47 (0053.jp2)
- Chapter4:Stationary Distributions in GI/M(n)/1/K and M(n)/G/1/K Queues / p52 (0058.jp2)
- 4.1 Introduction / p52 (0058.jp2)
- 4.2 Some Preliminaries / p53 (0059.jp2)
- 4.3 GI/M(n)/1/K Queues with FCFS Discipline / p55 (0061.jp2)
- 4.4 M(n)/G/1/K Queues with FCFS Discipline / p61 (0067.jp2)
- 4.5 M(n)/G(n)/1/K Queues with LCFS-P-REPEAT Discipline / p66 (0072.jp2)
- 4.6 Concluding Remarks / p68 (0074.jp2)
- Chapter5:Quasi-stationary Distributions in GI/M(n)/1/K and M(n)/G/1/K Queues / p69 (0075.jp2)
- 5.1 Introduction / p69 (0075.jp2)
- 5.2 Some Preliminaries / p70 (0076.jp2)
- 5.3 Quasi-stationary Distributions in M(n)/G/1/K Queues / p72 (0078.jp2)
- 5.4 Quasi-stationary Distributions in GI/M(n)/1/K Queues / p80 (0086.jp2)
- 5.5 Numerical Examples and Remarks / p83 (0089.jp2)
- Chapter6:Interchangeability for Exponential Tandem Queues / p86 (0092.jp2)
- 6.1 Introduction / p86 (0092.jp2)
- 6.2 A Direct Proof of Interchangeability / p87 (0093.jp2)
- 6.3 A Related Result / p90 (0096.jp2)
- Bibliography / p92 (0098.jp2)