標題: | 馬可夫過程可修復系統加入更新隨機干擾之模型的穩定狀態機率 The Steady State Probabilities of A Repairable System following A Markov Process Subject to Renewal Random Interventions |
作者: | 洪辰昀 Chen-Yun Hung 彭南夫 Nan-Fu Peng 統計學研究所 |
關鍵字: | 馬可夫過程;穩定狀態機率;干擾;更新過程;Markov process;steady state probability;intervention;renewal process |
公開日期: | 2004 |
摘要: | 本篇論文主要是想探討,當馬可夫過程中加入更新隨機干擾,變成非馬可夫過程之後,此非馬可夫過程的模型之穩定狀態機率。此外,因為模型的穩定狀態機率計算較為繁複,我們提出另ㄧ個計算比較容易的馬可夫過程穩定狀態機率,來近似此非馬可夫過程的模型之穩定狀態機率。在論文中,我們是將模型套用在可修復系統上,並且會舉數個例子來比較兩者的結果。 This thesis is focused on deriving the steady state probabilities of a non-Markov process obtained from a Markov process subject to renewal random interventions. In addition, we propose the steady state probabilities from a different but related Markov process which can be computed easily and with high precision to the steady state probabilities from a non-Markov process. In this thesis, a non-Markov process is applied in a repairable system, and several examples are presented. |
URI: | http://140.113.39.130/cdrfb3/record/nctu/#GT009226505 http://hdl.handle.net/11536/76880 |
顯示於類別: | 畢業論文 |