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


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