1 引言

使用馬爾可夫鏈(Markov chain)隨機產生新的文檔也是巖石邊坡工程大數據項目的其中一部分內容，計劃單列一章討論這個主題(文本摘要生成的確定過程和隨機過程)。 這個筆記簡要描述了馬爾可夫鏈的工作機理(mk-1.py)。 

2 工作機理

馬爾可夫鏈本質上是一個詞匯接龍的游戲，把每一個單詞作為key, 然后尋找與其鄰接的單詞作為items, 如果items中有多個單詞，則隨機取出一個，于是形成一個鏈表結構。首先準備一個數據集，在本次試驗中，選擇了20篇與巖橋相關的論文題目作為數據源，然后按照馬爾可夫鏈規則儲存在一個字典中。

(1) 'application': ['of', 'of'],

(2) 'of': ['steppath', 'northwest', 'a154', 'rock', 'incipient', 'rock', 'steppath', 'rock', 'the', 'natural', 'graph', 'the', 'rock', 'fracture', 'uncertainty', 'intact', 'major', 'life', 'steppath', 'rock', 'translational', 'rock', 'step', 'large']

(3) 'the': ['shear', 'impact', 'propagation', 'discrete', 'steppath', 'characterisation', 'contribution', 'case']

(4) 'discrete' ['element', 'fracture']

(5) 'element': ['method']

(6) 'method': ['and', 'for', 'challenges']

(7) 'for': ['mapping', 'simulating', 'robust', 'modeling', 'end', 'improved']

(8) 'modeling': ['approach', 'of', 'using', 'dfn']

(9)  'of': 同(2)

(10) 'rock': ['bridges', 'slopes', 'bridge', 'joints', 'bridges', 'slopes', 'masses', 'bridges', 'joint', 'bridges', 'bridges', 'bridge', 'crack', 'slopes', 'bridges', 'slopes', 'bridges', 'slope', 'bridges']

(11) 'bridges': ['in', 'a', 'in', 'in', 'application', 'in', 'and', 'by']

(12) 'in': ['rock', 'jointed', 'jointed', 'stability', 'pfc2d', 'large', 'rock', 'the', 'discrete', 'the', 'rock', 'a', 'the', 'geomechanical']

(13) 'large': ['open', 'open', 'open']

(14) 'open': ['pit', 'pit', 'pit', 'pits']

(15) 'pit':['diavik', 'slope', 'slopes', 'for']

(16)  'slopes': ['numerical', 'a', 'analysis', 'assessment', 'dfn']

順序連接key值，于是產生出新的句子: Application of the discrete element method for modeling of rock bridges in large open pit slopes. (離散元法在大型露天邊坡巖橋模擬中的應用)

3 新的題目

利用上述原理產生出一些新的題目：

(1) A DEM analysis of rock bridges in rock slopes.(巖石邊坡巖橋的離散元分析)

(2) Challenges in the characterisation of intact rock bridges in large open pit slopes.(大型露天礦山完整巖橋特性所面臨的挑戰)

(3) Application of the discrete element method for modeling of rock bridges in rock slopes. (離散元法在巖石邊坡巖橋模擬中的應用)

(4) DEM analysis of step path failure pathways for improved slope stability in the characterisation of intact rock bridges and the contribution to rock slope stability analysis.(完整巖橋特征中改善邊坡穩定性的階梯路徑破壞途徑的DEM分析以及對巖坡穩定性分析的貢獻)

(5) Improvements to field and remote sensing methods for mapping discontinuity persistence and intact rock bridges. (改進現場和遙感方法，測繪不連續的貫通性和完整巖橋遙感方法)

(6)Numerical investigations of rock bridge effect on open pit for end of life planning purpose.(以礦山終結為目的對露天礦巖橋效應進行數值調查)

(7) DFN modelling and rapid upscaling in geomechanical simulations of large open pit.(大型露天礦地質力學模擬中離散斷裂網絡模擬和快速的大規模試驗)