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研究生: 林宗煥
Zong-Huan Lin
論文名稱: 複合卜瓦松過程在定期保養上的應用
An application of compound Poisson process to periodical preventive maintenance
指導教授: 洪文良
Wen-Liang Hung
張延彰
Yen-Chang Chang
口試委員:
學位類別: 碩士
Master
系所名稱: 南大校區系所調整院務中心 - 應用數學系所
應用數學系所(English)
論文出版年: 2012
畢業學年度: 100
語文別: 中文
論文頁數: 16
中文關鍵詞: 定期預防保養檢修成本複合卜瓦松過程最佳檢修策略
外文關鍵詞: periodical preventive maintenance, maintenance cost, compound Poisson process, optimal maintenance strategy
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  • 本文中我們將採用複合卜瓦松過程來探討維修保養問題,在考慮維修成本及保養成本的情形下,找出最佳保養時間間隔,使得期望成本達到最低。最後在不同的情況下用數值範例說明本文所提的最佳檢修策略。


    In this paper we are going to discuss the problem about preventive maintenance by compound Poisson process. we consider the situation of maintenance cost, to identify the optimal maintenance interval length, which makes the lowest expected cost. Finally, we illustrate our optimal maintenance strategy through numerical example in different circumstances.

    第一章 緒論……………………………………………………1 第二章 文獻探討………………………………………………3 2-1 定期保養………………………………………………3 2-2 齊次與非齊次卜瓦松過程……………………………4 2-2-1 齊次卜瓦松過程…………………………………5 2-2-2 非齊次卜瓦松過程………………………………6 2-3複合卜瓦松過程…………………………………………7 第三章 模型架構與保養策略……………………………………8 3-1 模型架構………………………………………………8 3-2 保養策略………………………………………………12 第四章 數值範例分析……………………………………………13 第五章 結論………………………………………………………15 參考文獻…………………………………………………………16

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