Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/18569
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dc.contributor.advisor王國雄zh_TW
dc.contributor.author劉怡均zh_TW
dc.date2004zh_TW
dc.date.accessioned2014-06-06T07:03:45Z-
dc.date.available2014-06-06T07:03:45Z-
dc.identifier.urihttp://hdl.handle.net/11455/18569-
dc.description.abstract摘 要 我們研究包含暖備備用機器與一般分配在三種不同序列系統結構的修理時間。主要機器與暖備備用機器的故障時間都為指數分配,其參數分別為 λ 和 α。服務者的修理時間為一般分配。 在本論文中,我們使用了遞迴方法以及利用輔助變數的技巧,在三種不同序列系統結構中,推導出在穩態模式下的效益性 At(∞)。我們取一些特別的數值代入系統之參數與機器之單位成本來比較其 At(∞),最後比較其成本與利益之比值 cost/At(∞)。zh_TW
dc.description.abstractAbstract In this thesis, we study the availability analysis of three different series system configurations with warm standby components and general repair times. The time-to-failure for each of the primary and warm standby components is assumed to be exponentially distributed with respective parameter λ and α. This thesis presents a recursive method, using the supplementary variable technique and treating the supplementary variable as the remaining repair time, to develop the steady-state probability distribution of the number of working components in the system. We develop the explicit expressions for the steady-state availability, for three configurations and perform comparisons. For all three configurations, comparisons are made for specific values of distribution parameters and of the cost of the components. The configurations are ranked based on availability and cost∕benefit ratio, for three various repair time distributions: exponential, 3-stage Erlang, and deterministic, where benefit is availability. Keywords: availability, cost-benefit, series system, general distribution, recursive method, supplementary variable technique.en_US
dc.description.tableofcontentsCONTENTS Chapter 1: Introduction 1 1.1. Literature Review 1 1.2. Scope of the Study 2 Chapter 2: Problem Statement 3 2.1. Notation and Probabilities 6 2.2. Definitions 6 2.2.1. Availability 7 2.2.2. Cost-Benefit Ratio 7 Chapter 3: Availability Analysis 9 3.1. Calculation for Configuration 1 9 3.1.1. Availability for Configuration 1 9 3.1.2. Special cases 14 3.2. Calculation for Configuration 2 16 3.2.1. Availability for Configuration 2 16 3.2.2. Special cases 21 3.3. Calculation for Configuration 3 23 3.3.1. Availability for Configuration 3 23 3.3.2. Special cases 30 Chapter 4: Comparison of the Three Configurations 34 4.1. Comparison of all configurations with their Availability34 4.2. Comparison of all configurations based on their cost-benefit ratios 43 Chapter 5: Conclusions and Future Research 52 5.1. Conclusions 52 5.2. Future Research 52 Reference 53en_US
dc.language.isoen_USzh_TW
dc.publisher應用數學系zh_TW
dc.subjectavailabilityen_US
dc.subject效益性zh_TW
dc.subjectcost-benefiten_US
dc.subjectseries systemen_US
dc.subjectgeneral distributionen_US
dc.subjectrecursive methoden_US
dc.subjectsupplementary variable techniqueen_US
dc.subject成本與利益之比zh_TW
dc.subject序列系統zh_TW
dc.subject一般分配zh_TW
dc.subject遞迴方法zh_TW
dc.subject輔助變數技巧zh_TW
dc.title包含暖備備用機器與一般分配修理時間之序列結構的效益性之最佳化多餘zh_TW
dc.titleOptimal Redundancies for Availability of Series Systems with Warm Standby Components and General Repair Timesen_US
dc.typeThesis and Dissertationzh_TW
item.languageiso639-1en_US-
item.openairetypeThesis and Dissertation-
item.cerifentitytypePublications-
item.grantfulltextnone-
item.fulltextno fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
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