Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/18534
標題: M/M/R 機器修理問題含有備用機器及兩種故障模式之經濟分析
Economic Anaysis of the M/M/R Machine Repair Problem with Spares and Two Modes of Failure
作者: 吳俊達
Wu, Jiun-Dar
關鍵字: Two failure modes;兩種壞掉模式;Standbys;System availability;備用機器;系統可靠度
出版社: 應用數學研究所
摘要: 
在這篇論文中,我們討論的主題為機器修理問題。在這個系統中有M部操
作機器 (operating machine) 及S部備用機器 (spare machine) ,每部
機器都有兩種壞掉模式,而這些機器是由R個修理工人所維修的。備用機
器可以考慮是冷備 (cold standby) ,暖備 (warm standby),或是熱備
(hot standby)}。兩種壞掉模式有相同的機率被修理,其壞掉的時間和修
理的時間都是指數分配。我們不僅推導出其穩態解,而且利用消費函數
(cost function) 決定在系統中有幾個修理工人及備用機器可以使系統消
費最少而且使系統可靠度 (system availability)達到一特定標準。

In this thesis, we deal with the machine repair problem where a
group of M operating machines and S spare machines both have
two failure modes and are maintained by R repairmen. Spares are
considered to be either cold-standby, or warm-standby, or hot-
standby. The two failure modes have equal probability of
repair. Failure time of the machines and repair time of the
repairmen are assumed to be negative exponentially distributed.
A cost model is developed in order to determine the optimal
values of the number of repairmen and spares simultaneously,
while maintaining the system availability at a certain level.
Numerical results are presented in which several system
characteristics are evaluated for three types of standby under
optimal operating conditions.
URI: http://hdl.handle.net/11455/18534
Appears in Collections:應用數學系所

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