Please use this identifier to cite or link to this item: `http://hdl.handle.net/11455/18562`
 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 analysis of the M/M/R machine repair problem with spares and two modes of failure 作者: 吳俊達Wu, Zun-Da 關鍵字: APPLIED-MATHEMATICS;機器修理;MATHEMATICS;Two failure modes;Standbys;System availability;故障模式;經濟分析;應用數學;數學;兩種壞掉模式;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 agroup of M operating machines and S spare machines both havetwo failure modes and are maintained by R repairmen. Spares areconsidered to be either cold-standby, or warm-standby, or hot-standby. The two failure modes have equal probability ofrepair. Failure time of the machines and repair time of therepairmen are assumed to be negative exponentially distributed.A cost model is developed in order to determine the optimalvalues of the number of repairmen and spares simultaneously,while maintaining the system availability at a certain level.Numerical results are presented in which several systemcharacteristics are evaluated for three types of standby underoptimal operating conditions. URI: http://hdl.handle.net/11455/18562 Appears in Collections: 應用數學系所