系统工程与电子技术
繫統工程與電子技術
계통공정여전자기술
SYSTEMS ENGINEERING AND ELECTRONICS
2009年
12期
3017-3021
,共5页
可修系统%多重休假%延迟修理%故障次数%期望效益%扩展几何过程
可脩繫統%多重休假%延遲脩理%故障次數%期望效益%擴展幾何過程
가수계통%다중휴가%연지수리%고장차수%기망효익%확전궤하과정
repairable system%multiple vacations%delay repair%failure number%expected profit%an extended geometric process
针对有延迟修理的修理工多重休假单部件可修系统,提出了一种维修更换模型.系统发生故障时可能因修理工的休假或故障情况而得不到及时修理,因此系统可处于工作、修理和待修三种状态.假设系统每次维修后均不能"修复如新"和系统每次故障以概率1-p延迟修理的情况下,以系统的故障次数N为更换策略,通过扩展几何过程理论建立数学模型,求出了系统经长期运行单位时间内期望效益的明显表达式.最后,通过数值例子验证了该方法的有效性.
針對有延遲脩理的脩理工多重休假單部件可脩繫統,提齣瞭一種維脩更換模型.繫統髮生故障時可能因脩理工的休假或故障情況而得不到及時脩理,因此繫統可處于工作、脩理和待脩三種狀態.假設繫統每次維脩後均不能"脩複如新"和繫統每次故障以概率1-p延遲脩理的情況下,以繫統的故障次數N為更換策略,通過擴展幾何過程理論建立數學模型,求齣瞭繫統經長期運行單位時間內期望效益的明顯錶達式.最後,通過數值例子驗證瞭該方法的有效性.
침대유연지수리적수리공다중휴가단부건가수계통,제출료일충유수경환모형.계통발생고장시가능인수리공적휴가혹고장정황이득불도급시수리,인차계통가처우공작、수리화대수삼충상태.가설계통매차유수후균불능"수복여신"화계통매차고장이개솔1-p연지수리적정황하,이계통적고장차수N위경환책략,통과확전궤하과정이론건립수학모형,구출료계통경장기운행단위시간내기망효익적명현표체식.최후,통과수치례자험증료해방법적유효성.
A replacement model for a one-unit repairable system equipped with a repairman who has multiple vacations is proposed.Repair upon failure might not be immediately carried due to the fact that the repairman might be on vacation.The system might therefore be at one of the three states:working,being repaired,and waiting for repair.Suppose that the system cannot be repaired as good as new and a repair can be delayed with a probability of 1-p,an explicit expected cost rate using an extended geometric process and N replacement policy is given.Numerical examples are also used to validate the replacement policy.
