This research investigates a k-out-of-n system in which the lifetime of operational and standby components, the repair time follow continuous phase-type (PH) distribution, instead of exponential distribution or others typical distributions. The proposed paper provides an analytic reliability model that is more suitable to characterize the real situation. The stationary distribution is built by using matrix analytic methods; and several reliability measures of interest are obtained, such as the system stationary availability, system up period, mean time between failures (MTBF) and mean number of failures per unit time (MNF). Finally, a numerical example is presented which implements the applicability and calculability of the model and demonstrate how system reliability measures are influenced by parameter k when n is fixed.
机构:
Dogus Univ, Dept Ind Engn, Esenkent Mh,Nato Yolu Cd 265, TR-34775 Istanbul, TurkeyDogus Univ, Dept Ind Engn, Esenkent Mh,Nato Yolu Cd 265, TR-34775 Istanbul, Turkey
机构:
Huaqiao Univ, Sch Math Sci, Res Ctr Appl Stat & Big Data, Quanzhou 362021, Fujian, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Res Ctr Appl Stat & Big Data, Quanzhou 362021, Fujian, Peoples R China
You, Yinping
Fang, Rui
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机构:
Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R ChinaHuaqiao Univ, Sch Math Sci, Res Ctr Appl Stat & Big Data, Quanzhou 362021, Fujian, Peoples R China
Fang, Rui
Li, Xiaohu
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机构:
Stevens Inst Technol, Dept Math Sci, Hoboken, NJ 07030 USAHuaqiao Univ, Sch Math Sci, Res Ctr Appl Stat & Big Data, Quanzhou 362021, Fujian, Peoples R China