On the basis of capacity flow model, a new model is developed for a load-sharing k-out-of-n： G system consisting of different components, to describe the increase of the same component＇s failure rates under differen...On the basis of capacity flow model, a new model is developed for a load-sharing k-out-of-n： G system consisting of different components, to describe the increase of the same component＇s failure rates under different loads. All components have exponential life distributions and are nonrepairable in the system. Reliability of load- sharing 2-out- of-3： G system is calculated and some special cases for the system are discussed. The calculation and discussions show that the model is right and practical.展开更多
This paper studies an k-out-of-n:G system with redundant dependency and repair equipment procurement lead time where the operating times and repair times of components follow exponential distributions and phase-type d...This paper studies an k-out-of-n:G system with redundant dependency and repair equipment procurement lead time where the operating times and repair times of components follow exponential distributions and phase-type distributions,respectively.When one component breaks down,it is repaired by a repair equipment.The repair equipment may fail during the repair period and the following repair is not‘as good as new’.After a number of repairs,it is replaced by a new one.The new spare repair equipment for replacement is only available by an order,and the procurement lead time for delivering follows a phase-type distribution.Moreover,in the multi-component system,the redundant dependency is taken into account.Applying the matrix-analytical method,the system availability,the rate of occurrence of failures of the system,the expected number of broken components,the availability and the rate of occurrence of failures of the repair equipment are derived.Finally,numerical examples are given to show these theoretical results.展开更多
基金the Natural Science Foundation of the Education Department of Sichuan Province([2006]A067)the Talent Introduction Foundation of Sichuan Normal University.
文摘On the basis of capacity flow model, a new model is developed for a load-sharing k-out-of-n： G system consisting of different components, to describe the increase of the same component＇s failure rates under different loads. All components have exponential life distributions and are nonrepairable in the system. Reliability of load- sharing 2-out- of-3： G system is calculated and some special cases for the system are discussed. The calculation and discussions show that the model is right and practical.
基金This research was supported by the National Natural Science Foundation of China[grantnumber 72001181],[grant number 71571127]the funding of V.C.&V.R.Key Lab of Sichuan Province(SCVCVR2019.05VS).
文摘This paper studies an k-out-of-n:G system with redundant dependency and repair equipment procurement lead time where the operating times and repair times of components follow exponential distributions and phase-type distributions,respectively.When one component breaks down,it is repaired by a repair equipment.The repair equipment may fail during the repair period and the following repair is not‘as good as new’.After a number of repairs,it is replaced by a new one.The new spare repair equipment for replacement is only available by an order,and the procurement lead time for delivering follows a phase-type distribution.Moreover,in the multi-component system,the redundant dependency is taken into account.Applying the matrix-analytical method,the system availability,the rate of occurrence of failures of the system,the expected number of broken components,the availability and the rate of occurrence of failures of the repair equipment are derived.Finally,numerical examples are given to show these theoretical results.
