Analysis of the mean transition times in the Markov birth-death chains for calculation of the reliability indices of the technical systems

International Workshop "Advanced Technologies in Material Science, Mechanical and Automation Engineering – MIP: Engineering – 2019"

材料科学;机械制造;原子能学

Rahman, P.A.^1 ; Bolnokin, V.E.^2

Department of Automated Technological and Information Systems, Ufa State Petroleum Technological University, October Avenue, Sterlitamak 2

453118, Russia^1

Mechanical Engineering Research Institute of the Russian Academy of Sciences, Pionerskaya street 4, Korolyov

141070, Russia^2

关键词: Forward-and-backward;    ITS applications;    Reliability Index;    Scientific papers;    Technical systems;    Transition time;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/537/4/042011/pdf
DOI  :  10.1088/1757-899X/537/4/042011

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

This scientific paper deals with the generalized Markov birth-death chain and its application in the reliability analysis of the technical systems. The special types of reductions of the generalized Markov birth-death chain and the obtained by the author formulas for calculation of the mean time of forward transitions from one state to another and mean time of backward transitions from one state to another are also presented. Finally, an example of using the generalized Markov birth-death chain and obtained formulas of the mean time of forward and backward transitions for calculation of the reliability indices of the specialized technical system is also given.