Reliability Research Of Repairable Face Recognition System

Repairable system is composed of some parts and one or more repair equipment(or repairmen).The repair equipment repairs the faulty parts and the repaired parts can continue to work.It is the main research object of reliability theory and reliability mathematics.Face recognition system can be abstracted into two different parts of the series system,belongs to the category of repairable system,so we can use the existing repairable system theory,methods and cases,to carry out research on its reliability.The whole paper is divided into six chapters,the main content of each chapter is as follows:The first chapter is the introduction,mainly introduces the development and application of reliability mathematics,the research background and research sta-tus of repairable system,the research content and methods of this paper and the preparatory knowledge related to this paper.The second chapter is the establishment of the system model,mainly with the help of the stochastic process theory and the method of supplementary variables,establish the mathematical model of face recognition system,and use functional analysis tools,can repair the mathematical model of face recognition into Banach space abstract Cauchy problem.In chapter 3,the semigroup characteristics of system operators are studied by using functional analysis and semigroup theory of linear operators,and the suitabil-ity of system solutions is proved.In chapter 4,we study the optimal control problem in which the steady-state solution of the system reaches the expected steady-state solution in the time of[0,T]with the repair rate?_i(x)as the control element,and prove that the control element is unique and exists.In chapter 5,the reliability of the system is studied and the reliability index of the system is obtained under the assumption that the repair rate and the failure rate are constant.The correctness of the theoretical results is verified by numerical calculation and numerical simulation.The sixth chapter is the summary and research prospect.