| For the sake of enhancing the system reliability,the problem that how and where to allocate components to the system is of great significance in the field of reliability engineering.This paper studies the component allocation policy and redundant component allocation policy of the series(parallel)system composed of k components.In addition,due to the shock of environment and other factors during the operation of the component,its lifetime will be inevitably deteriorated.Due to maintenance costs caused by component failures are often high,maintenance policies need to be developed to avoid system hazards.Firstly,this paper considers a mixed population consisting of several sub-populations,and selects several groups of components randomly from the mixed population with a certain probability to form a series(parallel)system.For series(parallel)systems,we study the influence of different allocation policies on system reliability.We study the influence of selection probabilities of sub-populations on the reliability of series(parallel)system by using several stochastic orders.Secondly,this paper is devoted to the redundancy allocation in series(parallel)systems subject to random shocks.We use the non-homogeneous Poisson process to describe the shock process.We present the redundant series(parallel)system reliability.We use the majorization order to give comparisons between random lifetimes of systems under two redundancy allocation policies.Then,we present the redundancy allocation policy for maximizing(minimizing)the series(parallel)system reliability.In addition,we analyze how the number of subsystems affect the system reliability.Finally,under the assumption that the spare components of the component have a random lead-time,this paper studies the component periodic inspection policy in shock environment to minimize the average cost per unit time.The average cost of the component is given,and a numerical example is given to calculate the optimal inspection time. |
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