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贮备系统可靠性之近似置信限 总被引:1,自引:0,他引:1
设组成贮备系统的指数寿命型元件的失效率之间满足某种关系.本文给出了这样的两个贮备系统组成的串联系统可靠性之近似置信下限的计算公式. 相似文献
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This paper compares the availability characteristics between three different systems with reboot delay and standby switching failures. Three systems are studied under the assumption that the time-to-failure and the time-to-repair of the primary and standby units are exponentially and generally distributed, respectively. The reboot times are assumed to be exponentially distributed with parameter β. It is assumed that there is a significant probability q of a switching failure. Using the supplementary variable technique, we develop the explicit expressions for the steady-state availability, Av, for three configurations and perform comparative analysis for three various repair time distributions, such as exponential, gamma, and uniform. Under the cost/benefit criterion, comparisons are made based on assumed numerical values given to the distribution parameters, and to the cost of the primary and standby units. 相似文献
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In this paper, the solution of a standby human–machine system is investigated. By using the method of functional analysis, especially, the linear operator theory and the C0 semigroup theory on Banach space, we prove the well-posedness and the existence of a positive solution of the system. And under some appropriate hypotheses, we study the asymptotic stability of solution of the system. 相似文献
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In this paper we consider the problem of optimal allocation of a redundant component for series, parallel and k-out-of-n systems of more than two components, when all the components are dependent. We show that for this problem is naturally to consider multivariate extensions of the joint bivariates stochastic orders. However, these extensions have not been defined or explicitly studied in the literature, except the joint likelihood ratio order, which was introduced by Shanthikumar and Yao (1991). Therefore we provide first multivariate extensions of the joint stochastic, hazard rate, reversed hazard rate order and next we provide sufficient conditions based on these multivariate extensions to select which component performs the redundancy. 相似文献
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Allocation of active [standby] redundancies in a system is a topic of great interest in reliability engineering and system safety because optimal configurations can significantly increase the reliability of a system. In this paper, we study the problem of allocating two exponentially distributed active [standby] redundancies in a two-component series system using the tools of stochastic ordering. We establish two interesting results on likelihood ratio ordering which have no restriction on the parameters. 相似文献
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In this paper we investigate the solution of a complex standby system with constant waiting and different repairman criteria incorporating environmental failure. By using the method of functional analysis, especially, the C0 semigroup theory of bounded linear operators on Banach space, we prove the well-posedness and the existence of positive solution of the system. Under some appropriate hypothesis, we prove that the dynamic solution of the system converges its steady state in a stronger sense. 相似文献
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《Optimization》2012,61(4):361-379
This paper deals with the effect of preventive maintenance (PM) on the reliability measurcs for a 2-unit priority standby system with patience-time for repair. Four types of PM (type (a),(b), (c), and(d)) are considcrcd. Failurc, repair, PM, and replacement time disiributiotls are general whereas delivery time distribution is negative exponential. Regenerative technique in Markov renewal is applied to obtain several reliability characteristics of interest to designers. Finally numerical calculations are given to illustrate the theoretical results 相似文献
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《Applied Mathematical Modelling》2014,38(7-8):2180-2189
This paper considers a machine repair problem with M operating machines and S standbys, in which R repairmen are responsible for supervising these machines and operate a (V, R) vacation policy. With such policy, if the number of the failed machines is reduced to R − V (R > V) (there exists V idle repairmen) at a service completion, these V idle servers will together take a synchronous vacation (or leave for other secondary job). Upon returning from the vacation, they do not take a vacation again and remain idle until the first arriving failed machine arrives. The steady-state probabilities are solved in terms of matrix forms and the system performance measures are obtained. Algorithmic procedures are provided to deal with the optimization problem of discrete/continuous decision variables while maintaining a minimum specified level of system availability. 相似文献