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A deteriorating two-system with two repair modes and sojourn times phase-type distributed

机译：具有两种修复模式和停留时间相型分布的恶化的两系统

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摘要

We study a two-unit cold standby system in steady-state. The online unit goes through a finite number of stages of successive degradation preceding the failure. The units are reparable, there is a repairman and two types of maintenance are considered, preventive and corrective. The preventive repair aims to improve the degradation of a unit being operative. The corrective repair is necessary when the unit fails. We will assume that the preventive repair will be interrupted in favour of a corrective repair in order to increase the availability of the system. The random operational and repair times follow phase-type distributions. For this system, the stationary probability vector, the replacement times, and the involved costs are calculated. An optimisation problem is illustrated by a numerical example. In this, the optimal degradation stage for the preventive repair of the online unit is determined by taking into account the system availability and the incurred costs.
机译：我们研究了处于稳态的两单元冷备用系统。在线单元在故障之前经历有限数量的连续降级阶段。这些设备是可维修的，有修理工，并且考虑了两种类型的维护：预防性和纠正性。预防性维修旨在改善正在运行的单元的性能下降。当设备发生故障时，必须进行纠正性维修。我们将假定预防性维修将被中断，而需要进行纠正性维修，以增加系统的可用性。随机操作和维修时间遵循阶段类型的分布。对于此系统，将计算固定概率向量，替换时间和所涉及的成本。数值示例说明了优化问题。在此，通过考虑系统可用性和所产生的成本来确定用于在线设备的预防性维修的最佳降级阶段。

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