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Replacement and inspection policies for products with random life cycle

机译：寿命周期随机的产品的更换和检查政策

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摘要

In this paper, we consider maintenance policies for products in which the economical life cycle of products is a random variable. First, we study a periodic replacement policy with minimal repair. The system is minimally repaired at failure and is replaced by new one at age T (periodic replacement policy with minimal repair of Barlow and Hunter [1]). The expected present value of total maintenance cost of products with random life cycle is obtained and the optimal replacement interval minimizing the cost is found. Second, we consider an inspection policy for products with random life cycle to detect the system failure. The expected total cost is obtained and the optimal inspection interval is found. Numerical examples are also included.
机译：在本文中，我们考虑了产品的经济寿命周期是随机变量的产品维护策略。首先，我们研究一种维修最少的定期更换政策。该系统在故障时的维修最少，在T龄时被新的替换（定期更换策略，Barlow和Hunter的维修最少[1]）。获得具有随机生命周期的产品的总维护成本的预期现值，并找到使成本最小化的最佳更换间隔。其次，我们考虑针对具有随机生命周期的产品的检查策略，以检测系统故障。获得预期的总成本并找到最佳检查间隔。数值示例也包括在内。

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