OPTIMAL REPLACEMENT POLICIES DETERMINED USING ARITHMETICO-GEOMETRIC PROCESSES
OPTIMAL REPLACEMENT POLICIES DETERMINED USING ARITHMETICO-GEOMETRIC PROCESSES
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DOI：
10.1080/03052150108940929
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发表时间：
2001-04
影响因子：
2.7
通讯作者：
L. Francis
中科院分区：
文献类型：
--
作者：
L. Francis
本文对退化系统提出了新的修理更换模型，其中系统的连续工作时间构成一个算术几何过程，且是随机非增的，而故障后的连续修理时间也构成一个算术几何过程，但是随机非减的。考虑了两种替换策略，一种是基于系统的工作年龄（连续决策变量），另一种是基于系统的故障次数（离散决策变量）.这些政策被认为是与性能指标，即损失（或其补充利润），成本和停机时间（或其补充可用性）分别。应用更新报酬过程的著名结果，导出了在两种策略下，单位时间内的长期期望性能指标的表达式，以及在良好运行条件下单位时间内的长期期望性能指标的表达式。
Abstract In this paper, the author proposes new repair-replacement models for a deteriorating system, in which the successive operating times of the system form an arithmetico-geometric process and are stochastically non-increasing, while the successive repair times after failure also constitute an arithmetico-geometric process but are stochastically non-decreasing. Two kinds of replacement policy are considered, one based on the working age (a continuous decision variable) of the system and the other determined by the number of failures (a discrete decision variable) of the system. These policies are considered together with the performance measures, namely loss (or its complement profit), cost, and downtime (or its complement availability) respectively. Applying the well-known results of renewal reward processes, the author derives expressions for the long-run expected performance measure per unit time, and for the long-run expected performance measure per unit time of good operating condition, under the two kinds of policy proposed.