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Incorrect modeling of the failure process of minimally repaired systems under random conditions: The effect on the maintenance costs

机译：随机条件下最少维修的系统的故障过程建模不正确：对维护成本的影响

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摘要

This note investigates the effect of the incorrect modeling of the failure process of minimally repaired systems that operates under random environmental conditions on the costs of a periodic replacement maintenance. The motivation of this paper is given by a recently published paper, where a wrong formulation of the expected cost for unit time under a periodic replacement policy is obtained. This wrong formulation is due to the incorrect assumption that the intensity function of minimally repaired systems that operate under random conditions has the same functional form as the failure rate of the first failure time. This produced an incorrect optimization of the replacement maintenance. Thus, in this note the conceptual differences between the intensity function and the failure rate of the first failure time are first highlighted. Then, the correct expressions of the expected cost and of the optimal replacement period are provided. Finally, a real application is used to measure how severe can be the economical consequences caused by the incorrect modeling of the failure process. (C) 2015 Elsevier Ltd. All rights reserved.
机译：本说明研究了在随机环境条件下运行的最少维修系统的故障过程的错误建模对定期更换维护成本的影响。本文的动机是由最近发表的一篇论文给出的，其中得出了在定期更换政策下单位时间预期成本的错误公式。这种错误的表述是由于以下错误假设：在随机条件下运行的经过最小程度修复的系统的强度函数具有与第一次故障时间的故障率相同的功能形式。这对更换维护产生了错误的优化。因此，在本注释中，首先强调了强度函数和首次故障时间的故障率之间的概念差异。然后，提供了预期成本和最佳更换期的正确表达。最后，使用一个实际的应用程序来衡量由错误的故障过程建模导致的经济后果有多严重。 （C）2015 Elsevier Ltd.保留所有权利。

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