Towards Practical and Synthetical Modelling of Repairable Systems

Abstract

In this article, we survey the developments with respect to generalized models of repairable systems during the 1990s, particularly for the last five years. In this field, we notice the sharp fundamental problem that voluminous and complicated models are proposed without sufficient evidence (or data) for justifying a success in tackling real engineering problems. Instead of following the myth of using simple models to face complicated reality, and based on our own research experiences, we select and review some practical models, in the quickly growing areas: age models, condition monitoring models, and shock and wear models, including the delay-time models. Further, we also notice that there is an attempt to develop synthetical models from a different point of view. Therefore, we comment the relevant developments with strong emphasis on stochastic processes reflecting the intrinsic nature of the actual physical dynamics of those repairable system models.

Repairable consecutive--out-of-: system with fuzzy states

“…Guo et al [19] surveyed developments with respect to generalized models of repairable systems and pointed out the problem of there being a plethora of complex analytical models being proposed without sufficient evidence of success in tackling real engineering problems. In various engineering problems, the binary state assumption in conventional reliability theory is not extensively acceptable, and thus the fuzzy state assumption should be used to replace the binary state assumption [1,5,9,14,29,34].…”

Maintenance Models for a Repairable System

“…Abdel-Hameed (1978) suggested an age dependent minimal repair model where the failed system is replaced with probability p(t) and minimally repaired with probability 1 − p(t). Finally, Guo et al (2001) give a state of the art overview of the field and address future directions of research. Beichelt (1997Beichelt ( , 2001) introduced the total repair cost limit replacement policy, where the system is replaced as soon as its total repair cost Brought to you by | Florida International University Libraries Authenticated Download Date | 5/29/15 10:28 PM reaches or exceeds a given level.…”

Avaliação bayesiana da eficácia da manutenção via processo de renovação generalizado

“…Além disso, q > 1 significa assumir que a manutenção age de forma contrária ao objetivo de retornar o equipamento a uma condição melhor do que estava antes de ser reparado. Kijima & Sumita (1986) propuseram dois tipos de modelos de idade virtual (para outros modelos veja Guo et al (2001) Nota-se na Figura 2(a) que a diferença entre os modelos Kijima Tipo I e Tipo II é pouco perceptível para um baixo valor de q, o que representa uma alta eficácia da ação de reparo. Em outras palavras, o reparo é tão eficaz em sua atuação que pouco representaria a diferença entre um reparo localizado em um equipamento ou no sistema como um todo.…”