A prototype cost model of functional check decisions in reliability-centred maintenance
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#2002 Operational Research Society Ltd. All rights reserved. 0160-5682/02 $15.00 www.palgrave-journals.com/jors
A prototype cost model of functional check decisions in reliability-centred maintenance X Jia1,2 and AH Christer1* 1
Centre for OR and Applied Statistics, University of Salford, UK; and 2Department of Management Engineering, Shijiazhuang Mechanical Engineering College, Hebei Province, P R China In this paper, the functional check task specified in reliability-centred maintenance (RCM) is discussed and a general cost model under the assumption of a non-decreasing degradation process is established to jointly optimise the threshold of potential failure and inspection intervals to minimise the expected operating cost per unit time. A gamma process is used to describe a random wear degradation process and illustrate the model. Journal of the Operational Research Society (2002) 53, 1380–1384. doi:10.1057/palgrave.jors.2601453 Keywords: preventive maintenance; RCM modelling; functional check; wear model
Introduction Reliability-centred maintenance (RCM) is a process for formulating preventive maintenance (PM) requirements for complex systems. It originated in the US aviation industry in the late 1960s and has been applied by the US military since the middle of the 1970s. Since the beginning of the 1990s, RCM has reportedly grown in popularity in many industries worldwide. However, without mathematical modelling support, RCM decisions, for example, of PM intervals, are subjective and experience-based. RCM applications to existing systems where objective failure data will usually be available have been subject to criticisms, particularly by Sherwin.1 The authors argue that with adequate modelling support, the current RCM methodology can be considerably enhanced and put on a surer scientific footing. To this end, research into OR modelling within the RCM context has been conducted and a number of mathematical models related to aspects of RCM decision making have been developed. This paper outlines one such type of decision problem and its modelling. A component functional check is one of the PM tasks specified in the RCM decision process that may be modelled. The task can be defined as a quantitative check to determine if an item is performing within specified limits. Its purpose is to identify potential failures (or faults) and initiate repair immediately to avoid the occurrence of functional failures. The assumption that a functional check can be applied to prevent a failure is based upon the assertion that there exists a potential failure condition, which could be checked for an identified, before a functional failure occurs.
*Correspondence: Professor AH Christer, Professor of Operational Research E-mail: [email protected]
For a degradation process such as water, fatigue crack, and increasing oil consumption (Figure 1), it is necessary to set a potential failure threshold (or warning level), denoted by xp, and a failure level, denoted by xf. If the condition of a measurable degradation process, whi
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