A Generalized Chart-Based Decision-Making Tool for Optimal Preventive Maintenance Time under Perfect Renewal Process Modeling

Pablo Viveros Gunckel,René Tapia Peñaloza,Fredy Kristjanpoller

doi:10.1155/2020/3078041

Pablo Viveros Gunckel, René Tapia Peñaloza + Show 1 more

Open Access

https://doi.org/10.1155/2020/3078041

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Abstract

The most commonly used probabilistic model in reliability studies is the Perfect Renewal Process (PRP), which is characterized by the condition or type of maintenance represented: once the maintenance activities are executed, the equipment is restored to its original condition, leaving it “as good as new.” It is widely used since it represents an optimistic state when an item is replaced, assuming a perfect operational condition of the item after the maintenance. Some models have been developed for determining optimum preventive maintenance (PM) based on different criteria, and almost all aimed at PRP reliability modeling. The contribution of this paper is to analyze a model for determining the optimal preventive maintenance policy for a long time run under PRP and developing a general and chart-based tool for the problem, making it easier to solve the day-to-day practice and operation of equipment. As a result, a generalized chart was developed to support maintenance decisions through the elaboration of an original isometric table and complemented with a step-by-step methodology to determine the optimum time in which the preventive maintenance activities must be implemented. In most cases, these types of maintenance activities will consider a replacement activity.

Highlights

Preventive maintenance is primarily intended to avoid high costs incurred due to unplanned maintenance activities, which usually causes higher downtimes, direct costs, and most times catastrophic determining events for business continuity.Because of the need for planning preventive maintenance (PM) activities at the industry level, a direct requirement emerges in consequence: knowing when to perform these activities
The grid used for the graph is reduced with respect to the resolution of the generalized chart to improve the visualization. This figure represents a first approach prior to obtaining generalized charts, important conclusions were obtained from the result: 1 ere is a clearly defined area where it is convenient to perform PM on modeling Perfect Renewal Process (PRP)
It is possible to conclude that, under PRP modeling and minimal long-run cost of maintenance in items, there is a boundary zone of possible combinations of p and β parameters in which it is convenient to perform this kind of activity

Summary

Introduction

Preventive maintenance is primarily intended to avoid high costs incurred due to unplanned maintenance activities, which usually causes higher downtimes, direct costs, and most times catastrophic determining events for business continuity.Because of the need for planning PM activities at the industry level, a direct requirement emerges in consequence: knowing when to perform these activities. Since the PM has considerable importance in safety-critical processes, where the occurrence of a failure has a high impact, most of the developed models are intended to replace the equipment [1,2,3]. In this sense, most of the policies are based on constant age replacement of equipment, i.e., constant wear time after the equipment entry into operation; this occurs because all devices are under the same condition when they enter as new. Most of those aforementioned operations, which are cited in this paper, involve at least calculating nonclosed integrals by Riemann sum

Results

Discussion

Conclusion