Abstract
A properly implemented maintenance management system has an impact at different levels. Maintenance is defined as the set of actions to maintain a property in a specified state. The unavailability of the spare parts required, to carry out the maintenance intervention, causes an extension of the inactivity time of the installation. On the contrary, an excessive stock of spare parts confines enormous capital and entails an enormous cost of ownership. According to the literature already made, we have directed in our work to propose a model of joint management of maintenance and spare parts based on stochastic-deterministic batch Petri networks. We studied this model by simulation using a graphical interface dedicated to the graphical tool used. So, we present, in this paper, the analytical study of the model by defining the performance indicators and viewing the influence of system parameters on these indicators. The main stages of the analytical study are developing the μ-marking graph, the associated Markov process which gives the associated transition matrix, and the definition of performance indicators using the probability distribution of the states. We deal with an application of the analytical evaluation of the proposed model. We end this article with an analysis and synthesis.
Highlights
A properly implemented maintenance management system has an impact at different levels: infrastructure, resources, management and security, as well as competitiveness criteria, quality, price, time, flexibility, service, and reputation [1]
Corrective maintenance is very costly because it causes unnecessary machine time [2]. e unavailability of the desired spare parts for the maintenance intervention causes an extension of the inactivity time of the installation
We present a model, proposed in [22], which allows us to evaluate the performance of the interventions of the maintenance and the supply of the spare parts. is model is based on the model proposed in [21] for the performance evaluation of the management of spare parts, which is inspired from the models presented in [5, 16] and the models presented in [4, 9] that deal with the performance evaluation of the maintenance. e model is presented in Figure 1, and its parameters are presented in Table 2. us, we add additional indicators to the indicators already presented in [21] for the section of the analytical study of the management of spare parts
Summary
A properly implemented maintenance management system has an impact at different levels: infrastructure, resources (human and material), management (spare parts, inventory, etc.) and security, as well as competitiveness criteria, quality, price, time, flexibility, service, and reputation [1]. E unavailability of the desired spare parts for the maintenance intervention causes an extension of the inactivity time of the installation. According to the review paper [3] on the joint management of spare parts and maintenance, the parameters, considered in some models, are demand forecasts, time of maintenance intervention, failure number, maintenance policy, maintenance frequency, spare parts’ inventories, repair, and inventory levels. For the performance evaluation of the maintenance service, there are models based on Petri nets or using simulation software such as Arena. In the literature review of the joint management of spare parts and maintenance, the performance evaluation is rarely addressed. In this context, we have developed a model,
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