An integrated production and maintenance planning model with time windows and shortage cost

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Abstract
In this paper, we tackle the problem of integrating production and maintenance. The production problem addresses the issue of determining the production lot sizes of various items. Preventive maintenance is carried out in time windows to restore the production line to an ‘as-good-as-new’ status, and when a production line fails, a minimal repair is carried out to restore it to an ‘as-bad-as-old’ status. The resulting problem is modelled as a linear mixed-integer program. It takes into account demand shortage and the reliability of the production line. Computational experiments are carried out to show the effectiveness of the integrated model compared with a separate classical model for different instances, and the results obtained are analysed in detail.

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