Production and Corrective Maintenance Control of a Manufacturing System Subject to Imperfect Repairs


Production and Corrective Maintenance Control of a Manufacturing System Subject to Imperfect Repairs

Abdelmoula Mohafida, Amine Ait Ourasseb, Jean-Pierre Kenné, Khalid Benjellounb

Abdelmoula Mohafida, Amine Ait Ourasseb, Jean-Pierre Kenné, Khalid Benjellounb "Production and Corrective Maintenance Control of a Manufacturing System Subject to Imperfect Repairs" Published in International Journal of Trend in Research and Development (IJTRD), ISSN: 2394-9333, Special Issue | ICTIMESH-18 , December 2018, URL: http://www.ijtrd.com/papers/IJTRD19217.pdf

This paper carries out a joint analysis of the optimal production and corrective maintenance planning problems for a manufacturing system subject to random failures and imperfect repairs. The objective of this study is to minimize a discounted overall cost consisting of maintenance, inventory holding and backlog costs. A two-level hierarchical decision making approach, based on the determination of the expected mean time between failures (first level) and the statement of a joint optimization of production and corrective maintenance policies (second level) is proposed. Hence, the production and corrective maintenance rates are determined in the second level given the failure rates between failures, obtained from the first level. In the proposed model, the failure rate of the machine depends on the number of failures, and hence, the control policies of the considered planning problems depend on the number of failures. A computational algorithm, based on numerical methods, is used for solving the optimality conditions obtained from the application of the stochastic dynamic programming approach. Finally, a numerical example is presented to illustrate the usefulness of the proposed approach.

Flexible manufacturing systems; Production planning; Stochastic dynamic programming; Numerical methods; Imperfect repairs


Special Issue | ICTIMESH-18 , December 2018

2394-9333

IJTRD19217
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