Optimal preventive and corrective maintenance for equipment with Erlangian life-time distribution
by Raymond A. Marie
International Journal of Logistics Systems and Management (IJLSM), Vol. 15, No. 2/3, 2013

Abstract: We consider the case of important systems located on operational sites far away from logistic support forces, either because the operational site is in an inhospitality place, or because it is not profitable to maintain a dedicated team on the operational site. Due to the importance of the systems, some service level agreement has been signed, including conditional financial clauses. To take into account such a situation, a preventive maintenance is realised according to projected calendars. This paper shows that, given that the life-times of equipments are supposed to be Erlang-k distributed, it is optimal to realise a preventive maintenance, as long as the ratio of the two intervention costs C_p/C_c is lower than the ratio (k − 1) /k; C_p being the cost of a preventive maintenance intervention and C_c being the cost of a curative maintenance intervention (because of excessive delay, there is a significant penalty associated with each curative maintenance intervention). The methodology to compute the optimal value of the period T^* and the corresponding optimal cost per time unit are presented, for a given value of the ratio C_p/C_c.

Online publication date: Fri, 27-Sep-2013

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