Currently, the competition between companies is reflected in the revision of the current industry strategies to improve the planning of production and maintenance. In fact, the non- satisfaction of the customer on time is often due to a random demand or a sudden failure of production system. Therefore, it is necessary to develop new maintenance and production strategies.

Looking in the literature we note that, the integrated maintenance and production policies for manufacturing system, which is focus to indecisions such as randomly machine failures, demand variations, etc., has fascinated the attention of some researchers. The development of industrial strategies (maintenance/production) has become very significant for sevral companies in order to decrease their total costs. In this way, Dehayem et al. (2011) developed a new process to find simultaneously the optimal production, and preventive maintenance or replacement plan for a degraded manufacturing system. In the same context, Gharbi and kenné (2007) proved that failure frequencies can be reduced through preventive maintenance, and developed joint production and preventive maintenance policies depending on the inventory levels produced. An analytical model and a numerical example which permit the establishment of a joint optimal inventory control and an age based on preventive maintenance policy for a randomly failing production system was studied by Rezg et al. (2008). But we note that all this studies treated the sample case of one type of product, that’s way in the proposed study, we investigate the area of multiple-product manufacturing system, but usually keeping the same objective of determining the optimal integrated maintenance production plan.

More precisely, in this study, we treat some maintenance policies integrated with production for a manufacturing system. In fact, this paper deals with the problem of maintenance strategy and production planning for a multiple-product manufacturing system. The manufacturing system under consideration consists of one machine which produces several products in order to satisfy random demands corresponding to every product. The significance of the present study is that the study deals with the case of a system which produces several products.

In this study we have developed and optimized analytically production policies for a multiple-product manufacturing system, in order to meet several random requests characterizing respectively different customers. These policies consist of determining periodic production plans for each product, minimizing the costs of production and storage while meeting predefined service level for each product. Subsequently, we have established optimal strategies of maintenance, taking into account the impact of economic production plans obtained, on the evolution of the manufacturing system degradation. Several scenarios have been studied according to the durations of the sub-periods of production and the cost of set-up of each product. In the end, case studies with numerical examples and sensitivity stidies, were treated in order to proof analytical results obtained.

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