Abstract According to the situation that product quality is affected by equipment condition, this paper studied a joint decision of production and maintenance for a continuous deterioration manufacturing system under multi-grade product quality frame. A joint production and maintenance decision model to maximize an enterprise average gross profit is built through a combination of compound Poisson process and Markov process theory, and a corresponding solution is also provided. The results indicate that: a small increase in equipment deterioration strength will lead to a huge loss of the enterprise gross profit for deterioration equipment which affects product quality; productive operators can get reasonable preventive maintenance schedules through the proposed model to restrain equipment deterioration. Furthermore, product quality fraction defective is limited in low level and wild fluctuant market random demand can be satisfied at a high service level by the usage of gotten schedules.
