Abstract: Taking into account the effect of the long downtime on the economic benefit of the enterprise, the buffer between the equipment is set up. At the same time, considering the lack of equipment maintenance decision model of single target, and the accurate degree of failure frequency expression influencing decision-making, borrowing from the theory of time delay, a joint decision model is established, by which the equipment can be repaired. In order to meet the production requirements of the equipment and the cost level of the optimized buffer production system, the total downtime per average unit time and the total cost per average unit time are respectively used as the objective function for study. Through the time delay theory, the process of fault formation is analyzed, and the fault number is expressed. Two objective functions are expressed by updating the remuneration theorem. According to the discrete iterative algorithm, the optimal inspection period and rated inventory are respectively 25 days and 1,195 pieces, and the total cost rate is 22,739.95 yuan when the downtime rate is 0.199. In addition, a sensitivity analysis is carried out to verify the optimal solution, and the result is used to guide production line maintenance management.

Key words: buffer, time delay theory, downtime