| Citation: | ZHOU Binghai, LIU Yuwang. Throughput optimization for an imperfect production system with queue time constraints[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(10): 1972-1979. doi: 10.13700/j.bh.1001-5965.2016.0824(in Chinese)
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To efficiently solve the problems of queue time constraints and quality loss caused by machine degradation during production activities, a joint optimization mathematical model considering both preventive maintenance and the control of the buffer capacity was constructed in this paper. First, gamma process was introduced to model the degradation of the downstream bottleneck station, and the quality loss caused by its degradation was also considered. Second, based on the model mentioned above, we treated the arrival of workpieces, the intermediate buffer and the working process of downstream station as a queuing system and obtained the probability of work in process (WIP) blocking and exceeding the queue time constraints using M/G/1/K queuing model. Finally, with the objective function of maximizing the "effective throughput", we jointly explored the optimization of the threshold of preventive maintenance and the capacity of the intermediate buffer. Numerical example shows that the proposed model is practical and effective, which has certain instructive significance to the buffer capacity control, preventive maintenance and throughput improvement for those imperfect production systems with queue time constraints.
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