Optimal Switching Frequency in Limited-Cycle with Multiple Periods
Optimal Switching Frequency in Limited-Cycle with Multiple Periods
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DOI：
10.7232/iems.2012.11.1.048
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发表时间：
2012-01-01
影响因子：
0.7
通讯作者：
Kong, Xianda
中科院分区：
文献类型：
--
作者：
Sun, Jing;Yamamoto, Hisashi;Kong, Xianda
由于客户降低成本和缩短交货期的需要，及时改变生产计划变得更加重要。在多周期系统中(例如，生产线)。在存在目标加工时间的情况下，生产、闲置和延误风险会在多个时期重复发生。在这种情况下，一个流程的延迟可能会影响整个流程的交付日期。在本文中，我们讨论了风险依赖于先前情况且重复发生多个周期的情况下的最小期望成本。本文考虑了以生产过程总期望成本最小为目标的最优开关频率。本文首先提出了最优开关频率模型。其次，给出了总期望值的数学表达式。最后，通过数值实验对最佳开关频率策略进行了研究。
Due to the customer needs of reducing cost and delivery date shorting, prompt change in the production plan became more important. In the multi period system (For instance, production line.) where target processing time exists, production, idle and delay risks occur repeatedly for multiple periods. In such situations, delay of one process may influence the delivery date of an entire process. In this paper, we discuss the minimum expected cost of the case mentioned above, where the risk depends on the previous situation and occurs repeatedly for multiple periods. This paper considers the optimal switching frequency to minimize the total expected cost of the production process. In this paper, first, the optimal switching frequency model is proposed. Next, the mathematic formulation of the total expectation is presented. Finally, the policy of optimal switching frequency is investigated by numerical experiments.