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中文摘要：
对多目标决策视角下的又控制图设计问题进行了研究．基于马尔科夫链构建出综合优化单位成本、生产持续时间和次品率的面向小批量生产过程的控制模型，并结合一个生产实例对模型的应用效果进行分析．结果表明，在多数情况下多目标控制图都优于经济控制图；并且经济控制图方法的应用在一定条件下容易诱导企业的短期行为，而多目标综合优化的思想可以最大程度避免这种短期行为的出现．
英文摘要：
Based on Markov chain this paper constructs and studies an X control chart model for short-run production which bases on Markov chain. A synthesis optimization is built considering cost per unit, production duration and defective percentage, while the existing relevant research only focuses on cost objective. A real production case study is carried out and indicates that multi-objective control chart is superior to economic control chart in most cases. Besides, the application of economic control chart easily induces the enterprise＇s short-term behavior under certain conditions, while the use of synthesis optimization can maximally avoid it.
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