| 引用本文: | 宋春跃, 王慧.产品随机缺陷生产系统有限时域最优生产控制[J].控制理论与应用,2007,24(4):639~642.[点击复制] |
| SONG Chun-yue, WANG Hui.Optimization production control for production system in a defect-prone environment over finite horizon[J].Control Theory and Technology,2007,24(4):639~642.[点击复制] |
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| 产品随机缺陷生产系统有限时域最优生产控制 |
| Optimization production control for production system in a defect-prone environment over finite horizon |
| 摘要点击 1335 全文点击 1006 投稿时间：2005-12-05 修订日期：2006-06-27 |
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| DOI编号 10.7641/j.issn.1000-8152.2007.4.024 |
| 2007,24(4):639-642 |
| 中文关键词 生产控制 产品缺陷 成本最小 随机产量 |
| 英文关键词 production control defect-prone cost minimization random yield |
| 基金项目 国家自然科学基金资助项目(60404018). |
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| 中文摘要 |
| 针对合格产品产量呈随机分布的单设备单产品类型不可靠生产系统, 假设所生产合格产品的产量占所生产产品总量比例的概率分布已知, 且产品质量检测消耗时间与生产控制时域相比较小. 本文通过对目标函数的离散化, 在离散空间上对生产控制策略进行寻优, 得到基于当前状态下的最优生产控制策略, 该策略可解析表示为合格产品产量分布、成本惩罚系数c+(c-)、当前状态及产品质量检测时间的函数. 与同类文献所得结果相比较, 该控制策略克服了文献[8]结论有可能导致系统状态发散的缺点, 并且最优控制策略表达式更简洁, 所得结论对实际工程应用而言有显著意义. |
| 英文摘要 |
| The optimization production control is studied for a single-machine, single-type product unreliable production system, operating in a defect-prone environment. It is assumed that there is a random yield proportion of non-defective products, with known probability distribution, and the inventory of non-defective products can be observed within a finite duration which is small enough in comparison with the production control horizon. The optimal production control policy that minimizes a linear combination of expected surplus and shortage costs over the planning horizon is obtained by discrete technique and is formulated as a function of the yield rate distribution, c+(c-), the current state and observation duration of the product inventory. This policy overcomes the drawback in [8] which may give rise to state divergence, and the results are more explicit and meaningful in engineering project. |
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