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

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

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.