产品随机缺陷生产系统有限时域最优生产控制

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.

Optimization production control for production system in a defect-prone environment over finite horizon

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.