最优过程均值和生产运行长度的确定

Determination of the Optimal Process Mean and the Length of the Production Run

实际生产中,过程均值由于受到随机振荡的影响,经常从受控状态逐渐漂移到失控状态,从而导致大量不合格品的出现.针对这种情况,本文假定随机振荡次数服从泊松过程,每次振荡引起过程均值漂移相互独立且服从同一指数分布,结合不对称田口质量损失函数,建立了最佳初始过程均值的经济模型,并讨论了最优生产运行长度的确定.通过与初始过程均值设置在目标值处的情形比较,说明本文模型对降低生产成本的有效性。灵敏度分析表明了各参数对最优过程均值和生产运行长度的影响.

Aiming at the question that the process mean often shift due to occurrences of some random shocks, this paper considers the problem of selecting an optimal setting of the process mean and the length of the production run. The product output becomes nonconforming when the process experiences a certain number of accumulated shocks, The number of shocks is assumed to follow a Poisson process and the drift of the process mean is assumed to follow an exponential distribution. An asymmetric loss function is utilized for developing the economic model. It is shown that the advantage of the proposed model is significant when compared with putting process mean at the target. From the results of the sensitivity analyses, we find the effects of parameters on the optimal design.