Integrated parameter design and tolerance design (IPTD) is an effective way to improve product quality and reduce manufacturing cost in micro-manufacturing processes. However, the current modeling techniques rarely analyze the influence of model uncertainty on the optimal machining parameters. It may not obtain the robust optimal machining parameters due to model uncertainty. This paper proposes a novel economically integrated design method which considers the correlations among quality characteristics, the variability of manufacturing process, and uncertainty in the model predictions. First, a new rework and scrap cost functions are established via Monte Carlo simulation. Meanwhile, an integrative expected quality loss function is constructed based on interval analysis theory for quantifying model uncertainty. Second, to make the proposed method closer to the practical micro-manufacturing problem, we consider the trade-offs among cost, time, and success rate in the modeling process. Finally, a total cost model is proposed to take into account the quality loss, tolerance cost, unit manufacturing cost, and scrap cost. The effectiveness of the proposed modeling method is verified by a laser beam micro-drilling manufacturing. The results illustrate that the proposed method can achieve better robustness property and economically than the traditional method that does not consider model uncertainty.

集成参数设计和公差设计（IPTD）是微制造过程中提高产品质量和降低制造成本的有效途径。然而，目前的建模技术很少分析模型不确定性对最优加工参数的影响。由于模型的不确定性，它可能无法获得稳健的最佳加工参数。本文提出了一种新颖的经济集成设计方法，该方法考虑了质量特性、制造过程的可变性和模型预测中的不确定性之间的相关性。首先，通过蒙特卡罗模拟建立新的返工和报废成本函数。同时，基于区间分析理论构建了一个综合预期质量损失函数，用于量化模型的不确定性。第二，为了使所提出的方法更接近实际的微制造问题，我们在建模过程中考虑了成本、时间和成功率之间的权衡。最后，提出了考虑质量损失、公差成本、单位制造成本和报废成本的总成本模型。通过激光束微钻孔制造验证了所提出的建模方法的有效性。结果表明，与不考虑模型不确定性的传统方法相比，所提方法可以实现更好的鲁棒性和经济性。通过激光束微钻孔制造验证了所提出的建模方法的有效性。结果表明，与不考虑模型不确定性的传统方法相比，所提方法可以实现更好的鲁棒性和经济性。通过激光束微钻孔制造验证了所提出的建模方法的有效性。结果表明，与不考虑模型不确定性的传统方法相比，所提方法可以实现更好的鲁棒性和经济性。