Evidences indicate that around 50% of productivity increase originates from organizational learning and learning by doing. The speed of implementing productivity knowledge increase is a key component of competitiveness and for the case when the implementation is instantaneous, an optimal control model is developed. The analysis of this model indicates that, under certain circumstances, the optimal production level does not change over time, and utilizing this property, a closed form solution is provided to determine the optimal production level. When the implementation process happens step by step, a discrete time model is offered, and we found that using the same assumptions, the production dynamics will be decreasing. To determine the optimal production volumes, a backward dynamic programming procedure is presented.

有证据表明，大约50％的生产率增长源于组织学习和边做边学。实施生产力知识增长的速度是竞争力的关键组成部分，对于即时实施的情况，将开发一种最优控制模型。该模型的分析表明，在某些情况下，最佳生产水平不会随时间变化，并且利用此属性，提供了一种封闭形式的解决方案来确定最佳生产水平。当实施过程逐步进行时，会提供一个离散的时间模型，并且我们发现，使用相同的假设，生产动态将会降低。为了确定最佳的生产量，提出了一种后向动态编程程序。