多品种生产库存模型的几个问题

Some Issues of Multi-item Inventory Models

首先讨论了在一台设备上同时加工几种产品的同周期生产库存模型，并且给出了一个补充条件。其次，对于产品之间存在一定比例关系的情形，提出了一个生产库存的最优化模型。进一步还讨论了多品种库存的一般性模型。

This paper investigates some issues regarding multi-item inventory models. First, a necessary condition is given for the multi-item inventory model using a single machine in the same production period. Second, then, an optimal multi-item inventory model is developed for the case when multi-items have some proportional relationship. Finally, a general model of multi-item inventory and production based on a mathematical programming approach is suggested.