Earticle

The purpose of this paper is to deal with the syntactic properties of PRO on the basis of Control Theory. Chapter 2 is to distinguish obligatory control from optional(arbitrary) control by analyzing the syntactic relation between the controller of PRO in the matrix sentence and the function of PRO in the infinitive clause. And PRO must be c-commanded by the obligatory control but can't necessarily be c-commanded by the optional control. But c-command can't be an absolute condition in discriminating the control types of PRO.

In this paper, we develop an efficient approach to solve a continuous review inventory system with a budget constraint when the semi-finished product and optional components are required to be assembled. We are, in particular, interested in a budget constraint that includes a service level. The service cost, such as labor and facility costs, tends to increase as the service level increase, and it makes the problem difficult to solve. Assuming that the reorder point for a semi-finished product is given, we show that the order quantity for the semi-finished product and the order quantity and reorder point for optional components can be determined by minimizing the total cost that includes setup cost, inventory holding cost, and shortage cost. The performance of the proposed approach is tested by numerical examples. By using sensitivity analysis, we conclude that, as the reorder point for semi-finished product increases, the order quantity for semi-finished product increases, whereas the order quantity and reorder point of optional components decreases.