In this study, we consider an optimal control problem driven by a stochastic differential system with stopping time terminal cost functional. To solve the under functional, introduce multi-time state systems, and prove that systems is near-optimal problem. We use to take place original functional terminal. Then, establish maximum principle for kind of introducing discrete system. Finally, provi...

We study a single-period inventory control problem with two independent suppliers. With the first supplier, the buyer incurs a high variable cost but negligible fixed cost; with the second supplier, the buyer incurs a lower variable cost but a positive fixed cost. At the same time, the ordering quantity is limited. We develop the optimal inventory control policy when the holding and shortage co...