有限时区上的最优转换和停止问题

讨论了有限时区上的最优转换和停止问题,它是一类同时具备脉冲控制和最优停止特征的最优控制问题.问题的最优值以及最优转换和停止决策可以由具有混合障碍的多维反射倒向随机微分方程的解来刻画.接着考虑了形式更一般的反射倒向随机微分方程并证明了方程解的存在唯一性.

Optimal Switching and Stopping Problem in Finite Horizon

This paper deals with a problem of optimal switching combined with discretionary stopping in finite horizon. It is an optimal control problem combining features of both stochastic impulse control and optimal stopping. The optimal value and strategy of switching and stopping are characterized in terms of the solution of multi-dimensional reflected backward stochastic differential equation (RBSDE, for short) with hybrid barriers.Then a more general RBSDE is considered and the existence and uniqueness of the solution of that equation are proven.