假定需求是价格,服务水平的线性函数,采用最优控制方法求解最优价格和服务函数,分析了时间衰变因子对最优价格的影响以及两种需求弹性的性质。最后借助数值计算的方法研究了控制变量和状态变量的轨迹以及模型参数对目标函数值的影响情况。
It is assumed that the demand is a linear function of price and service level, firstly use the optimal control method is used to solve the optimal price function and service level function. Then the effects of the time decay factor on optimal price as well as the characters of demand elasticity are analyzod. Finally, this paper recurs to numerical calculation to research the trajectories of control variables and the state variables along with the effects of parameters of model on objective function.