中文摘要：

一个合理的加水策略，既能使浴缸中的水长时间保持恒定的舒适温度，又能尽可能节约水．综合考虑影响浴缸水温的各种因素，通过浴缸热传导模型和多目标规划模型，求解包含加水时间、流速等信息的最优加水策略．

英文摘要：

An reasonable water adding strategy, which can make the bath water maintain a constant temperature for a long time, and can save water as much as possible. Considering all kinds of factors that affect the temperature of the bathtub, the optimal water adding strategy including the time of adding water and the flow rate is solved by the bathtub heat conduction model and the multi objective programming model.