黄河流域初始水权分配的Pareto前沿求解

Using NSGAⅡ Algorithm to Work out the Pareto Front of Initial Water Rights in Yellow River Basin

黄河"87分水方案"提出至今已逾20 a,在黄河流域的经济社会快速发展、优化算法和计算机技术极大进步的背景下,有必要对黄河流域的初始水权分配问题重新进行探讨。针对黄河流域九省区的初始水权分配问题,提出了初始水权分配应当遵循的原则及其量化函数,并抛弃处理多目标问题的传统加权法,而是应用NSGAⅡ算法计算其中4个原则的Pareto前沿,将黄河"87分水方案"与各种原则组合的Pareto前沿进行比较分析。最后,计算出对黄河"87分水方案"支配的方案集,并给出相应的推荐方案。结果表明:各项分配原则之间存在较大内在矛盾,且黄河"87分水方案"距这些原则的Pareto前沿仍有一定甚至较大距离。最终给出的推荐方案在各原则的表现上都较黄河"87分水方案"好。

The 1987 water rifhts allocation of the Yellow River has been proposed for more than 20 years. Considerinf the rapid development of both economy and society in the Yellow River basin,and the freat profress of optimization alforithm and computer technolofy,it is necessary to discuss the water rifhts allocation problem afain. At first,we discussed the allocation principles of initial water rifhts in the Yellow river basin,in which 9 provinces were concerned as afents,and the function expressions of these principles. Then we abandoned the traditional weifhtinf method dealinf with multi-obJective problem frequently,instead ofusinf NSGAⅡ Alforithm to work out the Pareto fronts between the 4 chosen principles, and compared the 1987 water allocation scenario with these Pareto fronts. Finally,we fifured out a scenario set composed of the scenarios dominatinf the 1987 water allocation scenario,and fave a recommended scenario.