环境经济与环境管理
周丰,陈国贤,郭怀成,刘永.改进区间线性规划及其在湖泊流域管理中的应用[J].环境科学学报,2008,28(8):1688-1698
改进区间线性规划及其在湖泊流域管理中的应用
- Modified interval linear programming for lake watershed management
- 基金项目：国家重点基础研究发展计划(973)项目(No2005CB724205);国家留学基金资助研究生项目(No2006100766)
- 作者
- 单位
- 周丰
- 北京大学环境科学与工程学院, 北京 100871
- 陈国贤
- 北京大学数学科学学院, 北京 100871
- 郭怀成
- 北京大学环境科学与工程学院, 北京 100871
- 刘永
- 北京大学环境科学与工程学院, 北京 100871
- 摘要：针对不确定性优化提出了改进区间线性规划(MILP)模型及其算法,从理论上证明了MILP模型的解空间绝对可行,从而弥补了以往区间线性规划的缺陷,为后续决策过程提供了有利的可行性条件.针对四川邛海流域综合管理,以水污染综合防治的投资成本与运行成本最小化为目标,以总磷环境容量等11个管理目标为约束,建立了20个子流域3个阶段的MILP模型,最终得到10个备选污染控制方案的最优规模、投资和TP削减能力.结果表明:①最优的总投资和TP最优削减量分别达到[620×106,1148×106]元和[57.43,59.95]t·a-1,重点方案为污水处理厂工程、农村污染控制工程和中度侵蚀水土流失防治工程;②实施基于最优区间解生成的决策方案时,需要严格保证TP环境容量约束,才能实现各阶段的水质达标.
- Abstract：Amodified interval linear programming (MILP) model and its solution algorithm are developed for optimization under uncertainty. This study shows theoretically that the MILPmodel is a more effective approach to obtain optimal and feasible solutions than previous ILPmodels. The MILPmodel was applied to the Lake Qionghai watershed to minimize the capital/ operating costs of pollution control,subject to eleven constraints including total phosphorus assimilative capacity. The final results are the optimal solutions for ten watershed management strategies in twenty sub-watersheds through three stages,which indicate that: ① the optimal capital/ operating costs would be [620,1148]×106 for TPreductions of [57.43,59.95]t·a-1; ② municipal wastewater treatment,rural pollution control and moderate water-soil erosion control are the measures of higher priority; ③ it is essential to meet the constraints of TPassimilative capacity for improving water quality in all the stages when generating decision alternatives based on optimal solutions.
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