• 水资源 •

### 基于区间两阶段-部分信息模型的城市水资源优化配置

1. 1.东北农业大学水利与土木工程学院,哈尔滨 150030
2.东北农业大学工程学院,哈尔滨 150030
• 收稿日期:2018-12-24 修回日期:2019-04-04 出版日期:2019-08-28 发布日期:2019-08-21
• 作者简介:陈红光,女,辽宁省人,博士,副教授,主要从事水资源优化利用与系统分析研究。E-mail: chg218@126.com
• 基金资助:
黑龙江省自然科学基金项目(LC2015015);哈尔滨市应用技术研究与开发(青年后备人才)项目(2014RFQXJ122)

### An interval-parameter two-stage partial information programming model for optimal urban water resource planning

Hongguang CHEN1,Zhongjun WANG2,Qiongya WANG2,Shukui MAI2

1. 1.School of Water Conservancy and Civil Engineering, Northeast Agricultural University, Harbin 150030, China
2.College of Engineering, Northeast Agricultural University, Harbin 150030, China
• Received:2018-12-24 Revised:2019-04-04 Online:2019-08-28 Published:2019-08-21

Abstract:

In this paper, the interval two-stage stochastic programming method (ITSP) and the linear partial information (LPI) theory are combined to construct an interval-parameter two-stage partial information model (ITPM) with multi-source, multi-user and multi-objective. ITPM model can solve the problem that the traditional model ignores the uncertainty of urban rainfall-runoff which could lead to the discrepancy between the results of water distribution and the actual situation. The model was applied to the joint operation of surface water and groundwater in Harbin. Uncertainty of rainfall-runoff was analyzed by linear partial information theory. Four scenarios of flow level's probability distribution of discharge were obtained. Interval number and random number represent other uncertainties. An interactive algorithm was introduced to solve the model, and water shortage, optimal allocation, and overall benefits of urban water distribution system under different scenarios for urban water users were obtained. The allocation results were compared with those of the two-stage stochastic programming model. The results show that compared with the traditional water distribution model, the interval-parameter two-stage partial information model (ITPM) overcomes the impact of uncertainties such as rainfall-runoff on the benefits of water distribution system. ITPM model can effectively balance the economic benefits and the penalty risk of water shortage. Through ITPM model, four kinds of flow level distribution scenarios are obtained for water resources allocation in Harbin. When the probability of low flow level increases, the risk of water shortage increases, conservative water distribution schemes are obtained, and the economic benefits of the system decrease. When the probability of medium and high flow level increases, the available water quantity increases and gets positive water distribution schemes. In the same time, the economic benefits of the system increased. The optimal allocation schemes obtained by ITPM model is given in the form of intervals, which can more truly reflect the actual situation of urban water resources management and provide decision-making space for managers.