串联供水库群优化调度的模糊规划模型

Fuzzy Mathematical Programming for Optimal Operation of Feeding Reservoir Group in Series

针对随机动态规划在解决多个水库联合优化调度时存在"维数灾"问题,尝试基于模糊集理论来解决该优化调度问题。以4个串联供水水库系统为例,目标为各供水片区最小的缺水率最大,将水库的入流过程视为模糊集,而需水过程视为确定性的,建立了模糊规划模型,并引入可靠度和满意度对优化调度结果进行评价。实例分析表明,该模型既可以刻画入流的不确定性,又可以简化问题,具有一定的实用性。

The SDP has the defect of dimension disaster＂in optimal operation for reservoir group. Fuzzy sets is attempted to solve this problem. The optimal operation of four feeding reservoir group in series is taken for an example, a fuzzy mathematical programming is built. The object is maxing the minimum water deficient ratio, the inflow process is regarded as a fuzzy sets and the water demand process is determinate in this model. Finally, reliability and satisfaction are introduced to appraise the optimal operation results. This model can not only describe the indeterminacy of the inflow process, but also make the problem simple by fuzzy sets, which show it is practical to some extent.