多维向量空间决策模型及其应用研究  

Multi-imensional Vector Space Model and Its Application in Multi-Objective Operation Decision of Reservoir Group

作　　者：张培[1] 纪昌明[1] 吴月秋[1] 张验科[1] 李荣波[1] 

机构地区：[1]华北电力大学可再生能源学院,北京102206

出　　处：《中国农村水利水电》2017年第6期70-73,共4页China Rural Water and Hydropower

基　　金："十三五"国家重点研发计划课题(2016YFC0402208;2016YFC0402308;2016YFC0402309);国家自然科学基金项目(51279062);中央高校基本科研业务费专项资金项目(JB2015169;2016MS51)

摘　　要：对向量空间模型进行了改进,并将改进后的模型应用到水库群多目标调度决策问题中。首先计算待选方案指标有向线段与理想方案指标有向线段之间的映射距离,然后建立多目标调度方案最优向量空间决策模型,最后通过实例验证了所提方法的有效性与可行性。所提方法思路清晰、计算简单,同时具有一定的普适性与可移植性,尤其在计算结果的显著性及可扩展性方面有显著优势。In this paper, improvements are made to vector space model, which is then employed to address problems about decision-making in the multi-objective operation of reservoir group. Firstly, after being evaluated via certain indicators, each proposed scheme is denoted by a di- rected line segment whose cosine value with the ideal scheme is calculated, thus obtaining the mapping distance between the vector of the proposed scheme and that of the ideal one. Next, we develop an optimal vector space model for decision-making in muhi-objective operation of reservoir group. Finally, the feasibility and effectiveness of the model are verified by results of an example. The methodology in this paper proves to be simple and clear, with a certain degree of universality and transferability, plus a particularly noteworthy advantage in terms of the distinctiveness among computed results and the model＇s extendibility.

关 键 词：向量空间模型 夹角余弦 映射 水库群 多目标调度 

分 类 号：TV697.11[水利工程—水利水电工程]