摘要
针对资源均衡优化问题,定义了一种基于向量投影的TOPSIS指标为资源均衡性度量的新指标。对于多个资源均衡优化方案,首先确定正、负理想优化方案,计算各方案在正、负理想方案上的向量投影,然后计算各个方案的相对贴近度,再根据相对贴近度的大小衡量各个优化方案的优劣。该指标可以有效避免当采用传统的均值、方差或熵等度量指标评价某几个优化方案时,同一度量指标下这几个优化方案的目标函数值都相等而无法对这几个优化方案进行区别的不足。其次,构建了基于向量投影的TOPSIS为度量指标的资源均衡优化模型,并针对该模型设计了相应的粒子群算法。最后,运用一个算例验证分析了所提指标和算法的可行性和有效性。
A new index for measuring resource equilibrium is defined on the basis of TOPSIS index of vector projection for the problems of resources equilibrium optimization.For multi-resources equilibrium optimization schemes,first,positive and negative ideal optimization schemes shall be determined to calculate its vector projection and then its relative closeness which is used to measure its advantages and disadvantages in reverse.This index can effectively avoid the disadvantages of being unable to distinguish several optimization schemes when they are evaluated by traditional measurement indexes like mean,variance,entropy and so on,which has same objective function valve under the same measurement index.Second,the relevant particle swarm optimization is designed based on resources equilibrium optimization model which is build on the basis of the measurement index TOPSIS of vector projection.Third,the feasibility and effectiveness of the indexes and algorithms mentioned are analyzed through applying example verification.
出处
《甘肃科学学报》
2016年第2期113-118,共6页
Journal of Gansu Sciences
基金
山东省自然科学基金项目(ZR2015GM009)
中央高校基本科研业务费专项基金(15CX05007B)
关键词
资源均衡
TOPSIS
向量投影
粒子群算法
Resource equilibrium
TOPSIS
Vector projection
Particle swarm optimization
作者简介
王栎绮（1989-），女，硕士研究生，研究方向为工程项目管理．E-mail：wangliqi369369@163．com．
