北大中文核心期刊
中国科学引文数据库（CSCD）来源期刊
中国科技核心期刊
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运筹学学报 ›› 2018, Vol. 22 ›› Issue (4): 89-98.doi: 10.15960/j.cnki.issn.1007-6093.2018.04.008

• 运筹学 • 上一篇    下一篇

最优绩效分配的多目标优化方法

喻科1 张晓青2  赵克全2,*   

  1. 1. 重庆师范大学经济与管理学院, 重庆 401331; 2. 重庆师范大学数学科学学院, 重庆 401331
  • 收稿日期:2017-07-03 出版日期:2018-12-15 发布日期:2018-12-15
  • 通讯作者: 赵克全 E-mail: kequanz@163.com
  • 基金资助:

    国家自然科学基金重点项目(No.11431004), 国家自然科学基金面上项目 (Nos.11671062, 11271391), 重庆市基础与前沿研究计划项目 (No.cstc2015jcyjA00027), 重庆市教委科学技术研究项目(No.KJ1500303)

Multi-objective optimization approach of the optimal performance allocation

YU Ke1  ZHANG Xiaoqing2  ZHAO Kequan2,*   

  1. 1. School of Economics and Management, Chongqing Normal University, Chongqing 401331, China; 2. School of Mathmatical Sciences, Chongqing Normal University, Chongqing 401331, China
  • Received:2017-07-03 Online:2018-12-15 Published:2018-12-15

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摘要：

如何体现某种程度的激励并兼顾公平性是绩效分配问题研究的关键之一. 基于考核对象的个体差异性, 对考核对象进行分类处理, 通过引入以体现激励程度的控制参数和所有考核对象的基础工作量为变量的分值转化函数与满意度函数, 建立以所有考核对象的总体满意度的最大化和考核对象的满意度尽可能均衡为目标的多目标优化模型. 进而利用多目标优化模型的epsilon-约束标量化方法证明了弱有效解的存在性. 作为其应用, 研究了某高校教师的最优绩效分配问题.

关键词: 绩效分配, 分值转化, 满意度, 多目标优化模型, 解的存在性

Abstract:

How to reflect some degree of incentive and take into account fairness is one of the key problem of performance allocation. In this paper, all assessment objects are classified based on the individual difference, by introducing conversion function and desirability function regarding the control parameters to reflect the degree of incentive and basic workload of all assessment objects as variables, a multi-objective optimization model is formulated  with the objectives of maximizing the total desirability and the tradeoff of all assessment objects' desirability. Furthermore,  by means of the epsilon-constraint scalarization method, the existence is proved for weakly efficient solution. As its application, the optimal performance allocation of is studied.

Key words: performance allocation, score conversion, desirability, multi-objective optimization model, existence of solution