Author(s)

Min Yang ¹, Chongrun Wang ², Yumeng Yang ³, Ping Xiong ⁴, Ziyue Wang ⁵, Yi Zhang ³

Affiliation(s)

¹ Intelligent Manufacturing and Control Technology, Xi'an Mingde Institute of Technology, Xi'an, China
² Higher Vocational and Technical Colleges, Xi'an Mingde Institute of Technology, Xi'an, China
³ School of Information Engineering, Xi'an Mingde Institute of Technology, Xi'an, China
⁴ School of Energy and Power, Wuhan Electric Power Technical College, Wuhan, China
⁵ Faculty of Economics and Management, Xi'an Mingde Institute of Technology, Xi'an, China

Corresponding Author

Yumeng Yang

ABSTRACT

The purpose of this paper is to design a performance allocation scheme for researchers based on TOPSIS analysis and linear programming model. First, for the factors affecting performance, this paper transforms qualitative data into quantitative data by coding job titles and detecting outliers and missing values. Then, the TOPSIS method is used to calculate the weights of the indicators through SPSS software, and the performance of researchers is ranked according to the comprehensive score, and then the bonuses are allocated based on the principle of linear allocation. Secondly, this paper constructs a linear programming model at the team level, calculates the total team score and further allocates bonuses based on performance weights. Finally, for the missing data and distribution, the K-S test is used to test normality, and on this basis, the data are adjusted to ensure the accuracy and validity of the research results. The performance allocation scheme proposed in this paper can realize the fair distribution of rewards among researchers and provides a quantitative and systematic decision-making tool for research management.

KEYWORDS

Performance Allocation, TOPSIS Analysis, Linear Programming, K-S Tests

CITE THIS PAPER

Min Yang, Chongrun Wang, Yumeng Yang, Ping Xiong, Ziyue Wang, Yi Zhang, Design of Performance Allocation Schemes Based on TOPSIS Analysis and Linear Programming Models. Transactions on Computational and Applied Mathematics (2025) Vol. 5: 11-20. DOI: http://dx.doi.org/10.23977/tracam.2025.050102.

REFERENCES

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[2] Tang Xiaoyu. Evaluation of corporate financial performance based on AHP-TOPSIS model[J]. Financial Management, 2024, (06):58-59+62.
[3] Ren Zhiyong. Research on the introduction and performance of parallel engineering based on linear programming[J]. Residence, 2018, (12):165.
[4] Zheng Qi. Performance evaluation of business environment for private enterprises[J]. Cooperative Economy and Technology,2024, (01): 84-87.DOI: 10.13665/j.cnki.hzjjykj.2024.01.035.
[5] Zhang Tao, Zhou Chen, Du Feng, et al. Dynamic multi-objective planning algorithm for K-S change detection based on data flow[J]. Journal of Changjiang University (Natural Science Edition), 2024, 21(01): 109-116. DOI: 10.16772/j.cnki.1673-1409.20230222.001. 
[6] Kan Jie. Research on optimization of incentive mechanism of enterprise cadre management[N]. Xinxiang Daily, 2024-12-17(003).

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