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An optimization method for railway alignment schemes based on game-theoretic combination weighting and an interval
Dong Yang1, Feng Han2, Yuxiang Gao1
1School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, China.
Scientific Reports
|April 22, 2026
Summary
This study introduces a novel multi-attribute optimization model for railway alignment selection, integrating technical, economic, and social factors. The proposed method enhances decision-making rigor and provides stable, reliable route recommendations, especially for underdeveloped regions.
Area of Science:
- Civil Engineering
- Transportation Engineering
- Operations Research
Background:
- Railway alignment selection traditionally focuses on engineering aspects, neglecting crucial economic and social factors.
- Existing decision-making models struggle with quantifying qualitative indicators and balancing subjective/objective weights, impacting evaluation accuracy.
- There is a need for a more comprehensive and scientifically rigorous approach to railway alignment optimization.
Purpose of the Study:
- To propose a multi-attribute optimization model for railway alignment selection.
- To address limitations in current models by incorporating economic and social dimensions.
- To enhance the scientific rigor and effectiveness of railway alignment evaluation.
Main Methods:
- Systematic identification of key influencing factors through expert consultation and literature review.
- Development of a 20-indicator evaluation system across technical, economic, environmental, and regional development dimensions.
- Application of Analytic Hierarchy Process (AHP) for subjective weights, improved CRITIC method for objective weights, and game theory for integration.
- Utilization of an interval number distance-based decision-making model to quantify qualitative indicators and rank schemes.
Main Results:
- A comprehensive weighting method was developed, reducing sensitivity to weight factors in route selection.
- The interval number model provided stable scheme rankings that closely matched design institute recommendations.
- The case study validated the model's effectiveness for railway alignment selection.
Conclusions:
- The proposed model offers a scientifically robust framework for railway alignment selection, integrating diverse factors.
- The method enhances objectivity and reliability in decision-making, particularly beneficial for complex projects.
- Findings provide valuable insights for optimizing railway alignment, especially in economically underdeveloped regions.
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