在优化模型中制定公平性的指南
Violet Xinying Chen1, J N Hooker2
1Stevens Institute of Technology, Hoboken, USA.
概括
本研究调查了将公平性纳入优化模型的数学方法,超越了简单的成本效益分析. 它提出了将道德标准纳入决策过程的实际方法.
科学领域:
- 运营研究 运营研究
- 决策科学 决策科学 决策科学
- 计算机科学 计算机科学
背景情况:
- 优化模型传统上专注于最大化收益或最小化成本.
- 将公平性和道德考虑纳入数学模型中存在重大挑战.
- 现有的文献提供了各种方法,但缺乏统一的框架.
研究的目的:
- 对优化中的公平性进行批判性调查和分析各种数学公式.
- 探索将效率和公平问题整合在一起的方法.
- 确定在优化模型中实施这些标准的实际方法.
主要方法:
- 关于优化和社会选择理论中的公平标准的综合文献综述.
- 对不平等措施,罗尔斯标准,讨价还价解决方案 (如纳什,卡莱-斯莫罗丁斯基) 和群体平价指标的分析.
- 检查公用事业门和公平门计划.
- 评估线性,非线性和混合整数编程中的表述.
主要成果:
- 详细概述多种公平性公式,包括阿尔法公平性,比例公平性和集团平价性.
- 确定各种优化建模技术的实际实施策略.
- 对公理和讨价还价推导的调查,考虑人际实用性可比性.
结论:
- 为优化提供了数学公平性标准的结构化概述.
- 提供了关于选择和实施适当的公平性表述的指导.
- 强调了决策模型中道德考虑的重要性.
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