多目标规划与权限数据包络分析之间的联系：排序锥的作用

IF 6 2区管理学 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

European Journal of Operational Research Pub Date : 2024-12-12 DOI:10.1016/j.ejor.2024.12.002

Pekka Korhonen , Majid Soleimani-damaneh , Jyrki Wallenius

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引用次数: 0

摘要

本文探讨了多目标规划（MOP）和数据包络分析（DEA）之间一些新的、重要的和有趣的联系。我们证明了在DEA中施加权值限制对应于在MOP中以特定的方式改变排序锥。构造了一个新的有序锥，并证明了它的性质，为研究MOP和DEA之间的联系提供了有益的见解。在提供了几个理论结果之后，我们在现实世界的数据集上说明了它们。除了它们的理论吸引力，我们的结果具有重要的实际意义，因为几个原因，这是在本文中解决。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Connections between multiple-objective programming and weight restricted data envelopment analysis: The role of the ordering cone

This paper explores some new, important and interesting connections between Multiple-Objective Programming (MOP) and Data Envelopment Analysis (DEA). We show that imposing weight restrictions in DEA corresponds to changing the ordering cone in MOP in a specific way. The new ordering cone is constructed and its properties are proved, providing useful insights about the connections between MOP and DEA. After providing several theoretical results, we illustrate them on a real-world data set. In addition to their theoretical appeal, our results hold significant practical importance for several reasons which are addressed in the paper.

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来源期刊

European Journal of Operational Research 管理科学-运筹学与管理科学

CiteScore

11.90

自引率

9.40%

发文量

786

审稿时长

8.2 months

期刊介绍： The European Journal of Operational Research (EJOR) publishes high quality, original papers that contribute to the methodology of operational research (OR) and to the practice of decision making.